A wave is represented by the equation y=A (10 x+15 t+ 3 ) where x is in metre and t is in…

Physics · JEE Advanced · NTA ExamsOscillations and Waves

A wave is represented by the equation
\(y=A \sin \left(10 \pi x+15 \pi t+\frac{\pi}{3}\right)\)
where x is in metre and t is in second. The expression represents
  1. a wave travelling in the positive x-direction with a velocity 1.5 m/s.
  2. a wave travelling in the negative x-direction with a velocity 1.5 m/s.
  3. a wave travelling in the negative x-direction having a wavelength 0.2 m.
  4. a wave travelling in the positive x-direction having a wavelength 0.2 m.

Answer

(D) a wave travelling in the positive x-direction having a wavelength 0.2 m.

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