2. Solved Papers
  3. JAMIA MILLIA ISLAMIA

JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2005

  • question_answer
        A wave\[y=a\sin (\omega t-kx)\]on a string meets with another wave producing a node at\[x=0\]. Then the equation of the unknown wave is:

    A)  \[y=a\sin (\omega t+kx)\]

    B)  \[y=-a\sin (\omega t+kx)\]

    C)  \[y=a\sin (\omega t-kx)\]

    D)  \[y=-a\sin (\omega t-kx)\]

    Correct Answer: B

    Solution :

                    Equation of a wave \[y=a\sin (\omega t-kx)\]                         ...(1) Let equations of another wave may be, \[y=a\sin (\omega t+kx)\]                     ...(2) \[y=-a\sin (\omega t+kx)\]                     ...(3) If eq. (1) propagates with eq. (2), then we get \[y=2a\cos kx\sin \omega t\]                     ...(4) If eq. (1), propagates with eq. (3), then we get \[y=-2a\sin kx\cos \omega t\]                    ...(5) After putting\[x=0\]in eqs (4) and (5) respectively, we get \[y=2a\sin \omega t\] and \[y=0\] Hence, eq. (3) is a equation of unknown wave.


You need to login to perform this action.
You will be redirected in 3 sec spinner