JEE Main 2022 · 29 Jun · Shift 2 · Physics Q32

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PhysicsSingle correct+4 / -1Question 32 of 90

At what temperature a gold ring of diameter 6.230 cm be heated so that it can be fitted on a wooden bangle of diameter 6.241 cm ? Both the diameters have been measured at room temperature (27°C).

(Given: coefficient of linear thermal expansion of gold $\alpha_L=1.4\times10^{-5}$ K $^{-1}$ )

125.7°C

91.7°C

425.7°C

152.7°C

Answer and worked solution

Official answer: D

Expansion. $\Delta T=\dfrac{\Delta D}{D\alpha}=\dfrac{0.011}{6.230\times1.4\times10^{-5}}\approx126$ K.

Temperature $27+126\approx153$ °C, closest to 152.7 °C.

(D)

Topics:Temperature and thermal expansion

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JEE Main 2022 · 29 Jun · Shift 2, Physics question 32