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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

  1. A2 10⁻⁶
  2. B10⁻⁶
  3. C3.6 10⁻⁵
  4. 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.

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