COMEDK2024PhysicsThermal Properties of Matter
If the coefficient of volume expansion of brass is 6 10⁻⁵ ^ C ⁻¹ , then fractional change in its density for a 60^ C rise in temperature will be
Options
- A2 10⁻⁶
- B10⁻⁶
- C3.6 10⁻⁵
- D-3.6 10⁻³
Correct answer
D. -3.6 10⁻³
Step-by-step solution
Density at temperature T is given by aligned & = ₀(1- T) & = ₀- ₀ T - ₀ ₀ & =- T aligned Fractional change in density, aligned & ₀ =- T=-6 10⁻⁵ 60 & ₀ =-3.6 10⁻³ aligned Note: Negative sign indicates that density decreases with rise in temperature.