SATHEE: Wave Motion 1 Question 9

Wave Motion 1 Question 9

9. A block $M$ hangs vertically at the bottom end of a uniform rope of constant mass per unit length. The top end of the rope is attached to a fixed rigid support at $O$ . A transverse wave pulse (Pulse 1) of wavelength $λ_{0}$ is produced at point $O$ on the rope. The pulse takes time $T_{O A}$ to reach

point $A$ . If the wave pulse of wavelength $λ_{0}$ is produced at point $A$ (Pulse 2) without disturbing the position of $M$ it takes time $T_{A O}$ to reach point $O$ . Which of the following options is/are correct?

(a) The time $T_{A O} = T_{O A}$

(2017 Adv.)

(b) The wavelength of Pulse 1 becomes longer when it reaches point $A$

(d) The velocities of the two pulses (Pulse 1 and Pulse 2) are the same at the mid-point of rope

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Answer:

Correct Answer: 9. $(a, c, d)$

Solution:

$v = \sqrt{\frac{T}{μ}}$ , so speed at any position will be same for both pulses, therefore time taken by both pulses will be same.

$\begin{aligned} λ f & = v \\ \Rightarrow & λ = \frac{v}{f} \\ \Rightarrow & λ \propto v \propto T \end{aligned}$

since when pulse 1 reaches at $A$ tension and hence speed decreases therefore $λ$ decreases.

NOTE

If we refer velocity by magnitude only, then option $(a, c, d)$ will be correct, else only $(a, c)$ will be correct.

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Wave Motion 1 Question 9

Answer:

NOTE

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अन्य संसाधन

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परीक्षा मंच

नमूना मॉक टेस्ट

सदस्यता

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Wave Motion 1 Question 9

9. A block M hangs vertically at the bottom end of a uniform rope of constant mass per unit length. The top end of the rope is attached to a fixed rigid support at O. A transverse wave pulse (Pulse 1) of wavelength λ0 is produced at point O on the rope. The pulse takes time TOA to reach

Answer:

NOTE

इंजीनियरिंग की तैयारी

चिकित्सा तैयारी

एनसीईआरटी पुस्तकें और समाधान

महत्वपूर्ण संसाधन

अन्य संसाधन

पाठ्यक्रम

परीक्षा मंच

नमूना मॉक टेस्ट

सदस्यता

एनसीईआरटी व्यायाम वीडियो समाधान

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