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Q.

How much energy will be spent in 15 minutes by a 5KW electric heater?

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a

3.5 × 106J 

b

2.5 × 106J 

c

1.5 × 106J 

d

4.5 × 106J  

answer is D.

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Detailed Solution

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We have, 
Time taken by the electric heater, t = 15min. 
Power of heater, P = 5 KW.

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 min = 15 × 60 sec = 900 sec 
P= 5 KW = 5 × 1000 J/s = 5000 J / s 
Now we have the relationship between Energy, Power, and time:
Energy = Power × time 
Energy =5000× 900 
Energy =4.5 × 106J 
Hence, energy spent is 4.5 × 106J.

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