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The energy absorbed by a solar panel is used to charge a battery. During the day, the battery stores $1.6 J$ energy each second. At night, the battery is used to light a $1.2 W$ lamp for $18000 s$ .

What is the minimum time for which the battery must be charged within the day?

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13505 s

13500 s

15300 s

13050 s

answer is B.

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Detailed Solution

The battery must be charged for

13500 s

within a day.
The battery lamp is

1.2 W

and the time for which the lamp is used is,

18000 s

. therefore the energy consumed by the lamp,

E = 1.2 \times 18000

⇨

E = 21600 J

The battery stores

1.6 J

energy each second and therefore the minimum time of charging the battery should be,

t = \frac{21600}{1.6} = 13500 s

The minimum time for which the battery should be charged is

13500 s

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