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The velocity, acceleration, and force in...

The velocity, acceleration, and force in two system of units are related as under :
(i) `v'=(alpha^(2))/(beta)v`
(ii) `a'=(alpha beta)a`
(iii) `F'=((1)/(alpha beta))F`
All the primed symbols belong to one system and unprimed ones belong to the other system. `alpha` and `beta` are dimensionless constants. Which of the following is/are correct ?

A

Length sdtandards of the two systems are related by `L'=((alpha^(3))/(beta^(3)))L`

B

Mass standards of the two systems are related by `m'=((1)/(alpha^(2)beta^(2)))m`

C

Time standards of the two systems are related by `T'((alpha)/(beta^(2)))T`

D

Momentum standards of the two systems are related `P'=((1)/(beta^(3)))P`

Text Solution

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The correct Answer is:
A, B, C, D
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