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KVPY Sample Paper KVPY Stream-SX Model Paper-24

  • question_answer
    A string of length 1 m and mass 5 g is fixed at both ends. The tension in the string is 8.0 N. The string is set into vibration using an external vibrator of frequency 100 Hz. The separation between successive nodes on  the string is close to:                          

    A) 10.0 cm

    B) 33.3 cm

    C) 16.6 cm

    D) 20.0 cm

    Correct Answer: D

    Solution :

    \[f=\frac{n}{2\ell }\sqrt{\frac{T}{m}}\]On solving,     \[n=5\]
    \[5\] loops are formed in \[1m.\]
    \[\therefore \] Separation between successive nodes
    \[=\frac{1}{5}m=20\,cm.\]


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