A radioactive nucleus of mass M emits a photon of frequency v and the nucleus recoils.

A radioactive nucleus of mass M emits a photon of frequency v and the nucleus recoils. The recoil energy will be

Options

(a) Mc² – hv
(b) h²v² / 2Mc²
(c) zero
(d) hv

Correct Answer:

h²v² / 2Mc²

Explanation:

Momentum Mu = E/c = hv / c
Recoil energy
1/2 Mu² = 1/2 . M²u² / M = 1/2M (hv/c)²
= h²v² / 2Mc²

admin:

Related Questions

  1. A uranium nucleus ₉₂ U ²³⁸ emits an α-particle and a β-particle in succession.
  2. A microscope is having objective of focal length 1 cm and eye-piece of focal length 6 cm.
  3. If the temperature of the sun were to increase from T to 2T and its radius from R and 2R
  4. A circular disc of radius R is removed from a bigger circular disc of radius 2R
  5. The radioactivity of a certain material drops to 1/16 of the initial value in 2 hours.