Two masses `m_(1)` and `m_(2)` are placed on a smooth horizontal surface and are connected by a string of negligible mass. A horizontal force F is applied on the mass `m_(2)` as shown in the figure. The tenison in the string is

Options

A. `((m_(1))/(m_(1) + m_(2))) F`
B. `(m_(2)F)/(m_(1) + m_(2))`
C. `((m_(1))/(m_(2)))F`
D. `(m_(2) F)/(m_(1))`

Answer

a

Explanation

According to the question, force (F) is applied on `m_(2)` mass
so, tension in the string
`T = m_(1) xx a`
or `T = m_(1) xx (F)/((m_(1) + m_(2))) [:' a = (F)/(m_(2) + m_(2))]`
Or `T = ((m_(1))/(m_(1) + m_(2))) F`