A vibrating tuning fork generates a wave given by y = 0.1 sin `pi` (0.1 x- 2t) , Where x and y are in metre and t is in second. The distance travelled by the wave while the fork completes 30 vibrations is :

Options

A. 600 m
B. 36 m
C. 20 m
D. 200 m

Answer

A

Explanation

y = 0.1 sin `(0.1 pi x - 2 pi t)`
comparing it with y = r sin `(kx - omega t)`.
`rArr " " k = 0.1 pi and omega = 2pi `
`(2pi)/(lambda) = 0.1 pi " " rArr " " lambda ` = 20 m,
`therefore` Distance travelled by wave when tunning fork completes 30 vibrations = 30 `lambda` = 600 m
Correct choice is a.