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If energy ( E), velocity ( V) and time (...

If energy ( E), velocity ( V) and time ( T) are chosen as the fundamental quantities the dimensional formula of surface tension will be

A

`EV^(-2)T^(-1)`

B

`EV^(-1)T^(-2)`

C

`EV^(-2)T^(-2)`

D

`EV^(-2)T^(-3)`

Text Solution

Verified by Experts

The correct Answer is:
C

Dimension of mass,
`[M] = ML^(2) T^(-2).L^(-2)T^(2)= ML^(2)T^(-2).(LT^(-1))^(-2)=EV^(-2)`
Therefore dimensional formula of surface tension,
`MT^(-2) = EV^(-2)T^(-2)`
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CHHAYA PUBLICATION-MEASUREMENT AND DIMENSION OF PHYSICAL QUANTITY -EXAMINATION ARCHIVE with solutions (AIPMT)
  1. If energy ( E), velocity ( V) and time ( T) are chosen as the fundamen...

    Text Solution

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