MCQ
A Solid sphare of radius $R$ has a charge $Q$ distributed in its Volume with a charge density $P=K r^a$ Where $K$ and a are constants and $r$ is the distance from its centre from its centre. if the electric filed at $r=\frac{R}{2}$ is $\frac{1}{8}$ times that at $r=R$, the value of $a$ is.
  • A
    $3$
  • B
    $5$
  • $2$
  • D
    $7$

Answer

Correct option: C.
$2$

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

For a transistor, the current amplification factor is $0.8.$ The transistor is connected in common emitter configuration. The change in the collector current when the base current changes by $6\, mA$ is .....$mA$
In the circuit shown in figure potential difference between points A and $B$ is $16\,V$. the current passing through $2 \Omega$ resistance will be $...........\,A$
This question has Statement $1$ and Statement $2.$ Of the four choices given after the Statements, choose the one that best describes the two Statements.

Statement $1 :$ The possibility of an electric bulb fusing is higher at the time of switching $ON.$

Statement $2:$ Resistance of an electric bulb when it is not lit up is much smaller than when it is lit up.

With the increase in principle quantum number, the energy difference between the two successive energy levels
In double slits experiment, for light of which colour the fringe width will be minimum
The minimum charge on an object is
A potentiometer circuit shown in the figure is set up to measure e.m.f. of a cell E. As the point P moves from X to Y the galvanometer G shows deflection always in one direction, but the deflection decreases continuously until Y is reached. In order to obtain balance point between X and Y it is necessary to
The radiant energy of the sun results from:
Choose the correct statement:
For the plane electromagnetic wave given by $\mathrm{E}=\mathrm{E}_0 \sin (\omega \mathrm{t}-\mathrm{kx})$ and $\mathrm{B}=\mathrm{B}_0 \sin (\omega \mathrm{t}-\mathrm{kx})$, the ratio of average electric energy density to average magnetic energy density is