Answer
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Hint: Hertz is the unit of frequency. Frequency is the number of occurrences of a repeating event per unit of time. It is also associated with waves and is also used to define the energy of photons via their frequency.
Complete step by step answer:
The hertz is defined as one cycle per second. The dimensions of hertz is that of the inverse of time so $[Hz] = {M^0}{L^0}{T^{ - 1}}$.
The unit of Hertz may be applied to any periodic event. For vibrations, the frequency of the object will be half the number of times the object passes through a given point in one cycle in a second. if the object vibrates at 60 vibrations per minute, and the motion is periodic, it implies that the object vibrates at 60 vibrations in 60 seconds. This implies that the object will complete one cycle of its motion in 1 second. This is the correct definition of hertz hence it is the correct choice.
Hence, option (D) is correct answer
Additional information: Problems can arise because the units of angular measure (cycle or radian) are omitted in SI units but are widely used in different fields of science such as waves and electromagnetism.
Note: Expressed in base SI units, hertz is the inverse of time. In such questions, we should check all the options for how many vibrations they complete per second and then match it with the definition of hertz which implies that for 1 Hz frequency, the object has to vibrate on time in a second.
Complete step by step answer:
The hertz is defined as one cycle per second. The dimensions of hertz is that of the inverse of time so $[Hz] = {M^0}{L^0}{T^{ - 1}}$.
The unit of Hertz may be applied to any periodic event. For vibrations, the frequency of the object will be half the number of times the object passes through a given point in one cycle in a second. if the object vibrates at 60 vibrations per minute, and the motion is periodic, it implies that the object vibrates at 60 vibrations in 60 seconds. This implies that the object will complete one cycle of its motion in 1 second. This is the correct definition of hertz hence it is the correct choice.
Hence, option (D) is correct answer
Additional information: Problems can arise because the units of angular measure (cycle or radian) are omitted in SI units but are widely used in different fields of science such as waves and electromagnetism.
Note: Expressed in base SI units, hertz is the inverse of time. In such questions, we should check all the options for how many vibrations they complete per second and then match it with the definition of hertz which implies that for 1 Hz frequency, the object has to vibrate on time in a second.
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