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One unit of electricity is consumed by
A : P = 40 W bulb used for t = 25 hours
B : P = 20 W bulb used for t = 50 hours
Both A and B are true as, energy E in kWh is best related as
  • a)
    E = Pt
  • b)
    E = Pt/1000
  • c)
    E = P/1000
  • d)
    E = t/1000
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
One unit of electricity is consumed byA : P = 40 W bulb used for t = 2...
To determine the energy consumed by each bulb, we can use the formula:

E = Pt

where E represents the energy consumed in kilowatt-hours (kWh), P represents the power of the bulb in watts (W), and t represents the time the bulb is used in hours.

Let's calculate the energy consumed by bulb A first:

Given:
P = 40 W
t = 25 hours

Substituting these values into the formula, we get:

E = 40 W * 25 hours = 1000 Wh

Since 1 kilowatt-hour (kWh) is equal to 1000 watt-hours (Wh), we can convert 1000 Wh to kWh:

E = 1000 Wh / 1000 = 1 kWh

Therefore, bulb A consumes 1 unit of electricity or 1 kWh.

Now let's calculate the energy consumed by bulb B:

Given:
P = 20 W
t = 50 hours

Substituting these values into the formula, we get:

E = 20 W * 50 hours = 1000 Wh

Again, converting 1000 Wh to kWh:

E = 1000 Wh / 1000 = 1 kWh

Therefore, bulb B also consumes 1 unit of electricity or 1 kWh.

Hence, both statements A and B are true.

The correct relation between energy (E), power (P), and time (t) is given by the formula:

E = Pt/1000

This formula takes into account that the power is given in watts and the time is given in hours. Since the unit of energy consumed is kilowatt-hours (kWh), we divide the product of power and time by 1000 to convert from watt-hours to kilowatt-hours.

Overall, the formula E = Pt/1000 accurately represents the relationship between energy, power, and time when calculating the energy consumed by an electrical device.
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Community Answer
One unit of electricity is consumed byA : P = 40 W bulb used for t = 2...
  • In the given question, P is given in Watt and we have to calculate E in kWh. So,  we have to convert watt into kW. For this, we divide Pt by 1000.
  • Therefore, E = Pt / 1000  is the correct answer.
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One unit of electricity is consumed byA : P = 40 W bulb used for t = 25 hoursB : P = 20 W bulb used for t = 50 hoursBoth A and B are true as, energy E in kWh is best related asa)E = Ptb)E = Pt/1000c)E = P/1000d)E = t/1000Correct answer is option 'B'. Can you explain this answer?
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