Question

6.
If force (F), velocity (V) and time (T) are taken as
fundamental units, then the dimensions of mass
are
[AIPMT-2014)
(1) [F VT-')
(2) [F VT-4)
(3) [F V-T-') (4) [F V-T​

Answer 1

Answer:

Use dimension as per F,V,T

use formula F=ma

To get dimension of M

M=F/A

a can be written as v/t

v=velocity

t=time

Answer 2

Answer:

(4) FV^-1T

Explanation:

F equals to MLT to the power -2

V equals to LT to the power minus 1

T equals to T

FV^-1 T= MLT^-2 L^-1T T =ML^1-1T^-2+1+1=ML^0T^0

=[M]= dimension of mass.

This is the complete method and answer of your question. Hope it will help you. All the best.

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