Question

A wave is represented by

y = a sin (At – Bx + C) where A, B, C are constants. The Dimensions of A, B, C are –

• A. T^–1, L, M⁰L⁰T⁰
• B. T^–1, L^–1, M⁰L⁰T⁰
• C. T, L, M
• D. T^–1, L^–1, M^–1

Answer 1

Answer: (B)

T^–1, L^–1, M⁰L⁰T⁰

Answer 2

y = A sin (At –Bx +c)

At–Bx + c is dimension less

i.e. [At] = [Bx] = [C] = [M⁰L⁰T⁰]

or [A] = [T^–1]

and [B] = [L^–1]

and [C] = M⁰L⁰T⁰