Assertion :Minimum force is needed to move a block on rough surface, if θ= angle of friction. Reason: Angle of friction and angle of repose are numerically same.
A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
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B
Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
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C
Assertion is correct but Reason is incorrect
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D
Both Assertion and Reason are incorrect
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Solution
The correct option is B Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
Angle of repose and angle of friction are numerically the same as they both correspond to force on the object that is just sufficient to move it, i.e., equal to the limiting friction force.
However, minimum force is needed to move the object at angle of friction as the external force just becomes equal to the limiting force of friction.
Hence, both assertion and reason are correct but reason is not the correct explanation of assertion.