AIPMT MAINS2009Physics-Waves

AIPMT MAINS 2009 Physics Wave Equation MCQ Question

Type: MCQ-numerical-Medium-Class 11

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:

A

y = (0.02) m sin (15.7x - 2010t)

B

y = (0.02) m sin (15.7x + 2010t)

C

y = (0.02) m sin (7.85x - 1005t)

D

y = (0.02) m sin (7.85x + 1005t)

Correct Answer

Option C

Detailed Explanation

The wave number k = 2π/λ and the angular frequency ω = 2πf. Given the speed and wavelength, the correct equation is y = (0.02) m sin (7.85x - 1005t).

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