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Q70
(NDA-I/2017)
Science & Technology › Basic Science (Physics, Chemistry, Biology) › Waves and acoustics
Answer Verified
Which one of the following is the correct relation between frequency/and angular frequency a ?
Result
Your answer:
—
·
Correct:
B
Explanation
The correct answer is Option 2: ω = 2πf.
In physics, particularly in wave mechanics and simple harmonic motion, the relationship between linear frequency and angular frequency is fundamental:
- Frequency (f): Represents the number of cycles or revolutions completed per unit time, measured in Hertz (Hz) or s⁻¹.
- Angular Frequency (ω): Represents the rate of change of the angular displacement, measured in radians per second (rad/s).
Since one complete cycle corresponds to a rotation of 2π radians, the angular frequency is calculated by multiplying the linear frequency by 2π. Thus, the formula is ω = 2πf.
Other options are incorrect because they fail to maintain this mathematical identity. For instance, Option 3 (f = ω/2π) is a correct derivation, but the question specifically asks for the relation in the form provided in Option 2. Options 1 and 4 represent incorrect mathematical ratios between these two physical quantities.
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