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  4. It takes two seconds to heat water to boiling point using a 10 m length heater coil. What time will it take for the same using 5 m of heater coil connected to the same source:

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Q. It takes two seconds to heat water to boiling point using a 10 m length heater coil. What time will it take for the same using 5 m of heater coil connected to the same source:

JIPMERJIPMER 2002

Solution:

According to the question, if the length of the heater coil is reduced half, then the resistance also becomes half of the value $ \frac{{{E}^{2}}}{R}{{t}_{1}}=\frac{{{E}^{2}}}{R\text{/}2}{{t}_{2}}, $ here $ {{t}_{1}}=2\,\,\sec $ therefore $ {{t}_{2}}=1\,\,\sec $