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Assertion : The time period of a pendulu...

Assertion : The time period of a pendulum is given by the formula, `T=2pisqrt(g//l)` .
Reason : According to the principle of homogeneity of dimensions, only that formula is correct in which the dimensions of L.H.S. is equal to dimensions of R.H.S.

A

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

B

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

C

If assertion is true but reason is false.

D

If assertion is false but reason is true.

Text Solution

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The correct Answer is:
D
`T = 2pi sqrt(g/l)`
L.H.S `=[T]`
R.H.S `=[(LT^(-2))/(L)]^(1//2)=T^(-1)`
[L.H.S.] `ne` [R.H.S]
According to principle of homogeneity the relation is not valid
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