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Standard XII

Physics

Wave Equation

At t = 0, the...

Question

At t = 0, the displacement of a particle in S.H.M. is half its amplitude. Its initial phase is :

\frac{π}{6}

rad

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\frac{π}{3}

rad

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\frac{2 π}{3}

rad

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\frac{π}{2}

rad

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Solution

The correct option is A $\frac{π}{6}$ rad
equation of S.H.M is $y = A s i n (ω t + ϕ)$
at $t = 0; y = \frac{A}{2}$
$\Rightarrow \frac{1}{2} = s i n ϕ$
$\Rightarrow ϕ = \frac{π}{6}$

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At t = 0, the displacement of a particle in S.H.M. is half its amplitude. Its initial phase is :

The correct option is A π6radequation of S.H.M is y=Asin(ωt+ϕ)at t=0;y=A2⇒12=sinϕ⇒ϕ=π6

The correct option is A $\frac{π}{6}$ rad
equation of S.H.M is $y = A s i n (ω t + ϕ)$
at $t = 0; y = \frac{A}{2}$
$\Rightarrow \frac{1}{2} = s i n ϕ$
$\Rightarrow ϕ = \frac{π}{6}$