MCQ
In a hollow spherical shell potential $(V)$ changes with respect to distance $(r)$ from centre
- A
- ✓
- C
- D
✓
Answer
Correct option: B.
b
(b) ${V_{inside}} = \frac{Q}{{4\pi {\varepsilon _0}R}}$ for $r \le R$ ....$(i)$
and ${V_{out}} = \frac{Q}{{4\pi {\varepsilon _0}r}}$ for $r \ge R$ ....$(ii)$
i.e. potential inside the hollow spherical shell is constant and outside varies according to $V \propto \frac{1}{r}$.
(b) ${V_{inside}} = \frac{Q}{{4\pi {\varepsilon _0}R}}$ for $r \le R$ ....$(i)$
and ${V_{out}} = \frac{Q}{{4\pi {\varepsilon _0}r}}$ for $r \ge R$ ....$(ii)$
i.e. potential inside the hollow spherical shell is constant and outside varies according to $V \propto \frac{1}{r}$.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
A $p-n$ junction $(D)$ shown in the figure can act as a rectifier. An alternating current source $(V)$ is connected in the circuit. The current $(I)$ in the resistor $(R)$ can be shown by
→When a light source of power $P$ emitting monochromatic light of wavelength $\lambda$ is kept at a distance $r$ from a photosensitive surface of work function $\phi$ and surface area $A$, we will have wrong option :-
→An electric field due to a positively charged long straight wire at a distance $r$ from it is proportional to $r^{-1}$ in magnitude. Two electrons are orbiting such a long straight wire in circular orbits of radii $1 A$ and $2 A$. The ratio of their respective time periods is
→What is the torque exerted by a bar magnet on itself due to its field?
Two metal spheres of radii ${R_1}$ and ${R_2}$ are charged to the same potential. The ratio of charges on the spheres is
→Sinusoidal carrier voltage of frequency $1.5 MHz$ and amplitude $50 \ V$ is amplitude modulated by sinusoidal voltage of frequency $10 kHz$ producing $50 \%$ modulation. The lower and upper side-band frequencies in kHz are
→An inductor of inductance $L$, a capacitor of capacitance $\mathrm{C}$ and a resistor of resistance $'\mathrm{R}'$ are connected in series to an ac source of potential difference $'\mathrm{V}'$ volts as shown in figure.
→Potential difference across $\mathrm{L}, \mathrm{C}$ and $\mathrm{R}$ is $40\, \mathrm{~V}$, $10\, \mathrm{~V}$ and $40\, \mathrm{~V}$, respectively. The amplitude of current flowing through $LCR$ series circuit is $10 \sqrt{2}\, \mathrm{~A} .$ The impedance of the circuit is .......... $\Omega$
A coil with $100$ turns has an inductance of $0.05H$ and $0.02A$ current is passed through it. Flux linked with the coil is
→A student studying the similarities and differences between a camera and the human eye makes the following observations:
→$I$. Both the eye and the camera have convex lenses.
$II$. In order to focus, the eye lens expands or contracts while the camera lens moves forward or backward.
$III$. The camera lens produces upside down real images while the eye lens produces only upright real images.
$IV$. A screen in camera is equivalent to the retina in the eyes.
$V$. A camera adjusts the amount of light entering in it by adjusting the aperture of the lens. In the eye, the cornea controls the amount of light. Which of the above statements are correct?
Length of a hollow tube is $5\,m$, it’s outer diameter is $10\, cm$ and thickness of it’s wall is $5\, mm$. If resistivity of the material of the tube is $1.7 \times 10^{-8} \,\Omega m$ then resistance of tube will be
→