JEE Main & Advanced Physics Transmission of Heat JEE PYQ-Transmission Of Heat

  • question_answer
    One kg of water, at \[20{}^\text{o}C,\]is heated in an electric kettle whose heating element has a mean (temperature averaged) resistance of \[20\Omega \]. The rms voltage in the mains is 200 V. Ignoring heat loss from the kettle, time taken for water to evaporate fully, is close to:
    [Specific heat of water \[=4200\text{ }J/kg\text{ }{}^\text{o}C\]),
    Latent heat of water = 2260 kJ/kg]                                                                       [JEE Main 12-4-2019 Afternoon]

    A)  3 minutes                     

    B)  22 minutes

    C)  10 minutes       

    D)       16 minutes

    Correct Answer: B

    Solution :

    [b] \[Q=P\times t\]
    \[Q=mc\Delta T+mL\]
    \[P=\frac{V_{rms}^{2}}{R}\]
    \[4200\times 80+2260\times {{10}^{3}}=\frac{{{(200)}^{2}}}{20}\times t\]
    \[t=1298\text{ }sec\]
    \[t\simeq 22\min \]


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