RAJASTHAN PMT Rajasthan - PMT Solved Paper-2003

  • question_answer
    At which temperature the Fahrenheit and Celcius scale give equal readings?

    A) \[40{}^\circ \]                                   

    B) \[37{}^\circ \]

    C) \[-40{}^\circ \]                  

    D)        \[80{}^\circ \]

    Correct Answer: A

    Solution :

    Celcius temperature (\[C\]) and Fahrenheit temperature (\[F\]) are related as \[\frac{C-0}{100}=\frac{F-32}{180}\] \[\Rightarrow \]               \[\frac{C}{5}=\frac{F-32}{9}\] Putting      \[C=F=\] we get \[\therefore \]  \[\frac{}{5}=\frac{-32}{9}\] or            \[9\,\text{=5}-160\] \[\Rightarrow \]               \[4\theta \,\text{=}\,-\text{160}\] \[\Rightarrow \]               \[\theta \,\text{=-}\,\text{40}{}^\circ \] \[\therefore \]  \[-40{}^\circ C=-40{}^\circ F\]


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