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Q.

Assertion : Angle and angular displacement are dimensionless quantities.
Reason : Angle is equal to arc length divided by radius.

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a

If both assertion and reason are true and reason is the correct explanation of assertion.

b

If both assertion and reason are true but reason is not the correct explanation of assertion.

c

If assertion is true but reason is false.

d

If both assertion and reason are false.

answer is A.

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Detailed Solution

Angle or angular displacement

$= \frac{A r c l e n g t h}{R a d i u s} = \frac{[L]}{[L]}$ . It is a dimensionless quantity.

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Assertion : Angle and angular displacement are dimensionless quantities.Reason : Angle is equal to arc length divided by radius.