If instead of mass, length and time as fundamental quantities we choose velocity, acceleration and force as fundamental quantities and express their dimesional symbols as v, a and F respectively. Show that the dimensions of Young's modulus can be expressed as `Fa^(2)v^(-4)`

Explanation

`Y prop (v)^(x)(a)^(y)(F)^(z)rArr [M^(1)L^(-1)T^(-2)]=[LT^(-1)]^(x)[LT^(-2)]^(y)[MLT^(-2)]^(z)`
`=[M]^(z)[L]^(x+y+z)[T]^(-x-2y-2z)`
`rArr z=1, x+y+z=-1, -x-2y-2z=-2`
`rArr z=1, y=2, x=-4 rArr Y=F a^(2)v^(-4)`