Question

If T = 2π √ML³3Yq, then find the dimensions of q. Where T is the time period of a bar of mass M, length L, and Young’s modulus Y.

• A. [L]
• B. [L²]
• C. [L⁴]
• D. [L³]

Hint:

Always balance dimensions on both sides of the equation.

Answer 1

The Correct Option is C

Substitute dimensions of all quantities and equate powers of L to find dimension of q.