Question 114: Waves

Question

Two travelling waves produces a standing wave represented by equation,y = 1.0 mm cos(1.57 cm$$-$$1) x sin(78.5 s$$-$$1)t. The node closest to the origin in the region x > 0 will be at x = .............. cm.

Accepted Answer

For node
cos(1.57 cm
$$-$$1
)x = 0
(1.57 cm
$$-$$1
)x = $${\pi  \over 2}$$
x = $${\pi  \over {2(1.57)}}$$ cm = 1 cm

Waves

Two travelling waves produces a standing wave represented by equation,y = 1.0 mm cos(1.57 cm$-1) x sin(78.5 s-$1)t. The node closest to the origin in the region x > 0 will be at x = .............. cm.

Choose the correct answer: