NCERT Solutions for Class 8 Science Chapter 13
Important NCERT Questions
8th Chapter 13 Sound
NCERT Books for Session 2022-2023
CBSE Board and State Board
Questions No: 5
A pendulum oscillates 40 times in 4 seconds. Find its time period and frequency.
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๐๐๐๐ ๐๐๐๐๐๐= ๐๐๐๐ ๐ก๐๐๐๐/ ๐๐ข๐๐๐๐ ๐๐ ๐๐ ๐๐๐๐๐๐ก๐๐๐๐ = 4/40 = 0.1 ๐ ๐๐๐๐๐๐
๐น๐๐๐๐ข๐๐๐๐ฆ= ๐๐ข๐๐๐๐ ๐๐ ๐๐ ๐๐๐๐๐๐ก๐๐๐๐ / ๐๐๐๐ ๐ก๐๐๐๐ = 40/4 = 10 ๐ป๐ง
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The time period of a pendulum, denoting the duration for one complete oscillation, is calculated using the formula:
Time Period = (Total time taken)/(Number of oscillations)
Given:
Total time taken = 4 seconds
Number of oscillations = 40
Using the formula:
Time Period = (4 seconds)/(40) = 0.1 seconds
Thus, the time period of the pendulum is 0.1 seconds.
The frequency, indicating the number of oscillations per second, is calculated as:
Frequency = 1/(Time Period)
Substituting the calculated time period:
Frequency = 1/(0.1 seconds) = 10Hz
Hence, the frequency of the pendulum is 10 Hertz, signifying it completes 10 oscillations in one second.