Question
The capacity of a spherical conductor in $ MKS$ system is
✓
Answer
(c) The potential is given as, $V=\frac{q}{4 \pi \varepsilon_{0} R}$
The capacitance is given as, $C=\frac{q}{V}$
$=\frac{q}{\frac{q}{4 \pi \varepsilon_{0} R}}$
$=4 \pi \varepsilon_{0} R$
Thus, the capacity of a spherical conductor is $4 \pi \varepsilon_{0} R$
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 block having mass $m$ collides with an another stationary block having mass $2\,m$. The lighter block comes to rest after collision. If the velocity of first block is $v$, then the value of coefficient of restitution will must be
→A planet moving along an elliptical orbit is closest to the sun at a distance $r_1$ and farthest away at a distance of $r_2$. If $v_1$ and $v_2$ are the linear velocities at these points respectively, then the ratio $\frac{v_1}{v_2}$ is
→The relationship between Young's modulus $Y,$ Bulk modulus $K$ and modulus of rigidity $\eta $ is
→The decreasing order of wavelength of infrared, microwave, ultraviolet and gamma rays is
A narrow tube is bent in the form of a circle of radius $R,$ as shown in the figure. Two small holes $S$ and $D$ are made in the tube at the positions right angle to each other. A source placed at $S$ generated a wave of intensity $I_0$ which is equally divided into two parts : One part travels along the longer path, while the other travels along the shorter path. Both the part waves meet at the point $D$ where a detector is placed The maximum value of $\lambda$ to produce a minima at $D$ is given by
→A shell of mass $M$ and radius $R$ has a point mass m placed at a distance $r$ from its centre. The gravitational potential energy $U \,(r)$ vs $r$ will be
→ An empty thick conducting shell of inner radius $a$ and outer radius $b$ is shown in figure.If it is observed that the inner face of the shell carries a uniform charge density $-\sigma$ and the surface carries a uniform charge density $ '\sigma '$
→If the inner surface of the shell is earthed, then identify the correct statement(s)
As the temperature increases, the electrical resistance
Five moles of helium are mixed with two moles of hydrogen to form a mixture. Take molar mass of helium $M_1=4\ g$ and that of hydrogen $M_2=2\ g$ The equivalent degree of freedom $f$ of the mixture is
→If the distance of the far point for a myopia patient is doubled, the focal length of the lens required to cure it will become