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If frequency F, velocity V , and density...

If frequency `F`, velocity `V` , and density `D` are considered fundamental units , the dimensional formula for momentum will be

A

`(rho v^4 f^(-3))`

B

`(rho v^3 f^(-1))`

C

`(rho v f^(2))`

D

`(rho^(2) v^(2) f^(2))`

Text Solution

Verified by Experts

The correct Answer is:
A
`P prop f^a v^b rho^c , MLT^(-1)= k[T^(-1)]^a [LT^(-1)]^b[ML^(-3)]^c`
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Knowledge Check

  • The dimensional formula for angular momentum is

    A
    `[ML^(0)L^(2)T^(-2)]`
    B
    `[ML^(2)T^(-1)]`
    C
    `[MLT^(-1)]`
    D
    `[ML^(2)T^(-2)]`

  • Dimensional formula of angular momentum is :

    A
    `[M^(1)L^(2)T^(-1)]`
    B
    `[M^(2)L^(2)T^(-2)]`
    C
    `[M^(1)L^(2)T^(-3)]`
    D
    `[M^(1)L^(1)T^(-1)]`

  • Dimensional formula of Frequency

    A
    `[M^(-2)L^(3)T^(-2)]`
    B
    `[ML^(-3)T^(-2)]`
    C
    `[ML^(-2)T^2]`
    D
    `[M^0L^0T^(-1)]`

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