Showing posts with label 10th Physics. Show all posts
Showing posts with label 10th Physics. Show all posts

27 September 2023

CBSE Numerical based on SA For Chapter:Electricity & its effects For (Class X)




1. A resistance of 6 ohms is connected in series with another resistance of 4 ohms. A potential difference of 20 volts is applied across the combination. Calculate the current through the circuit and potential difference across the 6 ohm resistance.


2. Calculate the number of electrons constituting one coulomb of charge per second through any cross section of a conductor.


3. How much work is done in moving a charge of 2 C across two points having a potential difference of 12 V ?


4. How much energy is given to each coulomb of charge passing through a 6 V battery ?


5. Calculate the work done in moving a charge of 5 Coulombs from a point at a potential of 210 Volts to another point at 240 Volts.


7. When a particle of charge 10 µC is brought from infinity to a point P, 2.0 mJ work is done by the external forces. What is the potential at P ?


9. How many electrons pass through a lamp in one minute if the current be 200 mA?

10. Calculate the current supplied by a cell if the amount of charge passing through the cell in 4 seconds is 12 C ?


11. A 2 Volt cell is connected to a 1 Ω resistor. How many electrons come out of the negative terminal of the cell in 2 minutes ?


12. a) How much current will an electric bulb draw from a 220 V source, if the resistance of the bulb filament is 1200 Ω ?

b) How much current will an electric heater coil draw from a 220 V source, if the resistance of the heater coil is 100 Ω ?

13. The potential difference between the terminals of an electric heater is 60 Volts when it draws a current of 4 Ampere from a source. What current will the heater draw if the potential difference is increased to 120 Volt.

14. A torch bulb when cold has 1Ω resistance. It draws a current of 0.3 Ampere when glowing from a source of 3 V. Calculate the resistance of the bulb when glowing and explain the reason for the difference in resistance.
 
15. A current of 0.2 Ampere flows through a conductor of resistance 4.5 Ω. Calculate the potential difference at the ends of the conductor.

04 April 2015

Solved Electricity numerical for class 10


1. Question: Two bulbs have ratings 100 W, 220 V and 60 W, 220 V respectively. Which one has a greater resistance?

Answer: P=VI=  V2/R For the same V, R is inversely proportional to P. 

Therefore, the bulb 60 W, 220 V has a greater resistance.

2. Question: A torch bulb has a resistance of Ω when cold. It draws a current of 0.2 A from a source of 2 V and glows. Calculate
(i) the resistance of the bulb when glowing and
(ii) explain the reason for the difference in resistance.


Answer:
(i) When the bulb glows:

V = I R ---- Ohm's law R = V/I = 2/.2 =10 Ω

(ii) Resistance of the filament of the bulb increases with increase in temperature. Hence when it glows its resistances is greater than when it is cold.

3. Question: Calculate the resistance of 1 km long copper wire of radius 1 mm. (Resistivity of copper = 1.72 x 1 0-8

Answer: L = 1 km = 1000 m
R = 1 mm = 1 x 1 0-3
p = 1.72 x 1 0-8  W m

Area of cross section = p r2  = 3.14 x 1 0-3 x 1 0-3 =  3.14 x 1 0-6

R = pl/A = (1.72 x 1 0-8  x 1000 ) / 3.14 x 1 0-6  = 5.5 W

4. Question: When a potential difference of 2 V is applied across the ends of a wire of 5 m length, a current of 1 A is found to flow through it. Calculate: 
(i) the resistance per unit length of the wire                   
(ii) the resistance of 2 m length of this wire 
(iii) the resistance across the ends of the wire if it is doubled on itself.

Answer: (i) V = I R ----- Ohm's law R=V/I=2/1= 2 Ohm

Resistance per unit length: 2/5= 0.4 Ohm/m

(ii) Resistance of 2 m length of the wire = 0.4 x 2=0.8 ohm

(iii) When the wire is doubled on itself:

(a) the area of cross-section is doubled. If A is the original C.S. area, now it is 2 A.

(b) The length becomes half i.e.L/2 

Resistance of this wire =R' = p (l/2)/(2A) = 1/4(p(L/A)

But p(L/A) = 2 ohm

R' = 1/4 x 2=0.5 Ohm

5. How much work is done in moving 4 C across two point having pd. 10 v

Solution : W = VQ = 10 x 4 = 40J

6. How much energy is given to each coulomb of charge passing through a 9 v battery?

Solution:  Potential difference = Work done = Potential difference × charge

Where, Charge = 1 C and Potential difference = 6 V

Work done = 9×1 = 9 Joule.

7. 100  j of work is done in moving a charge of 5 C from one terminal of battery to another . What is the potential difference of battery?

Solution: V = W/Q =  100j/5C = 20 V

8. If 4 x 10 -3 J of work is done in moving  a particles carrying a charge   of 16 x 10 - 6 C from infinity to point P .What will be the potential at a point?

Solution: the potential at a point is work done to carry unit from one point to another  
                         = (4 x 10 -3 ) /(16 x 10 - 6 C) = 250 V

9. Calculate the current and resistance of a 100 W ,200V electric bulb.

Solution:Power,P = 100W   and     Voltage,V = 200V

Power  P  = VI
So, Current I = P/v = 100/200 = 0.5A

Resistance R = V/I = 200/0.5 = 400W.

10.Calculate the power rating of the heater coil when used on 220V supply taking 5 Amps.

Solution:

Voltage ,V = 220V     and  Current ,I = 5A,

Power,P = VI = 220 × 5 = 1100W = 1.1 KW.

11.A lamp can work on a 50 volt mains taking 2 amps.What value of the resistance must be connected in series with it so that it can be operated from 200 volt mains giving the same power.

Solution: Lamp voltage ,V = 50V and  Current ,I = 2 amps.

Resistance of the lamp = V/I   = 50 / 2     = 25 Ω

Resistance connected in series with lamp = r.
Supply voltage = 200 volt. and  Circuit current I = 2 A

Total resistance Rt= V/I  = 200/2    = 100Ω
                         Rt = R + r          =>    100 = 25 + r      =>  r = 75Ω 

12. Calculate the work done in moving a charge of 5 coulombs from a point at a potential of 210 volts to another point at 240 volts

Solution: Potential diffrence  = 210 ­ - 240 = ­30 V 

So, W.= V x  Q = ­30V  x  5C = ­150 Joules

13. How many electrons pass through a lamp in one minute if the current be 220 mA?

Solution:

I  = 220 mA = 0.22 A 

I = Q/T 

0.22 = Q/60 

Q= 0.22 x 60 = 13.2 C 

No of electron carry 1 C charge = 6 x 10 18 

No of electron carry 13.2 C charge = 6 x 10 18 x 13.2 C = 79.2 x 10 18

14.Calculate the current supplied by a cell if the amount of charge passing through the cell in 4 seconds is 12 C ?

Solution:

I = Q/t = 12/4 = 3A


15. A 2 Volt cell is connected to a 1 Ω resistor. How many electrons come out of the negative terminal of the cell in 2 minutes?

Solution: V = IR =>  I = V/R = 2/1 = 2 A

I = Q/t  =>  Q = It = 2 x 2 x 20 = 80 C

No of electron carry 1 C charge = 6 x 10 18 

No of electron carry  80 C  charge = 6 x 10 18 x 80 C = 108  x 10 18   = 1. 08  x 10 20

16. (a) How much current will an electric bulb draw from a 220 V source, if the resistance of the bulb filament is 1200 Ω?

(b) How much current will an electric heater coil draw from a 220 V source, if the resistance of the heater coil is 100 Ω?

Solution

(a) We are given V = 220 V; R = 1200 Ω.
we have the current I = V/R  = 220 V/1200 Ω = 0.18 A.
(b) We are given, V = 220 V, R = 100 Ω.
 we have the current I = V/R =  220 V/100 Ω = 2.2 A.

17. The potential difference between the terminals of an electric heater is 60 V when it draws a current of 4 A from the source. What current will the heater draw if the potential difference is increased to 120 V?

Solution

We are given, potential difference V = 60 V, current I = 4 A.

According to Ohm’s law, R = V/I = 60/4 =15Ω

When the potential difference is increased to 120 V


the current is given by current = V/R = 120V/15 = 8A

The current through the heater becomes 8 A.

18. A 4 Ω resistance wire is doubled on it. Calculate the new resistance of the wire.

Solution

We are given, R = 4 Ω.

When a wire is doubled on it, its length would become half and area of cross-section would double. T
So,  a wire of length l and area of cross-section A becomes of length l/2 and area of cross section 2A. we have R = ρ(l/A)

R1 = ρ((l/A) / 2A)   where R1 is the new resistance.

Therefore, R1/R = ρ((l/A)/2A) / ρ(l/A) = 1/4

Or, R1 = R/4 = 4Ω/4 = 1Ω

The new resistance of the wire is 1 Ω.

19 . 3.A circuit is made of 0.4 Ω wire,a 150Ω bulb and a 120Ω rheostat connected inseries.Determine the total resistance of the resistance of the circuit. 

Solution: Resistance of the wire = 0.4Ω              
Resistance of bulb = 150Ω
Resistance of rheostat = 120Ω
In series,  Total resistance ,R = 0.4 + 150 +120 = 270.4Ω

20. A current of 0.2 Ampere flows through a conductor of resistance 4.5 Ω. Calculate the potential difference at the ends of the conductor.

Solution:

The potential difference at the ends of the conductor. =  V = IR = 0.2  x  4.5  = 0.9 V

21. A lamp has a resistance of 96 ohms. How much current flows through the lamp when it is connected to 120 volts?


Solution: I = V/R = 120/96 = 1.25 A [V = IR]

The current through the lamp equals 1.25 A.'

22. The manufacturer specifies that a certain lamp will allow 0.8 ampere of current when 120 volts is applied to it. RRWhat is the resistance of the lamp?


Solution: V = IR So, R = V/I = 120/0.8 = 150 W

23. How much voltage is required to cause 1.6 amperes in a device that has 30 ohms of resistance?
Given: V = IR = 1.6 x 30 = 48 V

24. How much power is dissipated when 0.2 ampere of current flows through a 100-ohm resistor?
Ans: P = V I = IR x I = I2 R = 0.2 x 0.2 x 100 = 4 W


25, How much energy is converted by a device that draws 1.5 amperes from a 12-volt battery for 2 hours?

W = Pt, P = V I So, W = VIt = 12 x 1.5 x 2 = 36 Wh


13 April 2014

CBSE Physics Numerical based on chapter - Electricity & its effects For (Class X)

NUMERICAL - Electricity and its effects For (Class X)
1. A resistance of 6 ohms is connected in series with another resistance of 4 ohms. A potential difference of 20 volts is applied across the combination. Calculate the current through the circuit and potential difference across the 6 ohm resistance.


2. Calculate the number of electrons constituting one coulomb of charge per second through any cross section of a conductor.


3. How much work is done in moving a charge of 2 C across two points having a potential difference of 12 V ?


4. How much energy is given to each coulomb of charge passing through a 6 V battery ?


5. Calculate the work done in moving a charge of 5 Coulombs from a point at a potential of 210 Volts to another point at 240 Volts.


7. When a particle of charge 10 µC is brought from infinity to a point P, 2.0 mJ work is done by the external forces. What is the potential at P ?


9. How many electrons pass through a lamp in one minute if the current be 200 mA?


10. Calculate the current supplied by a cell if the amount of charge passing through the cell in 4 seconds is 12 C ?


11. A 2 Volt cell is connected to a 1 Ω resistor. How many electrons come out of the negative terminal of the cell in 2 minutes?


12. a) How much current will an electric bulb draw from a 220 V source, if the resistance of the bulb filament is 1200 Ω ?


b) How much current will an electric heater coil draw from a 220 V source, if the resistance of the heater coil is 100 Ω ?


13. The potential difference between the terminals of an electric heater is 60 Volts when it draws a current of 4 Ampere from a source. What current will the heater draw if the potential difference is increased to 120 Volt. 


14. A torch bulb when cold has 1Ω resistance. It draws a current of 0.3 Ampere when glowing from a source of 3 V. Calculate the resistance of the bulb when glowing and explain the reason for the difference in resistance. 


15. A current of 0.2 Ampere flows through a conductor of resistance 4.5 Ω. Calculate the potential difference at the ends of the conductor.       

22 October 2013

10th Question from Board Paper (Light – Reflection and Refraction) 2014

 CBSE PHYSICS class 10 Term-II Board Question
 Q. What is the minimum number of rays required for locating the image formed by a convex mirror for an object ? Draw a ray diagram to show the formation of a virtual image by a convex mirror.

Q. A 4.0cm tall object is placed perpendicular to the principal axis of a convex lens of focal length 20cm. If the distance of the object from the lens is 30cm, find the position, nature and size of the image. Also, find its magnification.
Q. (a) 4.5cm needle is placed 12cm away from a convex mirror of focal length 15cm. Give the location of the image and the magnification. Describe what happens as the needle is moved farther from the mirror.
(b) What kind of mirror is used in a solar furnace ? Give reason for using this mirror.
 (c) One half of a convex lens is covered with a black paper. Will this lens produce a complete image of the object ? Justify your answer.

Q. (a) When an object is placed at a distance of 60 cm from a convex mirror the magnification produced is 1/2 . Where should the object be placed to get a magnification of 1/3 ? (b) A small electric lamp is placed at the focus of a convex lens. What is the nature of beam of light produced by the lens. Draw a diagram to show this.

Q. The refractive index of a dense flint glass is 1.65 and for alcohol it is 1.36 with respect to air. Find the refractive index of dense flint glass with respect to alcohol.

Q. Draw a ray diagram to show refraction of light through a triangular glass prism and show angle of incidence and angle of deviation.
Q. Refractive index of diamond with respect to glass is 1.6 and absolute refractive index of glass is 1.5. Find (i) absolute refractive index of diamond (ii) Speed of light in diamond. The speed of light in air is 3x108 m/s.

Q. Name a mirror that can give an erect and magnified image of an object. Draw labelled ray diagram to justify your answer.

Q. (a) Define “power of accommodation of eye”.
 (b) A person uses a lens of power -2.0D for correcting his distant vision. For correcting his near vision he uses a lens of power +1.5D. What is the focal length of the lenses required to correct this disorder ?

Q. (a) State Snell’s Law.
 (b) A beam of light passes from air to a substance X. If angle of incidence is 45 degrees and angle of refraction is 30 degrees, calculate the refractive index of substance X. Given sin 30o = ½ ; sin 45 o = 1/rot2  
(c) A convex lens forms a real and inverted image of a needle at a distance of 50 cm from it. Where is the needle placed if the size of the image is equal to the size of the object ? Calculate the power and focal length of the lens.

Q. (a) An object is placed at a distance of 60 cm from a convex mirror the magnification produced is 1/2 . Where should the object be placed to get a magnification of 1/3 ?
 (b) A small electric lamp is placed at the focus of a convex lens. State the nature of beam of light produced by the lens. Draw a diagram to show this.

Q. The radius of curvature of concave mirror is 50cm. Where should an object be placed from the mirror so as to form its image at infinity ? Justify your answer.

Q. (a) Name and define the S.I. unit of power of a lens. (b) How is the power of a lens related to its focal length ? Find the power of a concave lens of focal length 25cm.

Q. (a) State Snell‟s law of refraction. (b) What is the speed of light in a transparent medium which has a refractive index of 1.7 (the speed of light in vacuum is 3x108 m/s)

Q. (a) Two lenses have power of (i) 2D (ii) – 4D. State the nature and focal length of each lens. 
(b) A concave lens has focal length of 20 cm. At what distance from the lens a 5cm tall object be placed so that it forms an image at 15cm from the lens ? Also calculate the size of the image formed.

Q. (a) Name the type of mirror used in the following : 
(i) Headlights of a car. (ii) Rear view mirror of a vehicle. Support your answer with reason.
(b) When an object is placed at a distance of 60cm from a diverging spherical mirror, the magnification produced is 0.5. Where should the object be placed to get a magnification of 1/3  ?

Q. An object is placed at a distance of 20 cm in front of convex mirror of radius of curvature 30 cm. Find the position and nature of the image.

Q. State the type of lens used as a simple magnifying glass. Draw a labelled ray diagram to show the image formation by this lens. List the characteristics of the image formed.

Q. (i) Find the value of the angle of reflection when an incident ray makes an angle of 40o with a plane mirror.
(ii) Light enters from air into water which has a refractive index of 1.33. Calculate the speed of light in water. (speed of light in air is 3 x 108 m/s.)

Q. Draw a ray diagram in each of the following cases to show the position and nature of the image formed when the object is placed
(i) between pole and principal focus of a concave mirror.
(ii) between centre of curvature and principal focus of a concave mirror.

Name the type of mirror which can be used to obtain a diminished and virtual image of an object. Mention an application of such a mirror . Draw a labelled ray diagram to show the formation of the required image in the mirror.

Q. Name the type of lens that can be used to obtain :
(i) A magnified and virtual image.   (ii) A diminished and virtual image of the object.

Draw labelled ray diagrams to show the formation of the required image in each of the above two cases. Which of these lenses can also form a magnified and real image of the object? Draw labelled ray diagram to show the position of object and image for such a lens.

Q. (i) List any two properties of the image formed by a plane mirror. (ii) The power of a spherical lens is – 2D. State its nature and calculate its focal length in centimeter.

Q. (i) Define optical centre of a lens.
(ii) In refraction of light through a rectangular glass slab, the emergent ray is parallel to the direction of the incident ray. Why ?
(iii) What happens when a light ray is incident normally on one of the faces of a rectangular glass slab ?

Q. (i) Draw a ray diagram in each of the following cases. Also mark the angle of incidence

(i) and angle of reflection in the diagram.
(a) A ray passing through the principal focus of a convex mirror.
(b) A ray incident obliquely to the principal axis towards the pole of a concave mirror. 

(ii) An object, 2.0 cm in size, is placed 20.0cm in front of a concave mirror of focal length 15.0cm. At what distance from the mirror should a screen be placed in order to obtain a sharp image ? Find the nature and the size of the image formed.

Q. (i) Draw the ray diagrams in each of the following cases to show the position and nature of the image formed when the object is placed :
 (a) at „2F‟ of a converging lens. (b) between the focus and optical centre of a converging lens. 
(ii) The magnification produced by a spherical lens is 1/3  . If the image is formed at a distance of 10cm from the lens, find the position of object. Also find the nature and focal length of this lens. 

Q. A 2 cm tall object is placed at a distance of 25 cm from a convex lens of focal length 10 cm. Find the nature, size and position of the image so formed.

Q. With respect to air the refractive index of kerosene is 1.44 and that of diamond is 2.42.  Calculate the refractive index of diamond with respect to kerosene

Q. Name the type of mirror which always forms a virtual and diminished image of the object in front of it. Draw the diagram for the same for an object in front of it at a finite distance. State any one use of it

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22 June 2013

Current Electricity Numerical solved Physics class 10



Q 1.Calculate number of electrons in one coulomb of charge.

Ans : As we know Q = ne
So, in 1 electron there is 1.6 x 1019C of charge
In 1C there will be1/1.6x1019 electrons=6.25x10 18 electrons

Q.2: . A household uses the following electric appliances:
 (i) Refrigerator of rating 400 W for ten hours each day.
(ii) Two electric fans of rating 80 W each for twelve hours each day.
(iii) Six electric tubes of rating 18 W each for 6 hours each day.
Calculate the electricity bill of the household for the month of June if the cost per unit of electric energy is Rs. 3.00.

Ans:
 A) Electric Energy consumed per day = 400 x 10 + 2 x 80 x 12 + 6 x 18 x 6 = 6568 wh
Total Energy per month = (6568x30)/100=197.040 kWh
Total Cost = 197.040 x 3= Rs 591

Q. (i) A 100 W electric bulb is connected to 220 V mains power supply. Calculate the strength of the electric current passing through the bulb.

(ii) If the same bulb is taken to U.S.A where the main power supply is 110 V, how much electric current will pass through the bulb when connected to mains?

Ans)
(a) Both the expressions are correct. In the first case, I remain constant whereas the second expression is true when V remains constant

i)P=VI
 I=P/V=100/220=10/22 A

R=V/I=220X 22/10=484

ii)I=V/R=110V/484W=(110/484)A

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03 October 2011

CBSE Question Bank Class 10 Physics The Humane Eyes and Dispersion of light

Very short answer Questions (1 mark)
1. Is the eye lens convex or concave?
2. What is the far point of a normal eye?
3. What is the near point of a normal eye?
4. How is the amount of light entering the eye controlled?
5. Which defect of vision can be rectified by convex lens?
6. Which defect of vision can be rectified by concave lens?
7. Define power of accommodation of eye.
8. Which colour suffers maximum deviation on passing through a prism?
9. Give two examples for atmospheric refraction.
10. Give the essential condition for observing a rainbow.
Short answer questions (2 marks)

28 September 2011

X Solved practice Problem-Light (Reflection and Refraction)

VERY SHORT QUESTIONS CARRYING 1 MARK EACH.
1. Out of convex mirror and concave mirror, whose focus is situated behind the mirror?
Ans: The focus of convex mirror is situated behind it.
2. For what position of an object, a concave mirror forms an enlarged virtual image?
Ans: Object between pole (P) and focus (F) of the concave mirror.
3. If the focal length of a concave mirror is 25cm. What is its radius of curvature?
Ans: Focal length = Radius of curvature / 2
25 = R / 2  => R = 50cm.
4. A ray of light falls on a mirror normally. What are the values of angle of incidence and the angle of reflection?
Ans: Both angle of incidence and the angle of reflection are zero.
5. What is the focal length of a plane mirror?
Ans: Infinite.
6. Which spherical mirror is called a divergent mirror?
Ans: A convex mirror is called a divergent mirror.
7. What is the angle of incidence, when a ray of light falls on the spherical mirror from its centre of curvature?
Ans: The angle of incidence is zero, when a ray of light falls on the spherical mirror from its centre of curvature.
8. Name the type of mirror that always forms a virtual image for a real object?
Ans: Convex Mirror.
9. State the relation between radius of curvature and focal length of spherical mirrors.
Ans: Radius of curvature = 2 X focal length.
R = 2f.
10. Which of the two is a diverging lens? Convex lens (or) Concave lens.
Ans: Concave lens.
11. If an object is placed at a distance of 10cm in front of a plane mirror, how far would it be from its image?
Ans: The object would be at a distance of 20cm from its image.
12. Name the physical quantity which remains the same when light goes from one medium to another?Ans: Frequency of light.
13. Define power of a lens.
Ans: The reciprocal of the focal length of the lens is called power of a lens. P = 1/f
14. Calculate the power of a convex lens of focal length 25cm?
Ans: Focal length f = 25cm.
Power = 1/.25 = 100/25 = +4D.
15. Name the phenomenon responsible for the following affect.
When we sit in front of a plane mirror and write with our right hand, it appears in the mirror that we are writing with the left hand.
Ans: Lateral Inversion.
16. Define Refractive Index:
Ans: It is the ratio of speed of light in vacuum to the speed of light in medium is called Refractive index.
17. Why is the convex lens also known as a converging lens?
Ans: A convex lens is also known as a converging lens because it converges a parallel beam of light raying passing through it.
18. Give the ratio of velocities of two light waves travelling is vacuum and having wave lengths 4000A0 and 8000A0.
Ans: In Vacuum, light of all the wave lengths travel with the same velocity i.e. 3 X 108 m/sec.
19. For what angle of incidence, the lateral shift produced by parallel sided glass plate is zero?
Ans: For i = 0.
20. What are the factors on which the lateral shift depends?
Ans: Thickness of the refracting medium, angle of incidence and its refractive index.
21. What is the power of a plane glass plate?
Ans: Zero.
22. An object is placed at the focus of a concave lens. Where will its image be formed?
Ans: The rays will appear to come from infinity. Therefore, a virtual image will be formed at infinity.
23. What is the unit of power of a lens?
Ans: Dioptre.
24. Refractive index of media A,B,C and D are
A 1.54
B 1.33
C 1.46
D 1.62
In which of the four media is the speed of light (i) Minimum (ii) Maximum.
Ans: (i) Speed of light is minimum in medium D (n = 1.62).
(ii) Speed of light is maximum is medium B (n = 1.33).
25. Why the stars appear to twinkle?
Ans: The twinkling of a star is due to the atmospheric refraction of star’s light.
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