Question

Which of the following is not true for this progressive wave $y=4sin2\pi (\frac{t}{0.02}-\frac{x}{100})$ where y and x are in cm & t in sec

• A. Its amplitude is 4 cm
• B. Its wavelength is 100 cm
• C. Its frequency is 50 cycles/sec
• D. Its propagation velocity is 50 x 10³ cm/sec

Answer 1

The correct option is D Its propagation velocity is 50 x 10³ cm/sec

y = a sin($\omega$t - kx)

$\omega =\frac{2\pi }{0.02}$

$k=\frac{2\pi }{100}$

$v=\frac{\omega }{k}=5\times {10}^{3}cm/s=50$ m/s