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Wave Motion and Waves on a String — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysicsWave Motion and Waves on a String3 Marks
Question
Figure shows two wave pulses at t = 0 travelling on a string in opposite directions with the same

wave speed 50cm/s. Sketch the shape of the string at t = 4ms, 6ms, 8ms, and 12ms.
✓

Answer

The distance travelled by the pulses are shown below.
$\mathrm{t}=4 \mathrm{~ms}=4 \times 10^{-3} \mathrm{~s}, \mathrm{~s}=\mathrm{vt}=50 \times 10 \times 4 \times 10^{-3}=2 \mathrm{~mm}$
$\mathrm{t}=8 \mathrm{~ms}=8 \times 10^{-3} \mathrm{~s}, \mathrm{~s}=\mathrm{vt}=50 \times 10 \times 8 \times 10^{-3}=4 \mathrm{~mm}$
$\mathrm{t}=6 \mathrm{~ms}=6 \times 10^{-3} \mathrm{~s}, \mathrm{~s}=3 \mathrm{~mm}$
$\mathrm{t}=12 \mathrm{~ms}=12 \times 10^{-3} \mathrm{~s}, \mathrm{~s}=50 \times 10 \times 12 \times 10^{-3}=6 \mathrm{~mm}$
The shape of the string at different times are shown in the figure.

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