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

Question

If frequency F, velocity V, and density D are considered fundamental units, the dimensional formula for momentum will be (A) D V F2 (B) D V2 F-1 (C) D2 V2 F2 (D) D V4 F-3

Tardigrade Admin · Accepted Answer

Momentum, p=m v=M L T-1=M L-3 L4 T-4 T3 =D V4 F-3

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

$D V F^{2}$

$D V^{2} F^{- 1}$

$D^{2} V^{2} F^{2}$

$D V^{4} F^{- 3}$

Momentum, $p = m v = M L T^{- 1} = M L^{- 3} L^{4} T^{- 4} T^{3}$
$= D V^{4} F^{- 3}$

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

DVF2

DV2F−1

D2V2F2

DV4F−3