Assertion: The dimensional formula for relative velocity is same as that of the change in velocity.
Reason: Relative velocity of P w.r.t. Q is the ratio of velocity of P and that of Q.

Both assertion and reason are true but the reason is the correct explanation of assertion

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Both assertion and reason are true but the reason is not the correct explanation of assertion

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Assertion is true but reason is false

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Both the assertion and reason are false

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Reason is true but assertion is false

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Solution

The correct option is C Assertion is true but reason is false

Relative velocity which is vector subtraction of two velocities will also be a vector of the form of velocity so, its dimensional formula will remain unchanged. Relative velocity is measured not by calculating ratio but by calculating difference.

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\to v =

\to r =

\to ω =

\to ω = \to v \times \to r

Assertion (A): Steel is more elastic than rubber.

Reason (R) : Under a given deforming force, steel is deformed less than rubber.

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