Two balls of masses 2 g and 6 g are moving with kinetic energy in the ratio of 3 : 1 . What is the ratio of their linear momentum?

Question

Two balls of masses 2 g and 6 g are moving with kinetic energy in the ratio of 3 : 1 . What is the ratio of their linear momentum?, 1 : 1, 2 : 1, 1 : 2, None of these

MARKS App · Accepted Answer

K = 1 2 m v 2 = 1 2 × m ( m v 2 ) 2 = m v 2 m = m v 2 2 m or K = p 2 2 m ∴ K 1 K 2 = p 1 2 2 m 1 × 2 m 2 p 2 2 or 3 1 = p 1 p 2 × 6 2 ∴ p 1 : p 2 = 1 : 1

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