JEE MAIN - Physics (2021 - 26th August Morning Shift - No. 26)
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.
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.
Answer
1
Explanation
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
cos(1.57 cm$$-$$1)x = 0
(1.57 cm$$-$$1)x = $${\pi \over 2}$$
x = $${\pi \over {2(1.57)}}$$ cm = 1 cm
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