In the relation : dy dx = 2 ω sin ω t + ϕ 0 the dimensional formula for ω t + ϕ 0 is :

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Question: Answered & Verified by Expert

In the relation :

\frac{dy}{dx} = 2 ω sin (ω t + ϕ_{0})

the dimensional formula for

(ω t + ϕ_{0})

is :

PhysicsUnits and DimensionsNEET

Options:

A $[MLT]$
B $[{MLT}^{0}]$
C $[{ML}^{0} T^{0}]$
D $[M^{0} L^{0} T^{0}]$

Solution:

2048 Upvotes Verified Answer

The correct answer is:

[M^{0} L^{0} T^{0}]

Unit of an angle is radian, it is a dimension less quantity

So

(ω t + ϕ_{0})

is dimensionless.

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