Two spherical, nonconducting, and very thin shells of uniformly d… - Vidyadip

Question

Two spherical, nonconducting, and very thin shells of uniformly distributed positive charge $Q$ and radius d are located a distance $10d$ from each other. A positive point charge $q$ is placed inside one of the shells at a distance $d/2$ from the center, on the line connecting the centers of the two shells, as shown in the figure. What is the net force on the charge $q $ ?

✓

Answer

Electric force on charge $q$ due to sphre $A$ is zero.

But electric force due to sphere $B$ on charge $q$ is

$\mathrm{F}=\frac{9 Q}{4 \pi \varepsilon_{0}\left(\frac{19}{2} \mathrm{d}\right)^{2}}$ towards left

$=\frac{\mathrm{qQ}}{361 \pi \varepsilon_{0} \mathrm{d}^{2}}$ towards left

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

NEET STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

Four point charges, each of $+ q$, are rigidly fixed at the four corners of a square planar soap film of side ' $a$ ' The surface tension of the soap film is $\gamma$. The system of charges and planar film are in equilibrium, and $a=k\left[\frac{q^2}{\gamma}\right]^{1 / N}$, where ' $k$ ' is a constant. Then $N$ is

Find the velocity of image with respect to mirror.

The frequency of revolution of electron in $n^{th}$ Bohr orbit is $v_n$. The graph between $log \,n$ and $log (v_n / v_1)$ may be

A heater coil is cut into two equal parts and only one part is now used in the heater. The heat generated will now be

In an experiment to determine the acceleration due to gravity $g$, the formula used for the time period of a periodic motion is $T=2 \pi \sqrt{\frac{7(R-r)}{5 g}}$. The values of $R$ and $r$ are measured to be $(60 \pm 1) \mathrm{mm}$ and $(10 \pm 1) \mathrm{mm}$, respectively. In five successive measurements, the time period is found to be $0.52 \mathrm{~s}, 0.56 \mathrm{~s}, 0.57 \mathrm{~s}, 0.54 \mathrm{~s}$ and $0.59 \mathrm{~s}$. The least count of the watch used for the measurement of time period is $0.01 \mathrm{~s}$. Which of the following statement($s$) is(are) true?

($A$) The error in the measurement of $r$ is $10 \%$

($B$) The error in the measurement of $T$ is $3.57 \%$

($C$) The error in the measurement of $T$ is $2 \%$

($D$) The error in the determined value of $g$ is $11 \%$

Water containing air bubbles flows without turbulence through a horizontal pipe which has a region of narrow cross-section. In this region, the bubbles

de-Broglie wavelength of a body of mass m and kinetic energy $E$ is given by

The oscillating magnetic field in a plane electromagnetic wave is given by $B _{ y }=5 \times 10^{-6} \sin$ $1000\,\pi\left(5 x -4 \times 10^{8} t \right) T$. The amplitude of electric field will be.

A disc having velocity $v_0$ and angular speed ${\omega _0}$ in anticlockwise direction kept on the rough plank. Initially plank is at rest. (assuming length of plank is very large) Choose $INCORRECT$ option

A parallel plate capacitor with area $200\,cm^2$ and separation between the plates $1.5\,cm$, is connected across a battery of $emf$ $V$. If the force of attraction between the plates is $25\times10^{-6}\,N$, the value of $V$ is approximately........$V$ $\left( {{\varepsilon _0} = 8.85 \times {{10}^{ - 12}}\,\frac{{{C^2}}}{{N{m^2}}}} \right)$