Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JIPMER 2016
Exam
JIPMER
Year
2016
Subject
Physics
Chapter
Thermal Properties of Matter

JIPMER 2016 · Physics · Thermal Properties of Matter

A metal rod at a temperature of 145^ C , radiates energy at a rate...

A metal rod at a temperature of 145∘C145^{\circ} \mathrm{C}, radiates energy at a rate of 17 W . If its temperature is increased to 273∘C273^{\circ} \mathrm{C}, then it will radiate at the rate of

Options

  1. A49.6 W
  2. B17.5 W
  3. C50.3 W
  4. D67.5 W

Correct answer

A. 49.6 W

Step-by-step solution

Given, initial temperature of metal rod⁡(T1)=145∘C=418 K\operatorname{rod}\left(T_1\right)=145^{\circ} \mathrm{C}=418 \mathrm{~K} Rate of radiated energy (E1)=17 W\left(E_1\right)=17 \mathrm{~W} Final temperature (T2)=273∘C=273+273=546 K\left(T_2\right)=273^{\circ} \mathrm{C}=273+273=546 \mathrm{~K} We know, from the Stefan's law, E∝T4E \propto T^4 or E1E2=(T1T2)4=(418546)4∴E1E2=0.343\begin{aligned} & \text{ or } \quad \frac{E_1}{E_2}=\left(\frac{T_1}{T_2}\right)^4=\left(\frac{418}{546}\right)^4 \\ & \therefore \quad \frac{E_1}{E_2}=0.343 \\ & \end{aligned}$Therefore,finalradiatedenergy,Therefore, final radiated energy,E_2=\frac{E_1}{0.343}=\frac{17}{0.343}=49.6 \mathrm{~W}$
Practice Thermal Properties of Matter on Quantrex Academy →

More from Thermal Properties of Matter

A cylindrical rod with one end in a steam chamber and the other end in ice results in… MHT CET Medical 2026A spherical blackbody of radius 10\ m is maintained at a temperature T , radiating power… MHT CET Medical 2026The rectangular surface area (12\ cm×6\ cm) of the black body, at a temperature 127^ ^ ∘… MHT CET Medical 2026A metal sphere cools at a rate of 2^ ^ ∘ C/min when the temperature is 80^ ^ ∘ C . If the… MHT CET Medical 2026A resistance thermometer has resistance 95\ Ω at the ice point and 140\ Ω at the steam… MHT CET Medical 2026A metal sphere cools from 80^ ^ ∘ C to 60^ ^ ∘ C in 10 minute. The time taken (in minute)… MHT CET Medical 2026If the temperature of 5 kg mass of a material of a specific heat capacity 200 J/kg ^ ^ ∘… MHT CET Medical 2026The initial temperature of a body is 80^ ^ ∘ C . If its temperature falls to 64^ ^ ∘ C in… MHT CET Medical 2026 Full Thermal Properties of Matter list All JIPMER PYQs