Work Energy And Power Question 179

Question: A 12 HP motor has to be operated 8 hours/day. How much will it cost at the rate of 50 paisa/kWh in 10 days

Options:

A) Rs. 350/-

B) Rs. 358/-

C) Rs. 375/-

D) Rs. 397/-

Show Answer

Answer:

Correct Answer: B

Solution:

If a motor of 12 HP works for 10 days at the rate of 8 hr/day then energy consumption = power × time = $ 12\times 746\frac{J}{\sec }\times (80\times 60\times 60)\ \sec $

$ =12\times 746\times 80\times 60\times 60\ J $ = 2.5 × 109 J

Rate of energy = $ 50\frac{paisa}{kWh} $ i.e. $ 3.6\times 10^{6}J $

energy cost 0.5 Rs So 2.5 × 109 J

energy cost = $ \frac{2.5\times 10^{9}}{2\times 3.6\times 10^{6}}=358\ Rs $



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