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JEE PHYSICS MCQ: ELECTRIC POTENTIAL AND CAPACITANCE

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Application +4 | -1

A positive point charge

+\mathrm{q}

is placed at the origin. There is an electric field

E_{(x)}=E_0\left(2 \frac{x}{d}+3 \frac{x^2}{d^2}\right)

, that accelerates the point charge along the

\mathrm{x}

-axis. The kinetic energy of the charge when it reaches the position

\mathrm{x}=2 \mathrm{~d}

X q d E_0

then find the value of

X

View answer and explanation

Correct option: A

Option A (12) is correct because it is derived from integrating the electric field to find the potential difference and then calculating the kinetic energy.

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The potential at a point distance

x

(measured in

\mu \mathrm{m}

) due to some charges situated on the

x

axis is given by

V(x)=\frac{20}{x^2-5} \mathrm{V}

. The electric field at

x=5 \mu \mathrm{m}

is given by: A parallel plate capacitor is connected to a 5V battery and charged. The battery is then disconnected and a glass slab is introduced between the plates. Then, the quantities that decrease are A conducting sphere of radius

R

is given a charge

Q

. The electric potential and the electric field at the centre of the sphere respectively are Two capacitors when connected in series have a capacitance of

3\mu F,\,

and when connected in parallel have a capacitance of

16\mu F

. Their individual capacities are Statement-1: If temperature is increased, the dielectric constant of a polar dielectric decreases whereas that of a non-polar dielectric does not change significantly.
Statement-2: The magniude of dipole moment of individual polar molecule decreases significantly with increase in temperature. An electric dipole when placed in a uniform electric field

E

will have minimum potential energy, if the positive direction of dipole moment makes the following angle with

E