Two blocks of mass m and 2m are kept in contact on a smooth horizontal surface. A horizontal pushing force F is applied on mass 2m in case I and on mass m in case II. Then the ratio of normal reaction between the blocks in case I to that in case II is :

Options

A. `1 : `1
B. `1 : 2`
C. `2 : 1`
D. `1 : 3`

Answer

B

Explanation

In case I : `a_(1) = (F)/(3m) implies N_(1) = m a_(1) = (F)/(3)`
In case II : `a_(2) = (F)/(3m) implies N_(2) = 2m a_(2) = (2F)/(3)` `N_(1) : n_(2) = 1 : 1`