Wave Motion | The (x,y) coordinates of the corners of a square p-askIITians

vishnu ananthan Grade: 12

        The (x,y) coordinates of the corners of a square plate are (0,0),(L,0)(L,L)and(0,L).The edges of the plate are clamped and transverse standing waves are set up in it.If u(x,y) denotes the displacement of the plate at the point (x,y) at some instant of time, the possible expressions for u are

a.a cos(pie x /2L) cos(pie y/2L)

b.a sin(pie x /L) sin(pie y/L)

c.a sin(pie x /L) sin(2pie y/L)

d.a cos(2pie x /L) sin(pie y/L)

8 years ago

Answers : (1)

Askiitians Expert Soumyajit IIT-Kharagpur

28 Points

Dear Vishnu Ananthan,

Ans: Except a, all the others viz b,c,d satisfy the boundary condition hence they three are correct

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SOUMYAJIT IIT-KHARAGPUR

8 years ago

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