Question

Given below are two statements, one is labelled as Assertion (A) and other one labelled as Reason (R).
Assertion (A) : The angle of repose is generally higher than angle of the internal friction for the grains of approximately the same moisture content and density.
Reason (R) : The angle of internal friction is equal to the tangent of coefficient of friction for the material.
In light of the above statements, choose the correct answer from the options given below.

• A. Both (A) and (R) are true and (R) is the correct explanation of (A).
• B. Both (A) and (R) are true but (R) is NOT the correct explanation of (A).
• C. (A) is true but (R) is false.
• D. (A) is false but (R) is true.

Hint:

Always check the wording of mathematical definitions in Reason statements. The coefficient of friction is equal to the tangent of the angle (\(\mu = \tan\theta\)), which means the angle itself is the inverse tangent (\(\theta = \tan^{-1}\mu\)).

Answer 1

The Correct Option is C