BITSAT2024PhysicsThermal Properties of MatterActual
A solid metallic cube having total surface area 24 ~m ^2 is uniformly heated. If its temperature is increased by 10^ C , calculate the increase in volume of the cube. ( . Given : . =5.0 10⁻⁴ ^ C ⁻¹ )
Options
- A2.4 10^6 ~cm ^3
- B1.2 10^5 ~cm ^3
- C6.0 10^4 ~cm ^3
- D4.8 10^5 ~cm ^3
Correct answer
B. 1.2 10^5 ~cm ^3
Step-by-step solution
We have V=V₀ T V=a^3,(3 ) T Now, 6 a^2=24 [ Total surface area of cube .=6 a^2 ] a^2=4 a=2 So, V=2^3 (3 5 10⁻⁴ ) 10=1200 10⁻⁴ ~m ^3=1200 10^2 ~cm ^3=1.2 10^5 ~cm ^3