If scattering particles are 56 for 90^ angle then this will be at… - Vidyadip

MCQ

If scattering particles are $56$ for $90^{\circ}$ angle then this will be at $60^{\circ}$ angle

✓
$224$
B
$256$
C
$98$
D
$108$

✓

Answer

Correct option: A.

$224$

According to scattering formula
$ N \propto \frac{1}{\sin ^4(\theta / 2)} \Rightarrow \frac{N_2}{N_1}=\left[\frac{\sin \left(\theta_1 / 2\right)}{\sin \left(\theta_2 / 2\right)}\right]^4$
$\Rightarrow \frac{N_2}{N_1}=\left[\frac{\sin \frac{90^{\circ}}{2}}{\sin \frac{60^{\circ}}{2}}\right]^4=\left[\frac{\sin 45^{\circ}}{\sin 30^{\circ}}\right]^4 $
$\Rightarrow N_2=(\sqrt{2})^4 \times N_1=4 \times 56=224$

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 "MCQ" from Atomic and Nuclear Physics→Atomic and Nuclear Physics — all question types→JEE physics STD 12 Science question papers→CBSE Board STD 12 Science question papers→CBSE Board question paper generator→

Similar questions

It is known that wax contracts on solidification. If molten wax is taken in a large vessel and it is allowed to cool slowly, then

Planck's constant has the dimensions (unit) of

In order to make the effective acceleration due to gravity equal to zero at the equator, the angular velocity of rotation of the earth about its axis should be $\left(g=10 \mathrm{~ms}^{-2}\right.$ and radius of earth is $6400 \ \mathrm{kms})$

If a particle covers half the circle of radius $R$ with constant speed then

A man can see the object between $15 \mathrm{~cm}$ and $30 \mathrm{~cm}$. He uses the lens to see the far objects. Then due to the lens used, the near point will be at

The maximum velocity and the maximum acceleration of a body moving in a simple harmonic oscillator are $2 m / s$ and $4 m / s ^2$. Then angular velocity will be

A $50$ turns circular coil has a radius of $3 \mathrm{~cm}$, it is kept in a magnetic field acting normal to the area of the coil. The magnetic field $B$ increased from $0.10$ tesla to $0.35$ tesla in $2$ milliseconds. The average induced e.m.f. in the coil is

A ray is incident at an angle of incidence $i$ on one surface of a prism of small angle $A$ and emerges normally from the opposite surface. If the refractive index of the material of the prism is $\mu$, the angle of incidence $i$ is nearly equal to

A block of ice floats on a liquid of density $1.2$in a beaker then level of liquid when ice completely melt

If the kinetic energy of a body increases by $0.1 \%$, the percent increase of its momentum will be