Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • The temperature at the junction of two insulting sheets, having thermal resistances and

The temperature \theta at the junction of two insulting sheets, having thermal resistances R_{1} and R_{2} as well as top and bottom temperatures \theta_{1}\; and \; \theta_{2} (as shown in figure) is given by :
 
Option: 1 b'\\frac{\\theta _{1}R_{2}+\\theta _{2}R_{1}}{R_{1}+R_{2}}'
Option: 2 b'\\frac{\\theta _{1}R_{2}-\\theta _{2}R_{1}}{R_{1}-R_{2}}'
Option: 3 b'\\frac{\\theta _{2}R_{2}-\\theta _{1}R_{1}}{R_{2}-R_{1}}\r\n\r\n '
Option: 4 b'\\frac{\\theta _{1}R_{1}+\\theta _{2}R_{2}}{R_{1}+R_{2}}'

Answers (1)

best_answer

\begin{aligned} &\text { Heat flow rate will be same through both }\\ &\therefore \frac{\theta_{1}-\theta}{\mathrm{R}_{1}}=\frac{\theta-\theta_{2}}{\mathrm{R}_{2}}\\ &\mathrm{R}_{2} \theta_{1}-\mathrm{R}_{2} \theta=\mathrm{R}_{1} \theta-\mathrm{R}_{1} \theta_{2}\\ &\theta=\frac{\mathrm{R}_{2} \theta_{1}+\mathrm{R}_{1} \theta_{2}}{\mathrm{R}_{1}+\mathrm{R}_{2}} \end{aligned}

Posted by

Deependra Verma

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

JEE Main 2025 response sheet errors: Delhi HC allows student to apply for JEE Adv, seeks NTA explanation
anam-khan

Four Kashmiri girls defy the odds, score 99+ percentile in JEE Main 2025
anam-khan

JEE, NEET, CUET coaching centres: Assam, Rajasthan have framed laws, but will they work?

Latest Question