Q.

In a system of units if force (F), acceleration (A) and time (T) are taken as fundamental units then the dimensional formula of energy is

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a

FA2T

b

FAT2

c

F2AT

d

FAT

answer is B.

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Detailed Solution

E = KFaAbTc[ML2T-2] = [MLT-2]a[LT-2]b[T]c[ML2T-2] = [MaLa+bT2a-2b+c]a = 1, a+b = 2 ⇒b = 1and -2a -2b+c = -2 ⇒c = 2∴   E = KFAT2
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In a system of units if force (F), acceleration (A) and time (T) are taken as fundamental units then the dimensional formula of energy is