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In the equation y=asin(?t+kx),the dimensionals formula of ? is

In the equation y=a sin(?t+kx),the dimensional formula of ? is

Options

(a) [M⁰L⁰T⁻¹]
(b) [M⁰LT⁻¹]
(c) [ML⁰T⁰]
(d) [M⁰L⁻¹T⁰]

Correct Answer:

[M⁰L⁰T⁻¹]

Explanation:

Angle is dimension less quantity. So the argument (?t-kx) is a dimension less. Therefore, ?t as well as kx are also dimension less.

Dimension of t is T. So dimension of ? must be T⁻¹

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