If the length of a simple pendulum is quadrupled (increased by a factor of 4), what happens to its time period?
A. It quadruples.
B. It is halved.
C. It remains unchanged.
D. It doubles.
Answer: Option D
Solution (By JKSSB Mock Tests)
The time period of a simple pendulum is given by T = 2π√(L/g), where L is the length of the string and g is acceleration due to gravity. The time period is directly proportional to the square root of the length (T ∝ √L). If L becomes 4L, the new time period T' = √4 = 2 times the original. It doubles.
Explanation:
A transformer operates on the principle of mutual induction. It consists of primary and secondary coils. When an alternating current flows through the primary coil, it generates a changing magnetic field. This fluctuating flux links with the secondary coil, inducing an alternating electromotive force (EMF) in it according to Faraday's Law.
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