At what temperature a gold ring of diameter 6.230 cm be heated so… | JEE Main 2022 (29 Jun, Shift 2)

Q43JEE Main 2022 · 29 JUN · SHIFT 2Medium

Thermometry & Thermal Expansion

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 $^\circ$ C).

(Given: coefficient of linear thermal expansion of gold $\alpha$ L = 1.4 $\times$ 10 $-$ 5 K ${}^{-1}$ )

Show answer and solution

Answer: (d)

Ring diameter must grow by $\Delta D = 6.241 - 6.230 = 0.011$ cm.
$\Delta T = \dfrac{\Delta D}{D\alpha} = \dfrac{0.011}{6.230 \times 1.4\times10^{-5}} \approx 126$ K
$T = 27 + 126 \approx 153^\circ\text{C}$
So the answer is (d) $152.7^\circ\text{C}$ .

Report a mistake

More questions on Thermometry & Thermal Expansion

A solid metallic cube having total surface area 24 m2 is uniformly heated. If its…JEE Main 2022 (25 Jun, Shift 2)
A unit scale is to be prepared whose length does not change with temperature and remains…JEE Main 2022 (25 Jul, Shift 1)
Find the value of - 197 ° C temperature in Kelvin.MHT CET 2021 (21 Sep, Shift 1)
On an imaginary linear scale of temperature (called 'W' scale) the freezing and boiling…MHT CET 2021 (20 Sep, Shift 1)
A bimetallic strip consists of metals A and B. It is mounted rigidly as shown. The metal…JEE Main 2021 (16 Mar, Shift 2)
Given below are two statements: one is labelled as Assertion A and the other is labelled…JEE Main 2021 (25 Feb, Shift 1)
Two rods of different metals have coefficients of linear expansion ' α₁ ' and ' α₂ '…MHT CET 2021 (23 Sep, Shift 1)
Let ' W₁ ' be the work done in blowing a soap bubble of radius ' r ' from soap at room…MHT CET 2021 (22 Sep, Shift 1)

Thermometry & Thermal Expansion question from JEE Main 2022 (29 Jun, Shift 2)

More questions on Thermometry & Thermal Expansion