Neet Solved Paper 2013 Question 20

Question: A wave travelling in the positive a-direction having displacement along .y-direction as 1 m, wavelength $ 2\pi m $ and frequency of $ \frac{1}{\pi } $ Hz is represented by

Options:

A) $ y=\sin (x-2t) $

B) $ y=\sin (2\pi x-2\pi t) $

C) $ y=\sin (10\pi x-20\pi t) $

D) $ y=\sin (2\pi x+2\pi t) $

Show Answer

Answer:

Correct Answer: A

Solution:

Given A = 1 m As $ y=a\sin ,(kx-\omega t) $ $ =\sin ( \frac{2\pi }{2\pi }\times -2\pi \times \frac{1}{\pi }t ) $ $ =\sin (x-2t) $