Question

A wave represented by the given equation

Y = A sin $\left( 10\pi x + 15\pi t + \frac{\pi}{3} \right)$, where x is in meter and t is in second. The expression represents –

• A. A wave traveling in the positive X direction with a velocity of 1.5 m/sec
• B. A wave traveling in the negative X direction with a velocity of 1.5 m/sec
• C. A wave traveling in the negative X direction with a wavelength of 0.4 m
• D. A wave traveling in the positive X direction with a wavelength of 0.2 m

Answer 1

Answer: (B)

A wave traveling in the negative X direction with a velocity of 1.5 m/sec

Answer 2

w = 15 p = 2p/T, k = 10p = $\frac{2\pi}{\lambda}$

v = $\frac{\omega}{k}$ = $\frac{15\pi}{10\pi}$ = 1.5 m/s