Join the Most Relevant JEE Main 2025 Test Series & get 99+ percentile! Join Now
Search any question & find its solution
Question: Answered & Verified by Expert
A massless spring k=800N/m, attached with a mass 500g is completely immersed in 1 kg 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 =4184J/kgK )
PhysicsKinetic Theory of GasesJEE MainJEE Main 2019 (09 Apr Shift 2)
Options:
  • A 10-5 K
  • B 10-1 K
  • C 10-3 K
  • D 10-4 K
Solution:
1659 Upvotes Verified Answer
The correct answer is: 10-5 K
According to the law of conservation of energy,
12kx2=m1s1+m2s2×ΔT
ΔT=12×800×2×10-220.5×400+1×4184=16×10-24384 =3.65×10-5

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.