Sound WavesHard

Question

A standing wave of time period T is set up in a string clamped between two rigid supports. At t = 0 antinode is at its maximum displacement 2A.

Options

A.The energy density of a node is equal to energy density of an antinode for the first time at t = T / 4.
B.The energy density of node and antinode becomes equal after T/2 second.
C.The displacement of the particle at antinode at t = is √2 A
D.The displacement of the particle at node is zero

Solution

Equation of SHM of particle who is at antinode is y = 2Asin t at time t = y = 2A sin = √2A ; Displacement of particle at note is always zero.

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