Concepts Of Physics MCQ Edition [Volume 1]
- Exam
- Concepts Of Physics MCQ Edition [Volume 1]
- Subject
- Physics
- Chapter
- Simple Harmonic Motion
Concepts Of Physics MCQ Edition [Volume 1] · Physics · Simple Harmonic Motion
A seconds pendulum is a pendulum having a time period equal to two...
A seconds pendulum is a pendulum having a time period equal to two seconds. These are the type utilized in pendulum clocks. Calculate the length of a seconds pendulum at a location where .
Options
- A
- B
- C
- D
Correct answer
B.
Step-by-step solution
The time period of a simple pendulum is given by .
For a seconds pendulum, the time period is .
Substituting g = \pi^2 \text{ m/s}^22 = 2\pi \sqrt{\dfrac{L}{\pi^2}}1 = \pi \left(\dfrac{\sqrt{L}}{\pi}\right)
\sqrt{L}
For a seconds pendulum, the time period is .
Substituting g = \pi^2 \text{ m/s}^22 = 2\pi \sqrt{\dfrac{L}{\pi^2}}1 = \pi \left(\dfrac{\sqrt{L}}{\pi}\right)
\sqrt{L}