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Given below are some functions of x and t to represent the displacement (transverse or longitudinal) of an elastic wave. State which of these represent (i) a traveling wave, y = 2 cos (3x) sin (10t)

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प्रश्न

Given below are some functions of x and t to represent the displacement (transverse or longitudinal) of an elastic wave. State which of these represent (i) a traveling wave, (ii) a stationary wave or (iii) none at all:

y = 2 cos (3x) sin (10t)

एका वाक्यात उत्तर
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उत्तर

The given equation represents a stationary wave because the harmonic terms kx and ωt appear separately in the equation.

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पाठ 14: Waves - Exercises [पृष्ठ ३८८]

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एनसीईआरटी Physics Part 1 and 2 [English] Class 11
पाठ 14 Waves
Exercises | Q 13.1 | पृष्ठ ३८८

संबंधित प्रश्‍न

When longitudinal wave is incident at the boundary of denser medium, then............................

  1. compression reflects as a compression.
  2. compression reflects as a rarefaction.
  3. rarefaction reflects as a compression.
  4. longitudinal wave reflects as transverse wave.

Given below are some functions of x and t to represent the displacement (transverse or longitudinal) of an elastic wave. State which of these represent (i) a traveling wave, (ii) a stationary wave or (iii) none at all:

y = cos x sin t + cos 2x sin 2t


Explain why (or how): Bats can ascertain distances, directions, nature, and sizes of the obstacles without any “eyes”,


Explain why (or how) Solids can support both longitudinal and transverse waves, but only longitudinal waves can propagate in gases


Explain why (or how) The shape of a pulse gets distorted during propagation in a dispersive medium.


A transverse wave is produced on a stretched string 0.9 m long and fixed at its ends. Find the speed of the transverse wave, when the string vibrates while emitting the second overtone of frequency 324 Hz.


A wave going in a solid
(a) must be longitudinal
(b) may be longitudinal
(c) must be transverse
(d) may be transverse.


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A transverse wave described by \[y = \left( 0 \cdot 02  m \right)  \sin  \left( 1 \cdot 0  m^{- 1} \right)  x + \left( 30  s^{- 1} \right)t\] propagates on a stretched string having a linear mass density of \[1 \cdot 2 \times  {10}^{- 4}   kg   m^{- 1}\] the tension in the string.


Two blocks each having a mass of 3⋅2 kg are connected by a wire CD and the system is suspended from the ceiling by another wire AB (See following figure). The linear mass density of the wire AB is 10 g m−1 and that of CD is 8 g m−1. Find the speed of a transverse wave pulse produced in AB and CD.


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A heavy but uniform rope of length L is suspended from a ceiling. (a) Write the velocity of a transverse wave travelling on the string as a function of the distance from the lower end. (b) If the rope is given a sudden sideways jerk at the bottom, how long will it take for the pulse to reach the ceiling? (c) A particle is dropped from the ceiling at the instant the bottom end is given the jerk. Where will the particle meet the pulse?


A 660 Hz tuning fork sets up vibration in a string clamped at both ends. The wave speed for a transverse wave on this string is 220 m s−1 and the string vibrates in three loops. (a) Find the length of the string. (b) If the maximum amplitude of a particle is 0⋅5 cm, write a suitable equation describing the motion.


Given below are some functions of x and t to represent the displacement (transverse or longitudinal) of an elastic wave. State which of these represent (i) a traveling wave, (ii) a stationary wave or (iii) none at all:

`"y" = 2sqrt(x - "vt")`


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