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Question

Two masses of M and 4M are moving with equal kinetic energy. The ratio of their linear momentum is


A

1:8

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B

1:4

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C

1:2

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D

4:1

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Solution

The correct option is C

1:2


Step 1: Given data

The relation between linear momentum and kinetic energy is p=2mKE

where pis momentum, m is mass and KE is the kinetic energy

For the masses M and 4M we have same kinetic energy

Step 2: Calculation

p1p2=2MKE2(4M)KEp1p2=14p1p2=12

Therefore, the ratio of their linear momentum will be 1 : 2.

Hence, Option (C) is correct.


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