Question

If the force is proportional to square of velocity, then the dimension of proportionality constant is
a) [MLT⁰]
b) [MLT⁻¹]
c) [ML⁻²T]
d) [ML⁻¹T⁰]

Answer 1

Force is directly proportional to square of velocity.
e.g., F = Kv² , here K is proportionality constant

We know,
dimension of F = [MLT⁻²]
dimension of v = [LT⁻¹]
∴ dimension of F = dimension of K × dimension of v²
⇒[MLT⁻²] = dimension of K × [LT⁻¹]²
dimension of K = [MLT⁻²]/[L²T⁻²] = [ML⁻¹]

Hence, option (d) is correct.

Answer 2

Answer:

(D)

Explanation:

hope it will help u....