Let the mass in represented by M then

M = f (V,F,T)

Assuming that a function is product of power functions of V, F and T

M = KV x F y T z Where k is a dimension less constant of proportionality. The above equation dimensionally becomes.

[M] = [LT

–1 ] x [MLT –2 ] y [T] 2 i.e. [M] = [M

y ] [L x + y T –x – 2y + z ]

So equation becomes

[M] = [M y L x + y T –x – 2y + z ]

For dimentionally correct expression,

y = 1, x + y = 0 and –x – 2y + z = 0

⇒ x = –1, y = 1 and z = 1.

Therefore M = KV –1 FT.

Hence correct answer is