Answer to Question #195542 in Mechanics | Relativity for Mohammad Balhas

Question

The equation of a standing wave is y(x,t) = 0.8 cos⁡(0.1πx) sin⁡(200πt) where x and y are in cm and t is in seconds. The separation distance between two consecutive nodes is:

40 cm

20 cm

5 cm

2.5 cm

10 cm

Clear selection

Answer 1

answer: 20 cm (option B)

explanation:

from the equation of wave we can find wavelength ($\lambda$ ) of wave

$$k={2\pi \over \lambda}$$

here ,

k=0.1$\pi$

therefore using formula we get,

$\lambda$ =20 cm

and distance between 2 consecutive node is equal to $\lambda$ i.e, 20 cm.

answer: 20 cm (option B)