If the length of a simple pendulum is quadrupled (increased by a factor of 4), what happens to its time period? MCQ with Answer and Explanation

If the length of a simple pendulum is quadrupled (increased by a factor of 4), what happens to its time period?
A. It remains unchanged.
B. It doubles.
C. It is halved.
D. It quadruples.
Answer: Option B
Solution (By JKExamLibrary)
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.

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If a stone dropped from the top of a tower reaches the ground in 4 seconds, what is the approximate height of the tower? (Take g = 10 m/s²)
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Correct Answer: Option C


Explanation:
Using the second equation of motion for free fall: h = ut + ½gt². Since it is dropped, initial velocity (u) = 0. Time (t) = 4s, g = 10 m/s². The height h = 0 + ½(10)(4)² = 5 × 16 = 80 meters.

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A. Transformer
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Correct Answer: Option D


Explanation:
An electric iron contains a heating element (usually nichrome). When electric current passes through this high-resistance element, it produces heat according to Joule's law (H = I²Rt). An electric fan uses the magnetic effect (motor), a generator uses electromagnetic induction, and a transformer uses mutual induction.

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Correct Answer: Option C


Explanation:
According to Archimedes' principle, the floating ice displaces a volume of water equal to its own weight. When the ice melts, it transforms into a volume of water that is exactly equal to the volume of water it displaced while floating. Therefore, the water level remains unchanged.

This question belongs to: Science Physics