Physics · 2021
JEE Main · 24 February 2021, Shift 1 · Q6
Each side of a box made of metal sheet in cubic shape is 'a' at room temperature ' T ', the coefficient of linear expansion of the metal sheet is ' α…
Each side of a box made of metal sheet in cubic shape is 'a' at room temperature ' T ', the coefficient of linear expansion of the metal sheet is ' $\displaystyle \alpha$ '. The metal sheet is heated uniformly, by a small temperature $\displaystyle \Delta \mathrm{T}$, so that its new temperature is $\displaystyle \mathrm{T}+\Delta \mathrm{T}$. Calculate the increase in the volume of the metal box.
Official answer
(4)
$\displaystyle 3 \mathrm{a}^3 \alpha \Delta \mathrm{~T}$
More from Thermal Expansion and Calorimetry
- A gas based geyser heats water flowing at the rate of 5.0 litres per minute from 27^° C to 87^° C. The rate of consumption of the gas is ____ g/s.…2026
- The height of victoria falls is 63 m. What is the difference in temperature of water at the top and at the bottom of fall? [Given 1 cal=4.2 J and…2021
- M grams of steam at 100^° C is mixed with 200 g of ice at its melting point in a thermally insulated container. If it produces liquid water at 40°C…2020
- A bullet of mass 5 g, travelling with a speed of 210 m / s, strikes a fixed wooden target. One half of its kinetic energy is converted into heat in…2020
- The temperature of equal masses of three different liquids x, y and z are 10^° C, 20^° C and 30^° C respectively. The temperature of mixture when x…2021
- The pressure of the gas in a constant volume gas thermometer is 100 cm of mercury when placed in melting ice at 1 atm. When the bulb is placed in a…2022
- Water falls from a height of 200 m into a pool. Calculate the rise in temperature of the water assuming no heat dissipation from the water in the…2025
- Two different metal bodies A and B of equal mass are heated at a uniform rate under similar conditions. The variation of temperature of the bodies is…2021
JEE Main 2021 Physics question, with the answer from NTA’s final answer key. Where our answers come from.