Verified Solution • 2025–26 Session moderate

QAIPM-2011-Ph-1828: NEET 2011 Physics - Class 11 AIPM-2011-Ph-1828 Solution: Two identical piano wires kept under the same tension T have a…

Two identical piano wires kept under the same tension T have a fundamental frequency of 600 Hz. The fractional increase in the tension of one of the wires which will lead to occurrence of 6 beats/s when both the wires oscillate together would be 0.01 0.02 0.03 0.04

Multiple Choice Options

  • A v1+v22{{{v_1} + {v_2}} \over 2} 2 v 1 _ + v 2 _ _
  • B v1v2v1+v2{{{v_1}{v_2}} \over {{v_1} + {v_2}}} v 1 _ + v 2 _ v 1 _ v 2 _ _
  • C 2v1v2v1+v2{{2{v_1}{v_2}} \over {{v_1} + {v_2}}} v 1 _ + v 2 _ 2 v 1 _ v 2 _ _
  • D v12v22v12+v22{{v_1^2v_2^2} \over {v_1^2 + v_2^2}} v 1 2 _ + v 2 2 _ v 1 2 _ v 2 2 _ _

Step-by-Step Verified Solution

Let total distance = 2S Let particle take t 1 time to cover first S distance, _ t 1 = S v 1 Let particle take t 2 time to cover last S distance, _ t 2 = S v 2 _ Average speed = 2 S S v 1 + S v 2 = 2 v 1 v 2 v 1 + v 2

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