Question

Figure given shows a sinusoidal wave on a string. If the frequency of the wave is 150 Hz, what is the velocity and wavelength of the given wave?

• A. 0.04 m, 10 m s–1
• B. 0.06 m, 12 m s–1
• C. 0.08 m, 10 m s–1
• D. 0.08 m, 12 m s–1

Answer 1

Answer: (D)

0.08 m, 12 m s–1

Answer 2

Given : Frequency of the wave,$\upsilon = 150Hz$

From the figure

$\frac{5}{2}\lambda = 20cm$

$\therefore$Wavelength of the wave,

$\lambda = \frac{40}{5}cm = 8cm$

$= 8 \times 10^{- 2}cm = 0.08m$

Velocity of the wave, $v = \upsilon\lambda$

$= (150s^{- 1})(8 \times 10^{- 2}m) = 12ms^{- 1}$