Assertion :When external force acting on a body moving on a rough horizontal surface is doubled, the acceleration of the body is doubled. Reason: The acceleration of a body moving on a rough horizontal surface is proportional to the resultant force acting on it.

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

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Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

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Assertion is correct but Reason is incorrect

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Assertion is incorrect but Reason is correct

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Solution

The correct option is D Assertion is incorrect but Reason is correct
A body with mass m on rough surface having friction coefficient $μ$
$A c c e l e r a t i o n_{1} = \frac{F - μ m g}{m}$ where F is external force
If we increase the external force twice , $A c c e l e r a t i o n_{2} = \frac{2 F - μ m g}{m}$
$A c c e l e r a t i o n_{2}$ is not double of $A c c e l e r a t i o n_{1}$
But, acceleration is directly proportional to resultant force acting on the body, where $1 / m$ is constant.

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