Electrostatics MCQs for NEET — Physics Questions with Answers

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An oil drop having charge 2e is kept stationary between two parallel horizontal plates 2.0 cm apart when a potential difference of 12000 volts is applied between them. If the density of oil is 900 kg/m3, the radius of the drop will be -

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Explanation

In equilibrium QE = mgQ.Vd=mg=43πr3ρg

2×1.6×1019×120002×102=43πr3×900×10

r = 1.7 × 10–6 m

The ratio of momenta of an electron and an α-particle which are accelerated from rest by a potential difference of 100 volt is 

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Explanation

Momentum p=2mK; where K = kinetic energy = Q.V

p=2mQVpmQ

pepα=meQemαQα=me2mα

When a proton is accelerated through 1V, then its kinetic energy will be -

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Explanation

ΔKE=qV=eV=e×1=1eV  

Ten electrons are equally spaced and fixed around a circle of radius R. Relative to V = 0 at infinity, the electrostatic potential V and the electric field E at the centre C are 

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Explanation

At centre E = 0, V ≠ 0 because the electric field is a vector quantity but the electric potential is not a vector quantity.

The displacement of a charge Q in the electric field E=e1i^+e2j^+e3k^ is r^=ai^+bj^. The work done is 

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Explanation

By using W=Q(E.Δr)

W=Q[(e1i^+e2j^+e3k^).(ai^+bj^)]=Q(e1a+e2b)

A cube of a metal is given a positive charge Q. For the above system, which of the following statements is true 

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Explanation

Electric lines of force are always normal to metallic body.

Electric potential at any point is V=5x+3y+15z, then the magnitude of the electric field is

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Explanation

Ex=dVdx=(5)=5; Ey=dVdy=3

and Ez=dVdz=15

Enet=Ex2+Ey2+Ez2=(5)2+(3)2+(15)2=7 

Kinetic energy of an electron accelerated in a potential difference of 100 V is 

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Explanation

By using KE = QVKE = 1.6 × 10–19 × 100

= 1.6 × 10–17 J

If identical charges (–q) are placed at each corner of a cube of side b, then electric potential energy of charge (+q) which is placed at centre of the cube will be -

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Explanation

Length of the diagonal of a cube having each side b is 3b. So distance of centre of cube from each vertex is 3b2.

Hence potential energy of the given system of charge is

U=8×14πε0.(q)(q)3b/2=4q23πε0b 

A proton is about 1840 times heavier than an electron. When it is accelerated by a potential difference of 1 kV, its kinetic energy will be -

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Explanation

KE = QV = e × 103 V = 1KeV.

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