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How much energy will be spent in $15$ minutes in a $5 K W$ electric heater.

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1.5 × 106 J

2.5 × 106 J

3.5 × 106 J

4.5 × 106 J

answer is D.

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Detailed Solution

Concept- Establish a relationship between Power , energy and time .
We have ,
i - Time taken by the electric heater ,

t = 15 m i n u t e s

.
ii- Power of heater ,

P = 5 K W

As we need answers in joules so we need to convert the units of power and time in Joules / sec and second respectively.

t = 15 m i n = 15 × 60 s e c = 900 s e c

P = 5 K W = . 5 × 1000 J / s . = 5000 J / s

Now we have relationship between Energy , Power and time :-
Energy = Power × time

E n e r g y = 5000 × 900

E n e r g y = 4.5 × 10 6. J

Hence, the correct option is 4)

4.5 × 106 J

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