JEE Main & Advanced Physics Wave Mechanics Question Bank Progressive Waves

  • question_answer
    A transverse wave of amplitude 0.5 m and wavelength 1 m and frequency 2 Hz is propagating in a string in the negative x-direction. The expression for this wave is  [AIIMS 1980]

    A)            \[y(x,\,t)=0.5\sin (2\pi x-4\pi t)\]

    B)            \[y(x,\,t)=0.5\cos (2\pi x+4\pi t)\]

    C)            \[y(x,\,t)=0.5\sin (\pi x-2\pi t)\]

    D)            \[y(x,\,t)=0.5\cos (2\pi x+2\pi t)\]

    Correct Answer: B

    Solution :

               \[\because \] \[y=a\cos \left( \frac{2\pi }{\lambda }vt+\frac{2\pi x}{\lambda } \right)=0.5\cos \left( 4\pi t+2\pi x \right)\]


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