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A massless spring (k=800 N/m), attached with a mass (500g) is completely immersed in 1kg of water. The spring is stretched by 2 cm 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/kg K, specific heat of water=4184 J/kg K)

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$10^{- 3} K$

$10^{- 4} K$

$10^{- 1} K$

$10^{- 5} K$

answer is D.

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Detailed Solution

According to Joule's law,

$\frac{1}{2} k x^{2} = J [m s Δ t + M s Δ t]$

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