Question
A uniformly charged thin spherical shell of radius $\mathrm{R}$ carries uniform surface charge density of $\sigma$ per unit area. It is made of two hemispherical shells, held together by pressing them with force $\mathrm{F}$ (see figure). $\mathrm{F}$ is proportional to

Answer

Pressure $=\frac{\sigma^2}{2 \varepsilon_0}$ and force $=\frac{\sigma^2}{2 \varepsilon_0} \times \pi \mathrm{R}^2$

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

Similar questions

If the ionisation potential of helium atom is $24.6\, volt,$ the energy required to ionise it will be
A bus is moving with a velocity of $5 m/s$ towards a huge wall. the driver sounds a horn of frequency $165 Hz.$ If the speed of sound in air is $355 m/s,$ the number of beats heard per second by a passenger on the bus will be
In a Millikan's oil drop experiment the charge on an oil drop is calculated to be $6.35 \times {10^{ - 19}}C$. The number of excess electrons on the drop is
A thin semicircular conducting ring of radius $R$ is falling with its plane vertical in a horizontal magnetic induction $B$. At the position $MNQ$, the speed of the ring is $V$ and the potential difference developed across the ring is
A flat plate of area $0.1 \,m ^2$ is placed on a flat surface and is separated from it by a film of oil $10^{-5} \,m$ thick whose coefficient of viscosity is $1.5 N \,sm s ^{-2}$. The force required to cause the plate to slide on the surface at constant speed of $1 \,mm s ^{-1}$ is ............ $N$
A capacitor of capacitance $C$ is charged to potential difference $V_0$. Now this capacitor is connected to an ideal inductor. When $25\%$ of energy of capacitor is transferred to inductor then at that time what will be potential difference across capacitor
A particle is moving with velocity $\overrightarrow{ v }=\hat{ i }+3 \hat{ j }$ and it produces an electric field at a point given by $\overrightarrow{ E }=2 \hat{ k }$. It will produce magnetic field at that point equal to (all quantities are in SI units) 
The resultant amplitude due to superposition of two waves $y_1 = 5\,\,sin (wt - kx)$ and $y_2 = -5 \,\,cos (wt - kx - 150^o)$
In given circuit, switch is in position $a$ , for what value of $R$ will the circuit have a time constant of $10\,\mu s$.......$K\Omega $
An optical bench has $1.5 m$ long scale having four equal divisions in each $cm$. While measuring the focal length of a convex lens, the lens is kept at $75 cm$ mark of the scale and the object pin is kept at $45 cm$ mark. The image of the object pin on the other side of the lens overlaps with image pin that is kept at $135 cm$ mark. In this experiment, the percentage error in the measurement of the focal length of the lens is. . . . .