231.A string is rigidly tied at two ends and its equation is given by y=cos2piet sin2piex.Then minimum length of string is
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Equation of the string : (executing a standing transitive wave)
y = cos 2π t sin 2π x
Length of the string is minimum if the entire length L consists of just one loop, ie., one two nodes at the ends and one antinode in the middle.
at nodes: y = 0.
y = 0 for x = 0 and x = 1/2.
so L = 1/2 meter.
y = cos 2π t sin 2π x
Length of the string is minimum if the entire length L consists of just one loop, ie., one two nodes at the ends and one antinode in the middle.
at nodes: y = 0.
y = 0 for x = 0 and x = 1/2.
so L = 1/2 meter.
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Answer: hope this helps!
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