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Question

Statement I: The max value of force F such that the block shown does not move is μmgcosθ where μ is the coefficient of friction between block end surface.
Statement II: Frictional Force = (Coefficient of friction) x (Normal reaction)
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A
Statement 1 is True, Statement 2 is True; Statement 2 is a correct explanation for Statement 1
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B
Statement 1 is True, Statement 2 is True; Statement 2 is NOT a correct explanation for Statement 1
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C
Statement 1 is True, Statement 2 is False
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D
Statement 1 is False, Statement 2 is True
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Solution

The correct option is D Statement 1 is False, Statement 2 is True
The max value of force F such that the block shown does not move is:
Fcosθ=μ(mg+Fsinθ)
F=μmg(cosθμsinθ)
So, the statement 1 is false.
The frictional force is proportional to the normal reaction.
So, Frictional Force = (Coefficient of friction) x (Normal reaction)

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