AP EAMCET · PHYSICS · Thermal Properties of Matter
A metallic wire with tension \(T\) and at temperature \(30^{\circ} \mathrm{C}\) vibrates with its fundamental frequency of \(1 \mathrm{kHz}\). The same wire with the same tension but at \(10^{\circ} \mathrm{C}\) temperature vibrates with a fundamental frequency of \(1.001 \mathrm{kHz}\). The coefficient of linear expansion of the wire is
- A \(2 \times 10^{-4} /{ }^{\circ} \mathrm{C}\)
- B \(1.5 \times 10^{-4} /{ }^{\circ} \mathrm{C}\)
- C \(1 \times 10^{-4} /{ }^{\circ} \mathrm{C}\)
- D \(0.5 \times 10^{-4} /{ }^{\circ} \mathrm{C}\)
Answer & Solution
Correct Answer
(D) \(0.5 \times 10^{-4} /{ }^{\circ} \mathrm{C}\)
Step-by-step Solution
Detailed explanation
Frequency of wire \(n=\frac{1}{2 l} \frac{\sqrt{T}}{m}\) \(m=\) mass per unit length In both the condition same wire is kept same tension. So,…
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