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Which of the following physical quantiti...

Which of the following physical quantities has different dimensional formula ?

A

Energy per unit volume

B

Product of voltage and charge per unit volume.

C

Force acting per unit area

D

Angular momentum

Text Solution

Verified by Experts

Energy per unit volume
`("energy")/("volume")=(E)/(V)`
`=(M^(1)L^(2)T^(-2))/(L^(3))=M^(1)L^(-1)T^(-2)`
(b) Products of voltage and charge per unit volume
`="Voltage" xx("Charge")/("Volume")`
`=(VxxQ)/("Volume")`
`=(M^(1)L^(2)T^(-2))/(L^(3))`
(c) Force acting per unit area.
`(F)/(A)=(M^(1)L^(1)T^(-2))/(L^(2))`
`=M^(1)L^(-1)T^(-2)`
(d) Angular momentum `=mvr`
`=M^(1)L^(1)T^(-1)xxL^(-1)`
Hence D is correct option.
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