For the situation shown in the figure below, mark out the correct… - Vidyadip

MCQ

For the situation shown in the figure below, mark out the correct statement

A
Potential of the conductor is $\frac{{ - q}}{{4\pi {\varepsilon _0}\left( {d + R} \right)}}$
B
Potential of the conductor is $\frac{q}{{4\pi {\varepsilon _0}d}}$
C
Potential of the conductor can’t be determined as nature of distribution of induced charges is not known
✓
Potential at point $B$ due to induced charges is $\frac{{ - qR}}{{4\pi {\varepsilon _0}\left( {d + R} \right)d}}$

✓

Answer

Correct option: D.

Potential at point $B$ due to induced charges is $\frac{{ - qR}}{{4\pi {\varepsilon _0}\left( {d + R} \right)d}}$

d
Potential at surface $=$ Potential at centre

$\mathrm{V}_{\mathrm{+q}}+\mathrm{V}_{\mathrm{ind}}=\mathrm{V}_{\mathrm{c}}$

$\mathrm{V}_{\mathrm{ind}}=\frac{\mathrm{Kq}}{(\mathrm{R}+\mathrm{d})}-\frac{\mathrm{Kq}}{\mathrm{d}}=\frac{-\mathrm{qR}}{4 \pi \varepsilon_{0}(\mathrm{d}+\mathrm{R}) \mathrm{d}}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from 2. Electric potential and capacitance→2. Electric potential and capacitance — all question types→Physics STD 12 Science question papers→CBSE Board STD 12 Science question papers→CBSE Board question paper generator→

Similar questions

Which of the following can be used in cancer treatment?

A double star is a system of two stars rotating about their centre of mass only under their mutual gravitational attraction. Let the star have mass m and 2m and their separation be l. Their time period of rotation about their centre of mass will be proportional to

In a series $RLC$ circuit, the $r.m.s.$ voltage across the resistor and the inductor are respectively $400 \,V$ and $700 \,V$. If the equation for the applied voltage is $\varepsilon=500 \sqrt{2} \sin \omega t$, then the peak voltage across the capacitor is ........... $V$

Assertion : If the current in a solenoid is reversed in direction while keeping the same magnitude, the magnetic field energy stored in the solenoid decreases.

Reason : Magnetic field energy density is proportional to square of current.

In a Young’s double slit experiment, 12 fringes are observed to be formed in a certain segment of the screen when light of wavelength 600 nm is used. If the wavelength of light is changed to 400 nm, number of fringes observed in the same segment of the screen is given by

A circular coil has moment of inertia $0.8 \,kg m ^{2}$ around any diameter and is carrying current to roduce a magnetic moment of $20\, Am ^{2}$. The coil is kept initially in a vertical position and it can rotate freely around a horizontal diameter. When a uniform magnetic field of $4\, T$ is applied along the vertical, it starts rotating around its horizontal diameter. The angular speed the coil acquires after rotating by $60^{\circ}$ will be

After absorbing a slowly moving neutron of mass $m _{ N }$ (momentum-$0$) a nucleus of mass $M$ breaks into two nuclei of masses $m _{1}$ and $5 m _{1}\left(6 m _{1}= M + m _{ N }\right)$ respectively. If the de-Broglie wavelength of the nucleus with mass $m_{1}$ is $\lambda$, then de-Broglie wavelength of the other nucleus will be

If $\lambda_1$ and $\lambda_2$ are the wavelengths of characteristic X-rays and gamma rays respectively, then the relation between them is

When electron remains between orbits, its momentum is:

Two parallel long current carrying wire separated by a distance $2 \mathrm{r}$ are shown in the figure. The ratio of magnetic field at $\mathrm{A}$ to the magnetic field produced at $C$ is $\frac{x}{7}$. The value of $x$ is $\qquad$