JEE Main 2016PhysicsThermal Properties of MatterMediumMCQ

JEE Main 2016 — Thermal Properties of Matter Question with Solution

JEE Main 2016 (03 Apr)

Question

A pendulum clock loses 12 s a day if the temperature is 40o C and gains 4s a day if the temperature is 20o C. The temperature at which the clock will show correct time, and the co-efficient of linear expansion α of the metal of the pendulum shaft are respectively:

Choose an option

Show full solutionCorrect option: C
Correct answer
C25oC;α=1.85×10-5 / oC

Step-by-step explanation

∆TT=12∆ll=12α∆θ 

124=40-θθ-20

3θ-60=40-θ

4θ=100

θ=25oC

Also,∆T=12α ∆θ×T

4=12α 5×86400 

85×86400=α 

α=1.85×10-5  /oC  

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About this question

This is a previous-year question from JEE Main 2016, covering the Thermal Properties of Matter chapter of Physics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.