CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2009

  • question_answer
    A heater of 220 V heats a volume of water in 5 min. The same heater when connected to 110 V heats the same volume of water in (minute)

    A)  5                            

    B)         20

    C)  10                         

    D)         2.5

    E)  1.25

    Correct Answer: B

    Solution :

    Heat produced by the heater \[H=\frac{{{V}^{2}}}{R}\times t\] For 220 V heater heat produced \[{{H}_{1}}=\frac{{{(220)}^{2}}}{R}\times 5\] For 110 V heater                 \[{{H}_{2}}=\frac{{{(110)}^{2}}}{R}\times t\] Now,       \[{{H}_{1}}={{H}_{2}}\]                 \[\frac{110\times 110}{R}\times t=\frac{220\times 225\times 5}{R}\] \[t=20\text{ }min\]


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