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The dimensions of the quantities is one ...

The dimensions of the quantities is one of the following pairs are the same. Identify the correct pair:

A

Energy and Young's modulus

B

Angular momentum and work

C

Time period and frequency

D

Torque and work

Text Solution

Verified by Experts

The correct Answer is:
D
Torque `tau=r xx F`
Dimension of torque `rArr Lxx MLT^(-2)`
`rArr ML^(2)T^(-2)`
`"Work W"=FxxS`
Dimension of work `=MLT^(-2)xxL=ML^(2)T^(-2)`
Hence torque and work both have same dimensions.
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