The differential cross-section for scattering by a target is given by \frac{d\sigma }{d\Omega }(\theta ,\phi )={a}^{2}+{b}^{2}{cos}^{2}\theta. If N is the flux of the incoming particles, the number of particles scattered per unit time is

Scattering theory — CSIR Net PYQ (Question 2)

A Scattering theory previous-year question (PYQ) from Quantum Mechanics (CSIR Net). Read the question, check the correct answer, then practise the full topic.

Question 2 of 14 · 5.0 marks

The differential cross-section for scattering by a target is given by

\frac{d σ}{d Ω} (θ, ϕ) = a^{2} + b^{2} cos^{2} θ

.
If

N

is the flux of the incoming particles, the number of particles scattered per unit time is

1 $\frac{4 π}{3} N (a^{2} + b^{2})$
2 $4 π N (a^{2} + \frac{1}{6} b^{2})$
3 $4 π N (\frac{1}{2} a^{2} + \frac{1}{3} b^{2})$
4 $4 π N (a^{2} + \frac{1}{3} b^{2})$

Correct answer: Option 4

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