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प्रश्न
The equation of a simple harmonic progressive wave travelling on a string is y = 8 sin (0.02x - 4t) cm. The speed of the wave is ______.
विकल्प
10 cm/s
20 cm/s
100 cm/s
200 cm/s
उत्तर
The equation of a simple harmonic progressive wave travelling on a string is y = 8 sin (0.02x - 4t) cm. The speed of the wave is 200 cm/s.
Explanation:
y = 8 sin (0.02x - 4t)
y = A sin `((2pix)/lambda - 2pi"nt")`
We know that,
`therefore (2pi)/lambda = 0.02`
`therefore lambda = (2pi)/0.02`
= 100 π
And 2πn = 4
`therefore "n" = 2/pi`
∴ v = nλ
`= 2/pi xx 100 pi`
= 200 cm/s.
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