Charges Q, 2Q and 4Q are uniformly distributed in three dielectri… - Vidyadip

MCQ

Charges $Q, 2Q$ and $4Q$ are uniformly distributed in three dielectric solid spheres $1,2$ and $3$ of radii $R/2, R$ and $2 R$ respectively, as shown in figure. If magnitudes of the electric fields at point $P$ at a distance $R$ from the centre of spheres $1,2$ and $3$ are $E_1 E_2$ and $E_3$ respectively, then

A
$E_1 > E_2 > E_3$
B
$E_3 > E_1 > E_2$
✓
$E_2 > E_1 > E_3$
D
$E_3 > E_2 > E_1$

✓

Answer

Correct option: C.

$E_2 > E_1 > E_3$

c
$E_1=\frac{K Q}{R^2}$

$E_2=\frac{k(2 Q)}{R^2} \quad \Rightarrow \quad E_2=\frac{2 k Q}{R^2}$

$E_3=\frac{k(4 Q) R}{(2 R)^3} \quad \Rightarrow \quad E_3=\frac{k Q}{2 R^2}$

$E_3 < E_1 < E_2$

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

Explore more

More "M.C.Q (1 Marks)" from 1. Electric charges and fields→1. Electric charges and fields — all question types→Physics STD 12 Science question papers→CBSE Board STD 12 Science question papers→CBSE Board question paper generator→

Similar questions

Two positive ions, each carrying a charge $q,$ are separated by a distance $d.$ If $F$ is the force of repulsion between the ions, the number of electrons missing from each ion will be ($e$ being the charge on an electron)

A varying current at the rate of $3 \,A/s$ in a coil generates an $e.m.f.$ of $8\, mV$ in a nearby coil. The mutual inductance of the two coils is

Assertion : A metal piece and a non-metal (stone) piece are dropped from the same height near earth’s surface. Both will reach the earth’s surface simultaneously.
Reason : There is no effect of earth’s magnetic field on freely falling body.

Assertion : Diffraction takes place for all types of waves mechanical or non-mechanical, transverse or longitudinal.

Reason : Diffraction's effect are perceptible only if wavelength of wave is comparable to dimensions of diffracting device.

An electric dipole of moment $\vec p$ is lying along a uniform electric field $\vec E.$ The work done in rotating the dipole by $90^o $ is

In electromagnetic induction, the induced charge in a coil is independent of

If the shift of wavelength of light emitted by a star is towards violet, then this shows that star is

The field due to a magnet at a distance $ R$ from the centre of the magnet is proportional to

A radioactive nucleus is being produced at a constant rate $\alpha$ per second. Its decay constant is $\lambda $. If $N_0$ are the number of nuclei at time $t = 0$, then maximum number of nuclei possible are

In which of the following ionic bond is present