Free Printable MR* Ques

1.

If a body is positively charged, then it has

a)

excess of electrons

b)

excess of protons

c)

deficiency of electrons

d)

deficiency of neutrons

2.

A body can be negatively charged by :

a)

Giving excess of electrons to it

b)

Removing some electrons from it

c)

Giving some protons to it

d)

Removing some neutrons from it

3.

during charging of her body mass of the body increases then the body becomes

a)

+vely Charged

b)

remains neutral

c)

-vely Charged

d)

NONE

4.

charge development on the body 10 electron removed from the body

a)

1.6 X 10^-19 C

b)

3.2 X 10^-19 C

c)

6.25 X 10^-16 C

d)

1.6 X 10^-18 C

5.

Two bodies are charged by rubbing one against the other During the process, one becomes positively charged while the other becomes negatively charged. Then mass of each body

a)

Remains unchanged

b)

Charges marginally

c)

And total mass changes slightly

d)

Changes slightly but the total mass remains unchanged

6.

Number of electrons in one coulomb of charge will be

a)

5.46 × 10²⁹

b)

6.25 × 10¹⁸

c)

1.6 × 10⁺¹⁹

d)

9 × 10¹¹

7.

The electric charge in uniform motion produce

a)

An electric field only

b)

A magnetic field only

c)

Both electric and magnetic field

d)

Neither electric nor magnetic field

8.

Identify the wrong statement.

a)

Charge is a vector quantity

b)

Current is a scalar quantity

c)

Charge can be quantised

d)

Charge is additive in nature.

9.

If a charge on the body is 1 nC, then how many electrons are present on the body?

a)

1.6 × 10¹⁹

b)

6.25 × 10⁹

c)

6.25 × 10²⁷

d)

6.25 × 10²⁸

10.

When a piece of polythene is rubbed with wool, a charge of –2 × 10^–7 C is developed on polythene. What is the amount of mass which is transferred to polythene?

a)

5.69 × 10^–19kg

b)

6.25 × 10^–19 kg

c)

9.63 × 10^–19 kg

d)

11.38 × 10^–19 kg

11.

If 10¹⁰ electrons are acquired by a body every second, the time required for the body to get a total charge of 1C will be

a)

2 h

b)

2 days

c)

2 yr

d)

20 yr

12.

A comb rub through one’s dry hair attracts small bits of paper. This is due to

a)

Comb is a good conductor

b)

Paper is good conductor

c)

The atoms in the paper get polorised by the charged comb

d)

The comb possesses magnetic properties

13.

What is charge on 90 kg of electrons?

a)

1.58 × 10¹³ C

b)

2.3 × 10¹² C

c)

2.53 × 10¹² C

d)

None of these

14.

Two identical spheres carrying charges –9μC and 5μC, respectively are kept in contact and then separated from each other. Point out true statement from the following. In each sphere

a)

1.25 × 10¹³ electrons are in deficit

b)

1.25 × 10¹³elections are in excess

c)

2.15 × 10¹³ electrons are in excess

d)

2.25 × 10¹³ electrons are in deficit

15.

Which of the following charge is possible

a)

1/100 C

b)

1/50 e

c)

4.8 x 10^-21 C

d)

1.56 x 10^-15 C

16.

Which of the following charge is not possible

a)

6.4 x 10^-17 C

b)

7.8 x 10^-13 C

c)

4.8 x 10^-19 C

d)

5.71 x 10^-16 C

17.

Charge and body is -1 PC then find excess electron given to that object . Also find extra mass given to that charge during charging

a)

12.5 x 10⁶,6.25 x 10⁶ x 9.1 x 10^-31 kg respectively

b)

6.25 x 10⁶,6.25 x 10⁶ x 9.1 x 10^-31 kg respectively

c)

6.25 x 10⁵,5.6 x 10⁶ x 9.1 x 10^-31 kg respectively

d)

12.5 x 10⁶,6.25 x 10⁶ x 18.2 x 10^-31 kg respectively

18.

If a body is losing 10⁴ electron per second .Then find the charge on a body after two days

a)

1.6 x 10⁸

b)

1.728 x 10⁸

c)

1.456 x 10⁸

d)

1.728 x 10⁹

19.

Sure check off charge on a body

a)

attraction

b)

repulsion

c)

both

d)

none of these

20.

If two charge body having charge 5C and -10 C are placed in contact then find Net charge on the body if they are conducting sphere of the same size

a)

-5 C

b)

-2.5 C

c)

5 C

d)

2.5 C

21.

Smallest unit of charge is

a)

Frankline

b)

Faraday

c)

Coloumb

d)

E.M.U

22.

Which of the following is not correct about charge

a)

charge on a body is integral multiple of a certain charge known as charge of Electron

b)

charg is scalar quantity

c)

charge can be converted into energy and energy be converted into charge

d)

none of these

23.

if 10¹⁴ electrons are removed from a neutral metal sphere then the charge on the sphere becomes

a)

16 $\mu C$

b)

-32 $\mu C$

c)

-16 $\mu C$

d)

32 $\mu C$

24.

Which of the following is not correct unit of charge

a)

farad

b)

faraday

c)

coloumb

d)

stat coloumb

25.

A glass rod is rubbed with a silk cloth acquire a charge of 19.2 x10¹⁹. Find the number of Electrons lost by the glass rod

a)

12

b)

14

c)

10

d)

5

26.

A conductor has one 4.4 x10^-19 C positive charge. The conductor has

a)

9 electron in excess

b)

27 electrons in excess

c)

9 electron in short

d)

27 electrons in short

27.

Charge on an alpha particle is

a)

1.6 x 10^-19C

b)

3.2 x 10^-19C

c)

6.4 x 10^-19C

d)

4.8x10^-18C

28.

A body has -80μC charge number of additional electrons in it will be

a)

15 x 10¹⁴

b)

5x10¹⁰

c)

5x10¹⁴

d)

5x10^-10

29.

two charges Q₁ and Q₁shows repulsion, then which of the following option is correct for this:

a)

Q₁x Q₂=0

b)

Q₁x Q₂>0

c)

Q₁x Q₂<0

d)

All of these

30.

When a soap bubble is charged then its size

a)

Increases

b)

Decreases

c)

Remain same

d)

None of these

31.

Speed of charged body is decreasing continuously then its charge and specific charge will be

a)

Increase, increase

b)

Decrease, same

c)

Same, increase

d)

Same, same

32.

If a solid and hollow conducting sphere have same radius then what will be the final charge on each sphere if key is closed

a)

Solid sphere has more maximum charge

b)

Hollow sphere has more maximum charge

c)

Both will hold same maximum charge

d)

Both the sphere cannot hold charge

33.

2 identical conducting sphere carrying charge -9μC and 5μC respectively are kept in contact and then separated from each other. Point out true statement from the following. In each sphere

a)

1.25 X 10¹³ electron are in deficient

b)

1.25 X 10¹³ electron in excess

c)

2.25 X 10¹³electron in excess

d)

2.15 X 10¹³electron in deficient

34.

Find final charge if key is closed

a)

Q₁=10/3 C, Q₂=10/3 C

b)

Q₁=5/3 C, Q₂=20/3 C

c)

Q₁=10/3 C, Q₂=20/3 C

d)

Q₁=20/3 C, Q₂=10/3 C

35.

If point charge is placed very near to the uncharged conducting sphere then net charge induced on this sphere is

a)

Zero

b)

Positive

c)

Negative

d)

Can't say

36.

2 uncharged metal sphere placed in contact as soon in figure and a positive charge rod place in contact with A, then charge on A and B will be

a)

Both become positive

b)

Both become negative

c)

A negative but B become positive

d)

A become positive and B negative

37.

2 uncharged metal sphere placed in contact as shown in the figure If the rod is placed very near to the A sphere but not in contact then

a)

Both become positive

b)

Both become negative

c)

A is positive but B is negative

d)

A is negative but B is positive

38.

A body can be negatively charged by

a)

Rubbing

b)

By connecting with earth under the influence of positively charged conductor

c)

By connecting it with negatively charged conductor

d)

All of the above

39.

A glass rod rubbed with silk and used to charge a gold leaf electroscope and the leaves are observed to diverge. The electroscope thus charged is exposed to X-rays for a short period. Then

a)

The divergence of leaves will not be affected

b)

The leaves will diverge further

c)

The leaves will collapse

d)

The leaves will melt

40.

Five balls numbered 1 to 5 are suspended using separate threads. Pairs (1, 2), (2, 4) and (4, 1) show electrostatic attraction, while pair (2, 3) and (4, 5) show repulsion. Therefore ball 1 must be

a)

Positively charged

b)

Negatively charged

c)

Neutral

d)

Made of metal

41.

Gold leaf electroscope is given a positive charge so that it's leaves diverge. How is the divergence of leaves affected when a negatively charged rod is brought near its disc

a)

Divergence increases

b)

Divergence decreases

c)

Divergence remains the same

d)

Can't say

42.

To perform these steps one by one

(a) a positively charged rod is brought closer to initially uncharged knob.

(b) then the positively charged rod is touched to the nob knob.

(c) now the positively charged rod is removed and a negatively charged road is placed.

Rod of same magnitude is brought closer at same distance in which case the leaves will converge (come closer), as compared to the previous state

a)

(a)

b)

only (c)

c)

(a) and (c)

d)

In all cases, the leaves will diverge

43.

Electric charges A and B repel each other. Electric charges B and C also repel each other. If A and C are held together they will

a)

Attract

b)

Repel

c)

Not affect each other

d)

Not enough information

44.

electric charges X&Y repel each other and X&Z attract each other then the nature of force between Y and Z

a)

Attract

b)

Repel

c)

Zero

d)

Not enough information

45.

Identify nature of force between body X and Y, Y and Z (Y and Z are neutral)

a)

attract, repel

b)

repel, attract

c)

attract, attract

d)

Repel, repel

46.

2 point charges separated at a distance d repel each other with the force of 9 N. If the separation between them becomes 3d, the force of repulsion will be

a)

1 N

b)

3 N

c)

6 N

d)

27 N

47.

Coulomb's law is analogous to

a)

Charge conservation law

b)

Newton's law of gravitation

c)

Newton's second law of motion

d)

Law of conservation of energy

48.

2 point charges Q₁ and Q₂ exert a force of F on each other when kept at a certain distance apart. If the charge on each particle is halved and the distance between the 2 particle is doubled the new force between the 2 particles will be

a)

$\frac{F}{2}$

b)

$\frac{F}{4}$

c)

$\frac{F}{16}$

d)

$\frac{F}{8}$

49.

If 2 identical Spears having charge 16μC and -8μC are kept at certain distance apart the force is F. They are touched and again kept at the same distance, the force becomes

a)

2F

b)

$\frac{F}{2}$

c)

$\frac{F}{16}$

d)

$\frac{F}{8}$

50.

Two equally charged identical small balls kept some fixed distance apart exert a repulsive force F on each other. A similar uncharged ball, after touching one of them is placed at the mid-point of line joining the two balls. Force experienced by the third ball is

a)

4F

b)

2F

c)

F

d)

$\frac{F}{2}$

51.

Two charge +6C and +4C are placed at some distance then force between

them is 10N now, -4C charge given to each sphere then force between

them becomes.

a)

0 N

b)

6N

c)

15N

d)

None

52.

2 identical small bodies each of mass m and charge Q suspended from 2 string each of length $l$ from a fixed point. This whole system is taken into an orbiting artificial satellite then find the tension in the strings.

a)

$\frac{kq^2}{l^2}+2mg$

b)

$\frac{kq^2}{l^2}$

c)

$\frac{kq^2}{4l^2}+2mg$

d)

$\frac{kq^2}{4l^2}$

53.

Minimum electrostatic force between 2 charges placed at 1 cm is

a)

2.30 x 10^-20

b)

2.30 x 10^-24

c)

1.60 x 10^-22

d)

1.60 x 10^-24

54.

Two charges each of 1µC are at a distance 1 cm apart in vacuum, the force between them is:

a)

9 × 10³ N

b)

90 N

c)

1.1 × 10^–4 N

d)

10⁴ N

55.

The charges on two sphere are +7µC and –5µC respectively. They experience a force F. If each of them is given additional charge of –2µC, the new force of attraction will be:

a)

F

b)

F/2

c)

F/3

d)

2F

56.

+2C and +6C two charges are repelling each other with a force of 12 N. If each charge is given –2C of charge, then the value of force will be:

a)

4N (Attractive)

b)

4N (Repulsive)

c)

8N (Repulsive)

d)

Zero

57.

A charge q1 exerts some force on a second charge q2. If third charge q3 is brought near, the force q1 exerted on q2 and net force on q2:

a)

decreases, increases

b)

increases, increases

c)

remains unchanged, may increases

d)

remains unchanged, remains unchanged

58.

F_g and F_e represents gravitational and electrostatic force respectively between protons situated at a distance 11µm. The ratio of F_g/F_e is of the order of:

a)

10⁴²

b)

10³⁶

c)

10^–36

d)

10^–43

59.

Three identical charges are placed at the corners of an equilateral triangle. If the force between any two charges is F, then the net force on each will be:

a)

$\sqrt[]{2}\ F$

b)

$\sqrt[]{3}\ F$

c)

$2F$

d)

$3F$

60.

Two small conducting spheres of equal radius have charges +10µC and –20µC respectively and placed at a distance R from each other experience force F1. If they are brought in contact and separated to the same distance, they experience force F2. The ratio of F1 To F2 is:

a)

1 : 8

b)

–8 : 1

c)

1 : 2

d)

–2 : 1

61.

Two positive ions, each carrying a charge q, are separated by a distance d. If F is the force of repulsion between the ions, the number of electrons missing from each ion will be (e being the charge on an electron)

a)

$\frac{4\pi\epsilon_oFd^2}{e^2}$

b)

$\sqrt[]{\frac{4\pi\epsilon_oFd^2}{e^2}}$

c)

$\sqrt[]{\frac{4\pi\epsilon_oFe^2}{d^2}}$

d)

$\frac{4\pi\epsilon_oFe^2}{d^2}$

62.

Force between 2 point charges is F₀ when placed in air keeping distance same their placed in water of dielectric constant (K=9) the net electrostatic force on any one charge they will be

a)

$\frac{F_0}{9}$

b)

$\frac{F_0}{8}$

c)

$\frac{F_0}{3}$

d)

$F_0$

63.

3 identical charges placed on the corner of equilateral triangle then find electrostatic force on one charge due to the other 2 charge.

a)

$\sqrt[]{6}F$

b)

$\sqrt[]{3}F$

c)

$\sqrt[]{2}F$

d)

$F$

64.

4 point charges plus Q placed on the corner of square of side length l then find net electrostatic force on any one charge due to remaining 3 charges.

a)

$\left(\sqrt[]{2}+\frac{1}{2}\right)\ \frac{KQ^2}{l^2}$

b)

$\frac{KQ^2}{2l^2}$

c)

$\left(\sqrt[]{5}+\frac{1}{2}\right)\ \frac{KQ^2}{2l^2}$

d)

None

65.

A particle of mass m and charge -Q1 is moving around a charge +Q2 how long a circular path of radius r. Of period of revolution of the charge -Q1 will be

a)

$\sqrt[]{\frac{4\pi^3\epsilon_0mr^3}{q_1q_2}}$

b)

$\sqrt[]{\frac{8\pi^3\epsilon_0mr^3}{q_1q_2}}$

c)

$\sqrt[]{\frac{16\pi^3\epsilon_0mr^3}{q_1q_2}}$

d)

$-\ \sqrt[]{\frac{4\pi^3\epsilon_0mr^3}{q_1q_2}}$

66.

2 point charges repel each other with a force of 100 N. One of the charges is increased by 10% and other is reduced by 10%. Then new force of repulsion at the same distance would be

a)

99 N

b)

110 N

c)

101 N

d)

121 N

67.

Force between 2 identical spheres charged with same charge is F. If 50% charge of one sphere is transferred to the other sphere than the new force of repulsion will be

a)

$\frac{F}{2}$

b)

$\frac{F}{3}$

c)

$\frac{3F}{4}$

d)

$2F$

68.

Certain charge Q is divided into 2 parts q & Q-q which are then separated by a certain distance. What must q be in terms of Q to maximise the electrostatic repulsion between the 2 charges

a)

$\frac{Q}{4}$

b)

$\frac{Q}{2}$

c)

$\frac{5Q}{4}$

d)

None of these

69.

Electrostatic attraction between 2 point charges is F₀ when they are placed at r. If they are given to the conducting sphere of radius R then electrostatic attraction will be, if distance between the centre of sphere is r (r>R).

a)

F>F₀

b)

F<F₀

c)

F=F₀

d)

zero

70.

a)

1

b)

2

c)

3

d)

4

71.

a)

1

b)

2

c)

3

d)

4

72.

a)

1

b)

2

c)

3

d)

4

73.

a)

1

b)

2

c)

3

d)

4

74.

a)

a₁²:a₂²

b)

a₂²:a₁²

c)

a₁²: 1

d)

a₂²: 1

75.

a)

$\frac{r}{\sqrt[]{4}+1}$

b)

$\frac{r}{\sqrt[]{3}+1}$

c)

$\frac{r}{2\ \sqrt[]{3}+1}$

d)

$\frac{r}{\sqrt[]{2}+1}$

76.

a)

2

b)

1.6

c)

3

d)

3.2

77.

a)

1

b)

0

c)

Not define at certain position

d)

None of the these

78.

a)

20m

b)

5m

c)

25m

d)

30m

79.

a)

$\frac{\text{-nx}}{\left(\sqrt[]{n}+1\right)^2}$

b)

$\frac{\text{nx}}{\left(\sqrt[]{n}+1\right)^2}$

c)

$\frac{\text{-nx}}{\left(\sqrt[]{n}-1\right)^2}$

d)

$\frac{\text{nx}}{\left(\sqrt[]{n}-1\right)^1}$

80.

a)

0

b)

1

c)

not defined

d)

none of these

81.

a)

$-\left(\sqrt[]{2}+\frac{1}{2}\right)\ \frac{Q}{2}$

b)

$\left(\sqrt[]{2}+\frac{3}{2}\right)\ \frac{Q}{2}$

c)

$-\left(\sqrt[]{3}+\frac{1}{3}\right)\ \frac{Q}{2}$

d)

none of these

82.

a)

$\frac{15KQq}{l^2}$

b)

$\frac{10KQq}{l^2}$

c)

$\frac{KQq}{l^2}$

d)

$\frac{20KQq}{l^2}$

83.

a)

1

b)

2

c)

3

d)

4

84.

a)

4

b)

1

c)

2

d)

3

85.

a)

a

b)

b

c)

c

d)

none of these

86.

a)

1

b)

3

c)

2

d)

4

87.

a)

3

b)

4

c)

2

d)

1

88.

a)

2

b)

4

c)

3

d)

1

89.

a)

1

b)

2

c)

3

d)

4

90.

a)

2

b)

1

c)

3

d)

4

91.

a)

1

b)

3

c)

4

d)

2

92.

a)

2

b)

3

c)

4

d)

1

93.

a)

4

b)

1

c)

2

d)

3

94.

a)

2

b)

4

c)

3

d)

1

95.

a)

2

b)

1

c)

4

d)

3

96.

a)

4

b)

3

c)

2

d)

1

97.

a)

3

b)

2

c)

1

d)

4

98.

a)

$\frac{30}{11}$ m

b)

$\frac{15}{22}$ m

c)

$\frac{25}{11}$ m

d)

none of these

99.

a)

20cm

b)

15cm

c)

25cm

d)

10cm

100.

a)

$\frac{10}{3},\ \frac{4Q}{9}$

b)

$\frac{14}{-3},\ \frac{4Q}{10}$

c)

$\frac{10}{4Q},\ \frac{3}{9}$

d)

none of these

101.

a)

4 V/m

b)

2 V/m

c)

0

d)

6 V/m

102.

Find electric field at centre

a)

$\frac{E}{2}$

b)

2E

c)

$\sqrt[]{2}E$

d)

Zero

103.

a)

$\left(\sqrt[]{2}+\frac{1}{2}\right)\ \frac{KQ}{a^2}$

b)

$\left(\sqrt[]{3}+\frac{1}{2}\right)\ \frac{KQ}{a^2}$

c)

$\left(\sqrt[]{2}+\frac{1}{3}\right)\ \frac{KQ}{a^2}$

d)

none of these

104.

a)

$\frac{\sqrt[]{2}\ KQ}{a^2}$

b)

$\frac{2\ \sqrt[]{3}\ KQ}{a^2}$

c)

$\frac{\sqrt[]{3}\ KQ}{a^2}$

d)

none of these

105.

Field at Centre

a)

$\frac{a}{\sqrt[]{3}}$

b)

$\sqrt[]{2}\ a$

c)

$\frac{a}{\sqrt[]{2}}$

d)

$\sqrt[]{3}\ a$

106.

a)

$\frac{2\ \sqrt[]{2}\ K}{100}$

b)

$\frac{4\ \sqrt[]{2}\ K}{100}$

c)

$\frac{4\ \sqrt[]{2}\ K}{50}$

d)

$\frac{2\sqrt[]{2}\ K}{50}\$

107.

a)

$\frac{\sqrt[]{3}}{2}\ E$

b)

$\sqrt[]{2}\ E$

c)

$\sqrt[]{3}\ E$

d)

E

108.

Find electric field at the center of the hexagon

a)

E

b)

$\sqrt[]{2}\ E$

c)

Zero

d)

$\sqrt[]{3}\ E$

109.

a)

15m

b)

20m

c)

25m

d)

10m

110.

a)

a

b)

b

c)

c

d)

d

111.

a)

$\frac{-2kq}{3}$

b)

$\frac{-3kq}{5}$

c)

$\frac{-2kq}{5}$

d)

$\frac{-4kq}{3}$

112.

a)

2cm

b)

4cm

c)

8cm

d)

6cm

113.

a)

a

b)

b

c)

c

d)

d

114.

a)

24cm

b)

20cm

c)

16cm

d)

4cm

115.

a)

a

b)

b

c)

c

d)

d

116.

a)

$\frac{2KQa}{\left(a^2+r^2\right)^{\frac{3}{2}}}$

b)

$\frac{KQr}{\left(a^2+r^2\right)^{\frac{3}{2}}}$

c)

$\frac{2KQr}{\left(a^2+r^2\right)^{\frac{3}{2}}}$

d)

$\frac{2KQr}{\left(a^2+r^2\right)^{\frac{1}{2}}}$

117.

a)

a

b)

b

c)

c

d)

d

118.

a)

1

b)

2

c)

3

d)

4

119.

a)

1

b)

2

c)

3

d)

4

120.

a)

1

b)

2

c)

3

d)

4

121.

a)

1

b)

2

c)

3

d)

4

122.

a)

1

b)

2

c)

3

d)

4

123.

a)

1

b)

2

c)

3

d)

4

124.

a)

1

b)

2

c)

3

d)

4

125.

a)

1

b)

2

c)

3

d)

4

126.

a)

$\frac{KQ}{l^2}$

b)

$\frac{KQ}{2\ l^2}$

c)

$\frac{2KQ}{l^2}$

d)

$\frac{KQ}{2\ l^{ }}$

127.

Find electric field at centre of same charge Q is placed at 4 corners of the Pentagon

a)

$\frac{2KQ}{l^2}$

b)

$\frac{KQ}{l^2}$

c)

$\frac{\ 2KQ}{l^2}$

d)

$\frac{KQ}{l^{ }}$

128.

A cube of side b has charge Q at 7 of its vertices whose side length is l. The electric field due to this charge distribution at the centre of this cube will be :

a)

$\frac{4KQ}{3l^{ }}$

b)

$\frac{2KQ}{3l^2}$

c)

$\frac{4KQ}{3l^2}$

d)

none of these

129.

Find position of X so that electric field will be Max at the axis of the ring (let R be the radius of the ring).

a)

$\frac{R}{2}$

b)

$\frac{R}{\sqrt[]{2}}$

c)

$\frac{R}{\sqrt[]{3}}$

d)

$\frac{2R}{\sqrt[]{2}}$

130.

a)

a

b)

b

c)

c

d)

d

131.

Which of the following is correct regarding the given statement :

a)

The statement is correct

b)

The statement is incorrect

c)

Can't say

d)

None of these

132.

a)

$\frac{-5}{2}$

b)

$\frac{5}{2}$

c)

$\frac{-2}{5}$

d)

$\frac{-5}{-4}$

133.

a)

a

b)

b

c)

c

d)

d

134.

a)

a

b)

b

c)

c

d)

d

135.

a)

a

b)

b

c)

c

d)

d

136.

a)

a

b)

b

c)

c

d)

d

137.

a)

a

b)

b

c)

c

d)

d

138.

a)

a

b)

b

c)

c

d)

d

139.

a)

a

b)

b

c)

c

d)

d

140.

a)

a

b)

b

c)

c

d)

d

141.

a)

1

b)

2

c)

3

d)

4

142.

A -q charge particle placed at x (x>>>R) and released then time period of oscillation will be:

a)

$2\pi\ \sqrt[]{\frac{mR^3}{KQq}}$

b)

$\pi\ \sqrt[]{\frac{2mR^3}{KQq}}$

c)

$2\pi\ \sqrt[]{\frac{mR^2}{KQq}}$

d)

$2\pi\ \sqrt[]{\frac{mR^3}{KQ}}$

143.

Two equal negative charges -q are fixed at point (0, a) and (0, -a) on the y-axis. A positive charge Q is related from rest at a point (2a, 0) on the x-axis. The charge Q will

a)

execute simple harmonic motion about the origin

b)

move to the origin and remain at rest there

c)

move to infinity

d)

execute oscillatory but not simple harmonic motion

144.

A uniform charge ring of linear charge density $\lambda$ . If very small dl length is cut as shown in the figure. Then find net Electric field at the centre of the ring

a)

Zero

b)

$\frac{K\lambda dl}{R^2}$

c)

$\frac{K\lambda R^2}{dl^2}$

d)

$\frac{\lambda dl}{R^2}$

145.

Electric field due to half ring of uniform linear charge density $\lambda=\frac{Q}{\pi\ r}$ then find field at O

a)

$\frac{KQ}{\pi r^2}$

b)

$\frac{KQ}{r^2}$

c)

$\frac{2KQ}{r^2}$

d)

$\frac{2KQ}{\pi r^2}$

146.

a)

a

b)

b

c)

c

d)

d

147.

a)

$\frac{\sqrt[]{2}k\lambda}{R}$

b)

$\frac{\sqrt[]{2}k\lambda}{R^2}$

c)

$\frac{\sqrt[]{4}k\lambda}{R^{ }}$

d)

none of these

148.

Find electric field at the center.(Lamda is the charge density)

a)

3

b)

4

c)

1

d)

Zero

149.

Find letter field at the centre.(Lamda is the charge density)

a)

$\frac{K\lambda}{\pi\epsilon_{\degree}R}$

b)

$\frac{2K\lambda}{\pi\epsilon_{\degree}R}$

c)

$\frac{\lambda}{\pi\epsilon_{\degree}R}$

d)

None of these

150.

Find electric field at centre.(Lamda is the charge density)

a)

0

b)

2

c)

1

d)

3

151.

Find electric field at the centre.(Lamda is the charge value).

a)

$\frac{2\sqrt[]{2}k\lambda}{2}$

b)

$\frac{\sqrt[]{2}k\lambda}{2}$

c)

$\frac{2\sqrt[]{4}k\lambda}{2}$

d)

$\frac{\sqrt[]{2}k\lambda}{4}$

152.

a)

a

b)

b

c)

c

d)

d

153.

a)

$\frac{2\sqrt[]{2}k\lambda}{R}$

b)

$\frac{\sqrt[]{2}k\lambda}{R}$

c)

$\frac{\sqrt[]{2}k\lambda}{2R}$

d)

$\frac{\sqrt[]{4}k\lambda}{R}$

154.

a)

a

b)

b

c)

c

d)

d

155.

a)

a

b)

b

c)

c

d)

d

156.

a)

a

b)

b

c)

c

d)

d

157.

a)

a

b)

b

c)

c

d)

d

158.

a)

a

b)

b

c)

c

d)

d

159.

a)

a

b)

b

c)

c

d)

d

160.

a)

a

b)

b

c)

c

d)

d

161.

a)

a

b)

b

c)

c

d)

d

162.

a)

a

b)

b

c)

c

d)

d

163.

a)

a

b)

b

c)

c

d)

d

164.

a)

1:1

b)

1:2

c)

2:1

d)

1:4

165.

a)

1:2

b)

1:4

c)

1:1

d)

2:1

166.

a)

a

b)

b

c)

c

d)

None

167.

a)

$\sqrt[]{2}QA$

b)

$\sqrt[]{3}QA$

c)

$2\sqrt[]{2}QA$

d)

$\sqrt[]{3}QA$

168.

a)

a

b)

b

c)

c

d)

d

169.

a)

1

b)

2

c)

3

d)

4

170.

a)

1

b)

2

c)

3

d)

4

171.

a)

1

b)

2

c)

3

d)

4

172.

a)

1

b)

2

c)

3

d)

4

173.

a)

1

b)

2

c)

3

d)

4

174.

a)

1

b)

2

c)

3

d)

4

175.

a)

1

b)

2

c)

3

d)

4

176.

a)

1

b)

2

c)

3

d)

4

177.

a)

1

b)

2

c)

3

d)

4

178.

a)

1

b)

2

c)

3

d)

4

MR* Ques

Total questions: 178

Worksheet time: 1hrs 29mins

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