1.

The stationary waves set up on a string have the equation y = (2 mm)sin[(6.28 m-1 )x] cos(ωt). This stationary wave is created by two identical waves, of amplitude A each, moving in opposite directions along the string.(a) A = 2 mm (b) A = 1 mm (c) The smallest length of the string is 50 cm. (d) The smallest length of the string is 2 m. 

Answer»

Correct Answer is: (b) A = 1 mm , (c) The smallest length of the string is 50 cm.

Comparing with the equation y = 2Asin (nπx/L) cos(ωt)

2A = 2 mm

or A = 1 mm

nπx/L = 6.28x = 2πx

or L = n/2 m. 

For n = 1, L = 0.5 m.



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