Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main 202225 JuneEvening Shift
Exam
JEE Main
Year
2022
Date
25 June
Shift
Evening Shift
Subject
Physics
Chapter
Thermal Properties of Matter

JEE Main 2022 · 25 June · Evening Shift · Physics · Thermal Properties of Matter

A solid metallic cube having total surface area 24 m ^ 2 is...

A solid metallic cube having total surface area 24m224{m}^{2} is uniformly heated. If its temperature is increased by 10°C10 ° C, calculate the increase in volume of the cube. (Given α=5.0×10−4C∘−1\alpha = 5 . 0 \times {10}^{- 4}{C ∘}^{- 1}).

Options

  1. A2.4×106cm32 . 4 \times {10}^{6}{cm}^{3}
  2. B1.2×105cm31 . 2 \times {10}^{5}{cm}^{3}
  3. C6×104cm36 \times {10}^{4}{cm}^{3}
  4. D4.8×105cm34 . 8 \times {10}^{5}{cm}^{3}

Correct answer

B. 1.2×105cm31 . 2 \times {10}^{5}{cm}^{3}

Step-by-step solution

Total surface area of a cube is& 6a2=24m2⇒a2=46a^{2} = 24m^{2}⇒ a^{2} = 4~⇒a=2m⇒ a = 2m

Volume of a cube~V=a3=8m3V = a^{3} = 8m^{3}

Change in volume is given by,~

ΔV=V0γΔT\Delta V = {V}_{0}\gamma\Delta T,~where γ=3α\gamma = 3\alpha

ΔV=[8]×[1.5×10−4]×[10]m3⇒ΔV=1.2×105cm3\Delta V = \left[8\right] \times \left[1 . 5 \times {10}^{- 4}\right] \times \left[10\right]m^{3}⇒ \Delta V = 1 . 2 \times {10}^{5}{cm}^{3}

Practice Thermal Properties of Matter on Quantrex Academy →

More from Thermal Properties of Matter

As shown in the figure, an insulated container is fitted with a thermally conducting but… JEE Advanced 2026The heat extracted out of x gram of water initially at 50°C to cool it down to 0°C is… JEE Main 2026The temperature of a metal strip having coefficient of linear expansion α is increased… JEE Main 2026Which of the following best represents the temperature versus heat supplied graph for… JEE Main 202610 kg of ice at -10^ ∘ C is added to 100 kg of water to lower its temperature from 25 ^ ∘… JEE Main 2026A brass wire of length 2 m and radius 1 mm at 27^ ∘ C is held taut between two rigid… JEE Main 2026Rods x and y of equal dimensions but of different materials are joined as shown in… JEE Main 2026An aluminium and steel rods having same lengths and cross-sections are joined to make… JEE Main 2026 Full Thermal Properties of Matter list All JEE Main PYQs