A simple wave motion is represented by y = 5 sin ⁡ 4 π t + 3 cos ⁡ 4 π t . Its amplitude is

y = 5 sin ⁡ 4 π t + 3 cos ⁡ 4 π t y = 5 sin ⁡ 4 π t + 5 3 cos ⁡ 4 π t A = A 1 2 + A 2 2 A = 5 2 + 5 3 2 = 25 + 75 = 100 A = 10

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PhysicsSHMMiscellaneousEasy2 minPYQ_2017

PhysicsEasysingle choice

A simple wave motion is represented by $y = 5 (\sin 4 π t + \sqrt{3} \cos 4 π t)$ . Its amplitude is

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Answer:

Solution:

$y = 5 (\sin 4 π t + \sqrt{3} \cos 4 π t)$
$y = (5 \sin 4 π t + 5 \sqrt{3} \cos 4 π t)$
$A = \sqrt{A_{1}^{2} + A_{2}^{2}}$
$A = \sqrt{{(5)}^{2} + {(5 \sqrt{3})}^{2}}$
$= \sqrt{25 + 75} = \sqrt{100}$
$A = 10$

Stream:MHT_CETSubject:PhysicsTopic:SHMSubtopic:Miscellaneous

⏱ 2mℹ️ Source: PYQ_2017

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