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How much electrical energy consume if a $100 W$ lamp is used for $1 second$ and $1 minute$ , respectively?

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100 J

and

6000 J

130 J

and

4000 J

210 J

and

4000 J

100 J

and

2030 J

answer is A.

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Detailed Solution

If a

100 W

lamp is used for

1 second

and

1 minute

it consumes

100 J

and

6000 J

.
Given,
Power

P = 100 W

We have to convert Watt into kilowatt so,
Power

P =

\frac{100}{1000} kW

Power

P = 0.1 kW

Now,
For

t = 1

second,
Electrical energy consumed;
Energy E

= Power \times time

\Rightarrow E = \frac{0.1 kW \times 1 h}{3600}

(since

1 second = \frac{1}{3600} hours

)

\Rightarrow E =

\frac{0.1 \times 3600000}{3600} J

(

since

1 kWh = 3.6 \times 1 0^{6} J)

\Rightarrow E = 100 J

Now for

t = 1

minute
Energy E

= Power \times time

\Rightarrow E = \frac{0.1 kW \times 60 h}{3600}

\Rightarrow E = \frac{0.1 \times 60 \times 3.6 \times 1 0^{6}}{3600}

(

since

1 kWh = 3.6 \times 1 0^{6} J)

\Rightarrow E = 6000 J

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