Concepts Of Physics MCQ Edition [Volume 1]PhysicsSimple Harmonic Motion
A wall clock measures time using a vertical spring-mass system. The clock advances by one second each time the mass reaches an extreme position. At the equator, the clock provides the correct time. If this clock is transported to the poles, it will
Options
- Astop working
- Bgive correct time
- Crun slow
- Drun fast
Correct answer
B. give correct time
Step-by-step solution
The time period of a vertical spring-mass system is given by T = 2 m k . The time period depends only on the mass m and the spring constant k , and is independent of the acceleration due to gravity g . When the clock is transported from the equator to the poles, the value of g increases, but the mass m and the spring constant k remain constant. Since the time period T does not depend on g , the clock will continue to operate with the exact same time period. Therefore, the clock will give the correct time at the pol