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Two masses of 1 g and 4g are moving with equal kinetic energy. The ratio of the magnitudes of their momenta is
  • a)
    1: 2
  • b)
    4 : 1
  • c)
    √2 : 1
  • d)
    1 : 16
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Two masses of 1 g and 4g are moving with equal kinetic energy. The rat...

Hence, the Correct Answer is option A
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Community Answer
Two masses of 1 g and 4g are moving with equal kinetic energy. The rat...
1:2
d)2:1

The formula for kinetic energy is K.E. = (1/2)mv^2, where m is the mass and v is the velocity.
Since the kinetic energy is equal for both masses, we can set up the following equation:

(1/2)(1 g)(v^2) = (1/2)(4 g)(v^2)

Dividing both sides of the equation by (1/2)(v^2), we get:

(1 g) = (4 g)

Dividing both sides of the equation by 1 g, we get:

1 = 4

Since this is not true, the equation is not balanced.

Therefore, the ratio of the magnitudes of their momenta is not 1:2 or 4:1, but rather 2:1.
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