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A wave in a string has an amplitude of 2 cm. The wave travels in the + ve direction of x axis with a speed of 128 m/sec and it is noted that 5 complete waves fit in 4 m length of the string. The equation describing the wave is
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- y = (0.02) m sin (15.7x – 2010t)
- y = (0.02) m sin (15.7x + 2010t)
- y = (0.02) m sin (7.85x – 1005t)
- y = (0.02) m sin (7.85x + 1005t)
Correct Option: C
| A = 2cm, | = 128 ms–1, 5λ = 4, λ = | m | ||
| k | 5 |
y = A sin (kx – ωt),
| k = | = | = | = 7.85 | |||
| λ | 4 | 4 |
y = 0.02 m sin (7.85x – 1005 t)
ω = 128 × 7.85 = 1005
