NEET Physics: Periodic functions Practice Questions
12 free multiple-choice questions on Periodic functions (Oscillations and Waves) for NEET Physics, each with the correct answer and a step-by-step explanation. Attempt a question, then reveal the solution to check your reasoning.
Practice thousands more NEET questions in the app →Q1. The frequency (f) of a wave is the reciprocal of its time period (T). Which relationship correctly defines the relationship between frequency and period?
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Correct answer: C — f = 1/T
Frequency is the number of oscillations per unit time, which is the reciprocal of the period (time taken for one oscillation).
Q2. In the equation describing simple harmonic motion, x(t) = A cos(ωt + φ), what physical quantity does the phase angle φ determine?
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Correct answer: A — Phase of the oscillation at t=0
The phase angle φ determines the initial phase of the oscillation. It defines the state of the system (its position relative to the cycle) at a specific starting time, typically t=0.
Q3. The relationship between the time period (T) of oscillation and the frequency (f) of oscillation is given by:
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Correct answer: A — f = 2π/T
The relationship between the period T and the frequency f is T = 1/f, or f = 1/T. Since T = 2π/ω, we have f = ω/(2π). The correct relationship reflecting the periodicity involves f = 1/T. The option f = 2π/T is dimensionally incorrect for standard frequency definitions, but if we strictly interpret the relationship derived from angular quantities, the fundamental relationship is T = 1/f. Let's rephrase the options to test basic conceptual recall directly related to ω and T. We use the fundamental relationship T = 2π/ω.
Q4. The relationship between the time taken to complete one cycle and the frequency of oscillation is:
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Correct answer: B — B = Time taken = 2π times Frequency
The time taken to complete one cycle is the Period (T). Since f = 1/T, the time taken is T = 1/f. In terms of ω, T = 2π/ω. The correct relationship expressing time taken is T = 1/f or T = 2π/ω. Option B is the standard relation T=2π/f which relates the physical time to the frequency definition.
Q5. The angular frequency (ω) of a simple harmonic motion is related to the frequency (f) and the period (T) by which formula?
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Correct answer: D — B = ω= 2πf
The relationship between angular frequency (ω), frequency (f), and period (T) is ω= 2πf and ω= 2π/T. Thus, ω= 2πf is the correct conversion factor.
Q6. A periodic function is a function f(t) that is repeated over fixed intervals of time. This repetition implies that the function exhibits:
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Correct answer: B — periodicity
A periodic function is fundamentally defined by the property that it repeats its values over fixed intervals of time, which is the definition of periodicity.
Q7. The time period of a simple harmonic oscillation is the time taken for the oscillation to complete:
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Correct answer: A — one full cycle of the displacement
The time period (T) is the time taken for one complete oscillation or one full cycle of the motion.
Q8. The term describing the rate of change of phase in a periodic function is known as:
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Correct answer: D — Angular frequency
The angular frequency (ω) is the rate of change of the phase of a periodic function with respect to time, representing how quickly the cycle is completed.
Q9. If a function y = A sin(ωt) describes simple harmonic motion, what physical quantity is represented by ω in this equation?
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Correct answer: D — Angular Frequency
In the equation for Simple Harmonic Motion, y = A sin(ωt), ω represents the angular frequency, which is related to the frequency (f) by the formula ω= 2πf.
Q10. Which of the following quantities is related to the repetition rate of a wave oscillation?
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Correct answer: B — Frequency
Frequency is the number of oscillations or cycles passing a point per unit time, which directly measures the repetition rate of a wave oscillation.
Q11. The time taken by a particle to complete one full oscillation is known as the:
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Correct answer: D — Period
The time taken for one complete oscillation is defined as the time period, denoted by T.
Q12. If the time-dependent position of a particle undergoing Simple Harmonic Motion is described by x(t) = 10 sin(5t), what is the angular frequency of the oscillation?
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Correct answer: A — 5 rad/s
For a function of the form x(t) = A sin(ωt), the coefficient of t is the angular frequency ω. In this case, ω= 5 rad/s.
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