A metal wire is clamped between two vertical walls. At 20°C the unstrained length of the wire is exactly equal to the separation between walls. If the temperature of the wire is decreased the graph between fundamental frequency (f ) and temperature (T) of the wire is:
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Question

A metal wire is clamped between two vertical walls. At 20°C the unstrained length of the wire is exactly equal to the separation between walls. If the temperature of the wire is decreased the graph between fundamental frequency (f ) and temperature (T) of the wire is:

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G1 Physics · Accepted Answer

Step 1: Cooling a constrained wire produces tensile stress σ = YαΔT. Step 2: String-wave speed is v = √(σ/ρ), and the resonance condition fixes the allowed harmonic. Step 3: Insert the given Y, α, ρ and temperature change. Final: A: Image 1.