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10 grade science

The 1 kW is equal to:
A. 1000 watt
B. 10⁻³ megawatt
C. Both A and B
D. Neither A nor B

Profile image of Aniket Singh
1 Year agoGrade
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1 Answer

Profile image of Askiitians Tutor Team
1 Year ago

To solve the question, let us analyze the equivalence of 1 kW1 \, \text{kW} (kilowatt) in terms of other power units.
Step 1: Definition of kilowatt
The prefix "kilo" (kk) represents 103=100010^3 = 1000. Therefore:
1 kW=1000 W1 \, \text{kW} = 1000 \, \text{W}
Step 2: Relation to megawatt
The prefix "mega" (MM) represents 106=1,000,00010^6 = 1,000,000. To express 1 kW1 \, \text{kW} in megawatts:
1 kW=1000106 MW=10−3 MW1 \, \text{kW} = \frac{1000}{10^6} \, \text{MW} = 10^{-3} \, \text{MW}
Step 3: Verify the options
• Option A: 1 kW=1000 W1 \, \text{kW} = 1000 \, \text{W} is correct.
• Option B: 1 kW=10−3 MW1 \, \text{kW} = 10^{-3} \, \text{MW} is also correct.
• Option C: Both A and B are correct.
• Option D: Neither A nor B is incorrect.
Final Answer:
C. Both A and B