A nucleus disintegrates into two nuclear parts which have their velocities in the ratio

A Nucleus Disintegrates Into Two Nuclear Parts Which Have Their Physics QuestionA Nucleus Disintegrates Into Two Nuclear Parts Which Have Their Physics Question

A nucleus disintegrates into two nuclear parts which have their velocities in the ratio 2 : 1. The ratio of their nuclear sizes will be

Options

(a) 2¹/³ : 1
(b) 1 : 3¹/²
(c) 3¹/² : 1
(d) 1 : 2¹/³

Correct Answer:

1 : 2¹/³

Explanation:

Law of conservation of momentum gives m₁v₁ = m₂v₂

Therefore, m₁/m₂ = v₁/v₂ = 1/2

We know that, R = R₀.A¹/³

Where R is radius of nucleus and A is mass number.

.·. (R₁/R₂) = [A₁/A₂]¹/³ = [m₁/m₂]¹/³ = (1/2)¹/³

⇒ (R₁/R₂) = 1 / (2¹/³)

⇒ R₁ : R₂ = 1 : 2¹/³

AddThis Website Tools
admin:

Related Questions

  1. In a LCR series circuit, the potential difference between the terminals of the inductor
  2. The resistance of a wire is 5 ohm at 50° C and 6 ohm at 100° C. The resistance
  3. The original temperature of a black body is 727⁰C. The temperature at which this black
  4. A person cannot see the objects clearly placed at a distance more than 40 cm
  5. If a magnet is suspended at an angle 30⁰ to the magnetic meridian, the dip needle