JEE Main & Advanced Physics Wave Mechanics Question Bank Beats

  • question_answer
    Two waves of lengths 50 cm and 51 cm produced 12 beats per second. The velocity of sound is [CBSE PMT 1999; Pb. PET 2001; AFMC 2003]

    A)            306 m/s                                  

    B)            331 m/s

    C)            340 m/s                                  

    D)            360 m/s

    Correct Answer: A

    Solution :

                       \[{{n}_{1}}=\frac{v}{{{\lambda }_{1}}}=\frac{v}{0.50}\] and \[{{n}_{2}}=\frac{v}{{{\lambda }_{2}}}=\frac{v}{0.51}\]                    \[\Delta n={{n}_{1}}-{{n}_{2}}=v\,\left[ \frac{1}{0.05}-\frac{1}{0.51} \right]=12\]                    Þ \[v=\frac{12\times 0.51\times 0.50}{0.01}=306\]\[m/s\]


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