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JEE Main20199 Apr 2019Evening ShiftPhysicsKinetic Theory of GasesActual

A massless spring k = 800   N / m , attached with a mass 500   g is completely immersed in 1 k g of water. The spring is stretched by 2 c m and released so that it starts vibrating. What would be the order of magnitude of the change in the temperature of water when the vibrations stop completely? (Assume that the water container and spring receive negligible heat and specific heat of mass = 400 J / k g K

Options

  1. A10 - 5 K
  2. B10 - 1 K
  3. C10 - 3 K
  4. D10 - 4 K

Correct answer

A. 10 - 5 K

Step-by-step solution

According to the law of conservation of energy, 1 2 k x 2 = m 1 s 1 + m 2 s 2 × Δ T ⇒ Δ T = 1 2 × 800 × 2 × 10 - 2 2 0.5 × 400 + 1 × 4184 = 16 × 10 - 2 4384 = 3.65 × 10 - 5

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