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14. waves and sound — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics14. waves and sound1 Mark
MCQ
A transverse wave travels on a taut steel wire with a velocity of ${v}$ when tension in it is $2.06 \times 10^{4} \;\mathrm{N} .$ When the tension is changed to $T$. the velocity changed to $\frac v2$. The value of $\mathrm{T}$ is close to
  • A
    $10.2 \times 10^{2} \;\mathrm{N}$
  • ✓
    $5.15 \times 10^{3}\; \mathrm{N}$
  • C
    $2.50 \times 10^{4}\; \mathrm{N}$
  • D
    $30.5 \times 10^{4}\; \mathrm{N}$
✓

Answer

Correct option: B.
$5.15 \times 10^{3}\; \mathrm{N}$
b
Velocity of transverse wave $\mathrm{V} \propto \sqrt{\mathrm{T}}$

$\mathrm{v} \rightarrow \frac{\mathrm{V}}{2} \Rightarrow \mathrm{T} \rightarrow \mathrm{T}^{\prime}=\frac{\mathrm{T}}{4}$

$\mathrm{T}^{\prime}=\frac{2.06 \times 10^{4}}{4}=5.15 \times 10^{3} \mathrm{N}$

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