Two objects having their masses in ratio $3 : 5$ are acted upon by two forces each on one object. The forces are in the ratio of $5 : 3$ . Find the ratio in their accelerations.

9 : 7

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25 : 9

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4 : 5

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3 : 4

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Solution

The correct option is D $25 : 9$
Given : $\frac{m_{1}}{m_{2}} = \frac{3}{5}$ $\frac{F_{1}}{F_{2}} = \frac{5}{3}$
Acceleration $a = \frac{F}{m}$

$⟹$ $\frac{a_{1}}{a_{2}} = \frac{F_{1}}{F_{2}} . \frac{m_{2}}{m_{1}} = \frac{5}{3} \times \frac{5}{3} = \frac{25}{9}$

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