Question

A pendulum oscillates 50 times in 5 seconds. Calculate its time period and frequency.

• A. Time period = 0.1 second ; Frequency = 10 Hz
• B. Time period = 0.3 second ; Frequency = 30 Hz
• C. Time period = 0.2 second ; Frequency = 20 Hz
• D. Time period = 0.5 second ; Frequency = 50 Hz

Answer 1

The correct option is A Time period = 0.1 second ; Frequency = 10 Hz

• Time period is defined as the time required to complete one oscillation.
• Frequency is defined as the number of oscillations per second.

Given that:
No. of oscilation = 50
Time taken to complete 50 oscillations = 5 seconds
Therefore, time period can be calculated as:
$Timeperiod=\frac{Timetaken}{No.ofoscillations}=\frac{5}{50}=0.1Second$Also, Frequency is can be calculated as :
$Frequency=\frac{No.ofoscillations}{Timetaken}\frac{50}{5}=10Hz$