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A 100 W lamp is used for 6 hours daily for 30 days. Calculate the total energy consumed in kilowatt-hours (kWh) and choose the correct option.

Physics

ScanSolve AI Answer

Answer

B\text{B}

Step-by-step solution

3 steps
  1. Calculate the total time the lamp is used.

    The lamp is used for 6 hours daily for 30 days.

    Total time=Daily usage×Number of days\text{Total time} = \text{Daily usage} \times \text{Number of days} Total time=6 hours/day×30 days=180 hours\text{Total time} = 6 \text{ hours/day} \times 30 \text{ days} = 180 \text{ hours}
  2. Calculate the total energy consumed in Watt-hours (Wh).

    The power of the lamp is 100 W.

    Energy consumed=Power×Total time\text{Energy consumed} = \text{Power} \times \text{Total time} Energy consumed=100 W×180 hours=18000 Wh\text{Energy consumed} = 100 \text{ W} \times 180 \text{ hours} = 18000 \text{ Wh}
  3. Convert the energy consumed from Watt-hours (Wh) to kilowatt-hours (kWh).

    Since 1 kWh=1000 Wh1 \text{ kWh} = 1000 \text{ Wh}:

    Energy consumed in kWh=18000 Wh1000 Wh/kWh\text{Energy consumed in kWh} = \frac{18000 \text{ Wh}}{1000 \text{ Wh/kWh}} Energy consumed in kWh=18 kWh\text{Energy consumed in kWh} = 18 \text{ kWh}

    Comparing this result with the given options:
    [A] 18 kJ
    [B] 18 kWh
    [C] 1.8 J
    [D] इनमें से कोई नहीं (None of these)

    The calculated energy matches option [B].

    The final answer is B\text{B}.

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