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A massless rod of length L is suspended by two identical strings AB and CD of equal length. A block of mass m is suspended from point O such that BO is equal to ‘x’. Further it is observed that the frequency of 1st harmonic in AB is equal to 2nd harmonic frequency in CD. ‘x’ is
  • a)
    L/5
  • b)
    4L/5
  • c)
    3L/4
  • d)
    L/4
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A massless rod of length L is suspended by two identical strings AB an...
Frequency of Ist harmonic of 
Frequency of 2nd harmonic of
Given that the two frequencies are equal.

For rotational equilibrium of massless rod, taking torque about point O.
TAB × x = TCD (L – x) ... (ii)
For translational equilibrium,
TAB + TCD = mg ... (iii)
On solving, (i) and (iii), we get
Substituting these values in (ii), we get
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A massless rod of length L is suspended by two identical strings AB and CD of equal length. A block of mass m is suspended from point O such that BO is equal to ‘x’. Further it is observed that the frequency of 1st harmonic in AB is equal to 2nd harmonic frequency in CD. ‘x’ isa)L/5b)4L/5c)3L/4d)L/4Correct answer is option 'A'. Can you explain this answer?
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A massless rod of length L is suspended by two identical strings AB and CD of equal length. A block of mass m is suspended from point O such that BO is equal to ‘x’. Further it is observed that the frequency of 1st harmonic in AB is equal to 2nd harmonic frequency in CD. ‘x’ isa)L/5b)4L/5c)3L/4d)L/4Correct answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A massless rod of length L is suspended by two identical strings AB and CD of equal length. A block of mass m is suspended from point O such that BO is equal to ‘x’. Further it is observed that the frequency of 1st harmonic in AB is equal to 2nd harmonic frequency in CD. ‘x’ isa)L/5b)4L/5c)3L/4d)L/4Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A massless rod of length L is suspended by two identical strings AB and CD of equal length. A block of mass m is suspended from point O such that BO is equal to ‘x’. Further it is observed that the frequency of 1st harmonic in AB is equal to 2nd harmonic frequency in CD. ‘x’ isa)L/5b)4L/5c)3L/4d)L/4Correct answer is option 'A'. Can you explain this answer?.
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