NEET · Physics · STD 11 - 14. waves and sound
A uniform rope of length \(L\) and mass \(m_1\) hangs vertically from a rigid support. A block of mass \(m_2\) is attached to the free end of the rope. A transverse pulse of wavelength \(\lambda _1\), is produced at the lower end of the rope. The wave length of the pulse when it reaches the top of the rope is \(\lambda _2\). The ratio \(\lambda _2\,/\,\lambda _1\) is
- A \(\sqrt {\frac{{{m_1} + {m_2}}}{{{m_2}}}} \)
- B \(\;\sqrt {\frac{{{m_2}}}{{{m_1}}}} \)
- C \(\;\sqrt {\frac{{{m_1} + {m_2}}}{{{m_1}}}} \)
- D \(\;\sqrt {\frac{{{m_1}}}{{{m_2}}}} \)
Answer & Solution
Correct Answer
(A) \(\sqrt {\frac{{{m_1} + {m_2}}}{{{m_2}}}} \)
Step-by-step Solution
Detailed explanation
Wavelength of pulse at the lower end, \(\lambda_{1} \propto\) velocity \(\left(v_{1}\right)=\sqrt{\frac{T_{1}}{\mu}}\)
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