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

2^1/3:1

1:3^1/2

3^1/2:1

1:2^1/3

Solution

1:3^1/2

Law of conservation of momentum gives
m₁ v₁ = m₂ v₂
$straight m subscript 1 over straight m subscript 2 space equals straight v subscript 2 over straight v subscript 1 space But space space straight m space equals space 4 over 3 πr cubed straight rho or space straight m proportional to space straight r cubed therefore space straight m subscript 1 over straight m subscript 2 space equals space fraction numerator straight r subscript 1 superscript 3 over denominator straight r subscript 2 superscript 3 end fraction space equals space straight v subscript 2 over straight v subscript 1 straight r subscript 1 over straight r subscript 2 space equals space open parentheses 1 half close parentheses to the power of 1 divided by 3 end exponent straight r subscript 1 space colon straight r subscript 2 space equals space 1 space colon 2 to the power of 1 divided by 3 end exponent$

Some More Questions From Nuclei Chapter

A photocell is illuminated by a small bright source placed 1 m away. When the same source of light is placed 1 /2 m away, the number of electrons emitted by photocathode would

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Nuclei

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

2^1/3:1

1:3^1/2

3^1/2:1

1:2^1/3

Some More Questions From Nuclei Chapter

In gamma-ray emission from a nucleus

When ₃Li⁷ nuclei are bombarded by protons, and the resultant nuclei are ₄Be⁸ , the emitted particles will be

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A photocell is illuminated by a small bright source placed 1 m away. When the same source of light is placed 1 /2 m away, the number of electrons emitted by photocathode would

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Nuclei

A nucleus disintegrates into two nuclear parts which have their velocities in the ratio 2:1. The ratio of their nuclear sizes will be 21/3:1 1:31/2 31/2:1 1:21/3

Some More Questions From Nuclei Chapter

In gamma-ray emission from a nucleus

When 3Li7 nuclei are bombarded by protons, and the resultant nuclei are 4Be8 , the emitted particles will be

The ‘rad’ is the correct unit used to report the measurement of

A photocell is illuminated by a small bright source placed 1 m away. When the same source of light is placed 1 /2 m away, the number of electrons emitted by photocathode would

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

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

2^1/3:1

1:3^1/2

3^1/2:1

1:2^1/3

When ₃Li⁷ nuclei are bombarded by protons, and the resultant nuclei are ₄Be⁸ , the emitted particles will be