NEET AIPMT SOLVED PAPER SCREENING 2011

  • question_answer
    Two waves are represented by the equations \[{{y}_{1}}-a\sin (\omega t+kx+0.57)m\]and \[{{y}_{2}}-a\cos \,(\omega t+kx)m,\]in, where x is in metre and t in second. The phase difference between them is

    A)  1.25 rad      

    B)         1.57 rad              

    C)         0.57 rad        

    D)         1.0 rad

    Correct Answer: D

    Solution :

    \[{{y}_{1}}=a\sin (\omega t+kx+0.57)m\] and\[{{y}_{2}}=a\cos (\omega t+kx)m\] or\[{{y}_{2}}=a\sin \left( \frac{\pi }{2}+\omega t+kx \right)m\] Phase difference \[\Delta \phi ={{\phi }_{2}}-{{\phi }_{1}}\] \[=\frac{\pi }{2}-0.57\] \[=1.57-0.57\] \[=1\,\text{rad}\]


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