An electron of mass me initially at rest moves through a certain distance in a uniform electric field in time t1. A proton of mass mp also initially at rest takes time t2 to move through an equal distance in this uniform electric field. Neglecting the effect of gravity, the ratio of t2/ t1 is nearly equal to

(1) 1

(2) ${\left({m}_{p}/{m}_{e}\right)}^{1/2}$

(3) ${\left({m}_{e}/{m}_{p}\right)}^{1/2}$

(4) 1836

Concept Questions :-

Electric field
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Point charges +4q, –q and +4q are kept on the x-axis at points x = 0, x = a and x = 2a respectively, then

(1) Only -q is in stable equilibrium

(2) None of the charges are in equilibrium

(3) All the charges are in unstable equilibrium

(4) All the charges are in stable equilibrium

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Coulomb's law
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Three identical point charges, as shown are placed at the vertices of an isosceles right angled triangle. Which of the numbered vectors coincides in direction with the electric field at the mid-point M of the hypotenuse

(1) 1

(2) 2

(3) 3

(4) 4

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Figures below show regular hexagons, with charges at the vertices. In which of the following cases the electric field at the centre is not zero?

(1) 1

(2) 2

(3) 3

(4) 4

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Electric field
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An electron enters an electric field with its velocity in the direction of the electric lines of force. Then

(1) The path of the electron will be a circle

(2) The path of the electron will be a parabola

(3) The velocity of the electron will decrease

(4) The velocity of the electron will increase

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Electric field
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The dimension of (1/2) : permittivity of free space; E: electric field) is

(1) MLT–1

(2) ML2L–2

(3) ML–1T–2

(4) ML2T–1

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Electric field
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Two small spherical balls each carrying a charge Q = 10 μC (10 micro-coulomb) are suspended by two insulating threads of equal lengths 1m each, from a point fixed in the ceiling. It is found that in equilibrium threads are separated by an angle 60° between them, as shown in the figure. What is the tension in the threads (Given: $\frac{1}{\left(4\pi {\epsilon }_{0}\right)}=9×{10}^{9}Nm/{C}^{2}$)

(1) 18 N

(2) 1.8 N

(3) 0.18 N

(4) None of the above

Concept Questions :-

Coulomb's law
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An electron having charge ‘e’ and mass ‘m’ is moving in a uniform electric field E. Its acceleration will be

(1) $\frac{{e}^{2}}{m}$

(2) $\frac{{E}^{2}e}{m}$

(3) $\frac{eE}{m}$

(4) $\frac{mE}{e}$

Concept Questions :-

Electric field
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A table tennis ball that has been covered with conducting paint is suspended by a silk thread so that it hangs between two plates, out of which one is earthed and other is connected to a high voltage generator. This ball

(1) Is attracted towards high voltage plate and stays there

(2) Hangs without moving

(3) Swing backward and forward hitting each plate in turn

(4) Is attracted to the earthed plate and stays there

Concept Questions :-

Ways of charging
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If an insulated non-conducting sphere of radius R has charge density ρ. The electric field at a distance r from the centre of sphere (r < R) will be

(1) $\frac{\rho \text{\hspace{0.17em}}R}{3{\epsilon }_{0}}$

(2) $\frac{\rho \text{\hspace{0.17em}}r}{{\epsilon }_{0}}$

(3) $\frac{\rho \text{\hspace{0.17em}}r}{3{\epsilon }_{0}}$

(4) $\frac{3\rho \text{\hspace{0.17em}}R}{{\epsilon }_{0}}$

Concept Questions :-

Electric field