Q.

A triangle wave pulse on a taut string travels in positive x–direction with speed v. the tension in the string is F, and linear mass density of string is μ. At t = 0 the shape of pulse is given byy(x,0)=0 if x<−Lh(L+x)L for −LLChoose the INCORRECT statement(s). (h << L)

Very difficult

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Magnitude of instantaneous power is zero for - L<(x-vt)<- L

Magnitude of instantaneous power is FvhL2 for (x – vt) < – L

Magnitude of instantaneous power is FvhL2 for (x – vt) > L

Magnitude of instantaneous power is FvhL2 for 0 < (x – vt) < L

answer is 1,2,3.

(Detailed Solution Below)

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Detailed Solution

Wave moves in positive x direction ∴replace x by x-vt to get yx,t y(x,t)=0 if x-vt<−Lh(L+x-vt)L for −LLPower=P(x,t)=-F∂y∂x∂y∂tP(x,t)=-F00=0 if x-vt<−L-FhL-hvL=FvhL2 for −LL

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