Question

What is dimensional formula of constant (b) in given equation F=mv^2+b/r F(force) , m(mass) v(velocity) and r(radius).

Answer 1

Answer:

Dimensional formula of b = M L² T⁻²

Explanation:

Since we can add or subtract F, mv²/r and b/r, all of them have the same dimension ie,

Dimension of F = Dimension of mv²/r = Dimension of b/r

[F] = [mv²/r] = [b/r]

M L T⁻² = M L T⁻² = [b] L⁻¹

Equating we get,

M L T⁻² = [b] L⁻¹

[b] = M L T⁻² / L⁻¹

[b] = M L² T⁻²