Question
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 )
BITSAT
Physics
Thermal Properties of Matter
2024
BITSAT 2024 (Memory Based Paper 2)
BITSAT Physics Question (2024) — Solution
Options
- A. 2.4 10^6 ~cm ^3
- B. 1.2 10^5 ~cm ^3
- C. 6.0 10^4 ~cm ^3
- D. 4.8 10^5 ~cm ^3
Answer
B. 1.2 10^5 ~cm ^3
Step-by-step solution
We have V=V_0 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
Related: Physics — Thermal Properties of Matter · All PYQ Banks