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An electric geyser is rated as $1500 W$ and $250 V$ which is connected in $250 V$ line, if geyser is operated for $50 h ours$ and $1 unit$ costs $₹ 6$ then the cost of energy is ₹ [[1]].

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Detailed Solution

If an electric geyser is rated

1500 W

and

250 V

is connected in

250 V

line and operated for

50 h ours

and cost of

1 unit

₹ 6

, then the cost of energy is ₹

450

.
It is given that the rating of the geyser is

1500 W - 250 V

and it is connected in

250 V

line for the time

t = 50 h r

It is known that the energy consumption

(E)

is equal to

E = P \times t

Where

P, t

is the power and the time respectively.
On substituting the given values, we get

E = 1500 \times 50

\Rightarrow E = 75000 W h

\Rightarrow E = 75 kW h

Since,

1 unit

1 kW h

and therefore energy consumed is equal to

E = 75 units

Hence, the energy consumed by geyser is

75 unit

s.
The energy consumed by geyser is

75 unit

and hence the cost of energy

(C)

is equal to

C = 75 \times 6 = ₹ 450

Therefore, the cost of energy is

₹ 450

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