A massless spring (k=800 N/m), attached with a mass (500 g) is completely immersed in 1 kg of water. The spring is stretched by 2 cm and released so that it starts vibrating. What could be the order of magnitude of the change in the temperature of water when the vibrations stop completely? (Assume that the water container and the 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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(a) |
10−5 K |
(b) |
10−1 K |
(c) |
10−3 k |
(d) |
10−4 K |
A massless spring (k=800 N/m), attached with a mass (500 g) is completely immersed in 1 kg of water. The spring is stretched by 2 cm and released so that it starts vibrating. What could be the order of magnitude of the change in the temperature of water when the vibrations stop completely? (Assume that the water container and the spring receive negligible heat and specific heat of mass = 400 J/kg K, specific heat of water=4184 J/kg K) |
|||
(a) |
10−5 K |
(b) |
10−1 K |
(c) |
10−3 k |
(d) |
10−4 K |
k =E(dissipated)
∴ = J
= 400 +1 4184
⇒ =(200+4184)
∴ =3.6 K