At which of the following places, motion of simple pendulum becomes slowest:
Correct answer: C. K-2
- A. Murree
- B. Karachi
- C. K-2
- D. Peshawar
Explanation
At higher altitudes, the value of g decreases slightly compared to its value at sea level. This is because the acceleration due to gravity is inversely proportional to the square of the distance from the center of the Earth. As you move farther from the Earth's surface (increasing in altitude), the value of g decreases.If we consider the effect of altitude on the time period of a pendulum, the decrease in g at higher altitudes will result in a longer time period. This is because the expression √l/g in the formula for T will have a larger denominator, making the square root term larger and, consequently, increasing the overall time period.In summary, at higher altitudes where the acceleration due to gravity is slightly lower, the time period of a simple pendulum tends to be longer compared to that at lower altitudes. However, the effect is generally small unless the altitude is significantly high or the precision of the measurement is extremely accurate.
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About Simple Harmonic Motion
Simple harmonic motion is oscillation in which acceleration is directly proportional to displacement and directed toward the equilibrium position. Work includes displacement, velocity, acceleration, phase, period, frequency, amplitude and energy, with applications to springs and simple pendulums. The restoring force and the conditions for SHM distinguish it from general periodic motion.
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