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Question

Question: The equation of a wave travelling in a string can be written as y = 3 cos\(\pi\) (100 t – x) Its wav...

The equation of a wave travelling in a string can be written as y = 3 cosπ\pi (100 t – x) Its wavelength is

A

100 cm

B

2 cm

C

5 cm

D

None of these

Answer

2 cm

Explanation

Solution

y = A cos (ωtkx)\omega t - kx) - standard equation

y = 3 cos (100 πtπx\pi t - \pi x) – given equation

So K = π\pi and λ=2πk=\lambda = \frac{2\pi}{k} =2 cm