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If momentum (p), Mass (M), Time (T) are...

If momentum `(p)`, Mass `(M)`, Time `(T)` are chosen as fundamental quantites then the dimensional formula for length is..........

A

`(P^(1) T^(1) M^(1))`

B

`(P^(1) T^(1) M^(2))`

C

`(P^(1) T^(1) M^(-1))`

D

`(P^(2) T^(2) M^(1))`

Text Solution

Verified by Experts

The correct Answer is:
C
`L prop (P)^(a) (M)^(b) (T)^(c)`
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Knowledge Check

  • If force F, Mass M and time T are chosen as fundamental quantities the dimensional formula for length , is

    A
    [FMT]
    B
    `[FM^(-1)T^2]`
    C
    `[FM^(2)T^(-2)]`
    D
    `[F^(-1)M^(-2)T^(-2)]`

  • If force F , Mass M and time T are chosen as fundamental quanties the dimensional formula for length is

    A
    `[FMT]`
    B
    `[FM^(-1) T^(2)]`
    C
    `[FL^(2) T^(-2)]`
    D
    `[F^(-1) L^(-2) T^(-2)]`

  • If momentum (p), Area (A) and time (T) are takes as fundamental quantities, then energy has the dimensional formula :

    A
    `[pA^(1//2)T^(-1)]`
    B
    `[pA^(-1//2)T^(1)]`
    C
    `[p^(2)AT]`
    D
    `[pA^(-1)T]`

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