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Following Figure Shows Two Wave Pulses at T = 0 Travelling on a String in Opposite Directions with the Same - Physics

Sum

Following figure shows two wave pulses at t = 0 travelling on a string in opposite directions with the same wave speed 50 cm s−1. Sketch the shape of the string at t = 4 ms, 6 ms, 8 ms, and 12 ms.

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Solution


Given,
Speed of the wave pulse travelling in the opposite direction, v = 50 cm s−1 = 500 mm s−1
Distances travelled by the pulses:
Using s = vt, we get:

\[In  t = 4  ms = 4 \times  {10}^{- 3}   s, \] 

\[s = \nu t = 500 \times 4 \times  {10}^{- 3}  = 2  mm . \] 

\[In  t = 6  ms = 6 \times  {10}^{- 3}   s, \] 

\[s = 500 \times 6 \times  {10}^{- 3}  = 3  mm . \] 

\[In  t = 8  ms = 8 \times  {10}^{- 3}   s, \] 

\[s = \nu t = 500 \times 8 \times  {10}^{- 3}  =   4  mm . \] 

\[In  t = 12  ms = 12 \times  {10}^{- 3}   s, \] 

\[s = 500 \times 12 \times  {10}^{- 3}  = 6  mm .\]
The shapes of the string at different times are shown in the above.

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APPEARS IN

HC Verma Class 11, 12 Concepts of Physics 1
Chapter 15 Wave Motion and Waves on a String
Q 32 | Page 325
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