दो चलते हुए पिंडो के द्रव्यमानो का अनुपात `1: 2` तथा गतिज ऊजाओं का अनुपात `1: 8` है। उनके वेगो का अनुपात है

Options

A. a. `1: 16`
B. b. `1: 2`
C. c. `1: 4`
D. d. `1: 8`

Answer

B

Explanation

`K_(1) = (1)/(2) m_(1)v_(1)^(2)`
`K_(2)= (1)/(2) m_(2)v_(2)^(2)`
`therefore (K_(1))/(K_(2)) = (m_(1)v_(1)^(2))/(m_(2)v_(2)^(2))`
`therefore (v_(1)^(2))/(v_(2)^(2))= (K_(1))/(K_(2)) xx (m_(2))/(m_(1)) = (1)/(8) xx (2)/(1) = (1)/(4)`
`therefore (v_(1))/(v_(2))= (1)/(2)`