The equation of the wave is Y = 10 sin ( 30 2 π t + α ) If the displacement is 5 cm at t = 0 then the total phase at t = 7.5 s will be ( sin 3 0 ∘ = 0.5 )

∴ ∴ ∴ At t = 0 , 10 sin ( 30 2 π × 0 + α ) = 5 10 sin α = 5 sin α = 0.5 α = 6 π Thus, at t = 7.5 s , 10 sin ( 30 2 π × 7.5 + α ) = 10 sin ( 2 π + 6 π ) ∴ The total phase is 3 2 π .

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PhysicsWave on StringMiscellaneousMedium2 minPYQ_2023

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The equation of the wave is $Y = 10 sin (\frac{2 π t}{30} + α)$ If the displacement is $5 cm$ at $t = 0$ then the total phase at $t = 7.5 s$ will be $(sin 3 0^{\circ} = 0.5)$

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$∴ ∴ ∴ At t = 0, 10 sin (\frac{2 π \times 0}{30} + α) = 5 10 sin α = 5 sin α = 0.5 α = \frac{π}{6}$ Thus, at $t = 7.5 s$ , $10 sin (\frac{2 π \times 7.5}{30} + α) = 10 sin (\frac{π}{2} + \frac{π}{6})$ $∴$ The total phase is $\frac{2 π}{3}$ .

Stream:MHT_CETSubject:PhysicsTopic:Wave on StringSubtopic:Miscellaneous

⏱ 2mℹ️ Source: PYQ_2023

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