
State whether the given statement is true or false:
The SI unit of frequency is Hz(hertz).
A.True
B.False
Answer
586.2k+ views
Hint: To solve this question we must know what frequency means.
Frequency is defined as the number of oscillations/cycles completed per unit time in a periodic motion.
Hence, SI unit of frequency is given as $\dfrac{{{\text{cycles}}}}{{{\text{second}}}}$, which has also been named as hertz (on the name of a scientist).
Complete step by step answer:
Frequency: The number of oscillations or cycles completed per unit time in a periodic motion is called frequency.
So, for an example if we take a pendulum and oscillate it about its mean position A, then:
When the pendulum moves from $A \to B \to A \to C \to A$ then we say one oscillation is completed. If the pendulum takes $\dfrac{1}{2}$sec to complete one oscillation (which means time period is $\dfrac{1}{2}$sec), then 2 oscillations will be completed in 1sec or we can say its frequency is 2.
Hence, ${\text{Frequency = }}\dfrac{{\text{1}}}{{{\text{Time period}}}}$
The SI unit of frequency is $\dfrac{{{\text{cycles}}}}{{{\text{second}}}}$ or Hertz(on the name of a scientist).
Therefore, the given statement is true.
Note:
Frequency actually tells us how fast an object is oscillating. The frequency of a simple pendulum can be increased by reducing the length of the string attached to it or we can decrease its frequency by increasing the length of the thread attached to the pendulum.
Frequency is defined as the number of oscillations/cycles completed per unit time in a periodic motion.
Hence, SI unit of frequency is given as $\dfrac{{{\text{cycles}}}}{{{\text{second}}}}$, which has also been named as hertz (on the name of a scientist).
Complete step by step answer:
Frequency: The number of oscillations or cycles completed per unit time in a periodic motion is called frequency.
So, for an example if we take a pendulum and oscillate it about its mean position A, then:
When the pendulum moves from $A \to B \to A \to C \to A$ then we say one oscillation is completed. If the pendulum takes $\dfrac{1}{2}$sec to complete one oscillation (which means time period is $\dfrac{1}{2}$sec), then 2 oscillations will be completed in 1sec or we can say its frequency is 2.
Hence, ${\text{Frequency = }}\dfrac{{\text{1}}}{{{\text{Time period}}}}$
The SI unit of frequency is $\dfrac{{{\text{cycles}}}}{{{\text{second}}}}$ or Hertz(on the name of a scientist).
Therefore, the given statement is true.
Note:
Frequency actually tells us how fast an object is oscillating. The frequency of a simple pendulum can be increased by reducing the length of the string attached to it or we can decrease its frequency by increasing the length of the thread attached to the pendulum.
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