A transverse wave is represented by y = 10 ( 2 T t - 2 x ) For what value of the…

PHYSICS · Single correct · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

A transverse wave is represented by

y = \frac{10}{\pi} \sin\left(\frac{2\pi}{T}t - \frac{2\pi}{\lambda}x\right)

For what value of the wavelength is the wave velocity twice the maximum particle velocity? (1) 40 cm (2) 20 cm (3) 10 cm (4) 60 cm