Question

If the equation of transverse wave $ (h=6.6\times {{10}^{-34}}J.s,c=3\times {{10}^{8}}m/s) $ where distance is in cm and time in sec, then the wavelength of wave will be :

• A. 20 cm
• B. 40 cm
• C. 60 cm
• D. none of these

Answer 1

Answer: (B)

The equation of transverse wave is $ y=5\sin 2\pi \left[ \frac{t}{0.04}-\frac{x}{40} \right] $ ??.(i) Now standard equation of transverse wave is $ y=a\,\sin 2\pi \left[ \frac{t}{T}-\frac{x}{\lambda } \right] $ ??(ii) Comparing equations (i) and (ii), we get $ \frac{x}{\lambda }=\frac{x}{40} $ or $ \lambda =40cm $