In standard AC household supply in India, the frequency of the alternating current is 50 Hz. How many times per second does the current change its direction? MCQ with Answer and Explanation
In standard AC household supply in India, the frequency of the alternating current is 50 Hz. How many times per second does the current change its direction?
A. 100 times
B. 0 times
C. 50 times
D. 25 times
Answer: Option A
Solution (By JKExamLibrary)
A frequency of 50 Hz means there are 50 complete wave cycles per second. A single complete sinusoidal cycle consists of one positive half-cycle and one negative half-cycle. Therefore, the current reaches zero and reverses its direction exactly twice during each complete cycle. For 50 cycles, the current changes direction 50 * 2 = 100 times per second.
Explanation:
Elastic PE: U = ½kx² ⇒ k = 2U/x². x = 3 cm = 0.03 m. k = 2×18/(0.03)² = 36/0.0009 = 40000 N/m. Unit conversion critical: cm to m. Memory aid: 'k = 2U/x²; always use SI units'. Tests spring energy formula application with unit conversion, frequently appearing in competitive exams.
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