Two blocks are in contact on a frictionless table one has a mass m and the other

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Two blocks are in contact on a frictionless table one has a mass m and the other 2 m as shown in figure. Force F is applied on mass 2m then system moves towards right. Now the same force F is applied on m. The ratio of force of contact between the two blocks will be in the two cases respectively.

Two Blocks Are In Contact On A Frictionless Table One Has A ...

Options:

A . 1 : 1

B . 1 : 2

C . 1 : 3

D . 1 : 4

Answer: Option B
:
B
When the force is applied on mass 2m contact force

f_{1} = \frac{m}{m + 2 m} g = \frac{g}{3}

When the force is applied on mass m contact force

f_{2} = \frac{2 m}{m + 2 m} g = \frac{2}{3} g

Ratio of contact forces

\frac{f_{1}}{f_{2}} = \frac{1}{2}

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