NEET Physics: time period frequency displacement as a function of time Practice Questions
14 free multiple-choice questions on time period frequency displacement as a function of time (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. If an object completes 10 oscillations in 5 seconds, what is the time period of the oscillation?
Show answer & explanation
Correct answer: A — 0.5 s
First, calculate the frequency: f = 10 / 5 = 2 Hz. Then, calculate the time period: T = 1/f = 1/2 = 0.5 seconds.
Q2. What is the SI unit of frequency?
Show answer & explanation
Correct answer: A — Hertz
Frequency is the rate of oscillation, measured in cycles per second, which is measured in Hertz (Hz).
Q3. The relationship between the time period (T) and the frequency (f) of an oscillation is given by:
Show answer & explanation
Correct answer: B — T = 2πf
The fundamental relationship connecting the time period (T) and the frequency (f) is T = 1/f or f = 1/T. Using 2π relates the angular frequency (ω) and frequency (f).
Q4. In the equation describing displacement as a function of time for SHM, x(t) = A cos(ωt + φ), what does ω represent?
Show answer & explanation
Correct answer: D — Frequency
In the equation x(t) = A cos(ωt + φ), ω represents the angular frequency, which is directly related to the oscillation frequency (f) by ω= 2πf.
Q5. For a particle executing SHM, if the displacement is given by x(t) = 10 sin(2t), what is the amplitude of the oscillation?
Show answer & explanation
Correct answer: B — 10
In the general equation x(t) = A sin(ωt), the amplitude is the maximum displacement, which is the coefficient A. Here, A=10.
Q6. In simple harmonic motion, the frequency (f) of oscillation is related to the time period (T) of oscillation by which equation?
Show answer & explanation
Correct answer: B — f = 1/T
Frequency is defined as the number of oscillations per second, and the time period is the time taken for one complete oscillation. Therefore, the frequency is the reciprocal of the time period, i.e., f = 1/T, or T = 1/f.
Q7. In the equation describing the displacement of a particle in SHM, the term multiplied by the angular frequency (ω) defines which physical property?
Show answer & explanation
Correct answer: B — The maximum displacement
The term multiplied by the angular frequency (ω) represents the amplitude of the oscillation.
Q8. In an oscillating system, the relationship between the frequency and the period is fundamentally:
Show answer & explanation
Correct answer: D — Inversely proportional
Frequency (f) and time period (T) are reciprocals of each other, meaning they are inversely proportional: f = 1/T or T = 1/f.
Q9. The relationship between time period (T) and frequency (f) of an oscillating system is given by the equation:
Show answer & explanation
Correct answer: A — T = 1/f
The relationship between the time period (T) and frequency (f) of oscillation is T = 1/f. This means the time taken for one complete oscillation is the reciprocal of the frequency (number of oscillations per second).
Q10. If the displacement of a particle undergoing Simple Harmonic Motion (SHM) is described by x(t) = 5 sin(10t), what is the angular frequency (ω) of the motion?
Show answer & explanation
Correct answer: A — 10
In the general equation for SHM, x(t) = A sin(ωt), by comparison, the angular frequency ω is the coefficient of time t. Here, ω= 10 rad/s.
Q11. Which quantity is the reciprocal of the angular frequency (ω)?
Show answer & explanation
Correct answer: D — Time Period
Angular frequency (ω) is related to the frequency (f) by ω= 2πf. Therefore, the reciprocal of ω is related to the time period (T = 2π/ω).
Q12. The displacement of a particle undergoing simple harmonic motion is given by the equation x(t) = A cos(ωt). What physical quantity does ω represent in this equation?
Show answer & explanation
Correct answer: C — Angular frequency
ω (omega) represents the angular frequency, which is related to the frequency (f) and the time period (T) by ω= 2πf = 2π/T
Q13. If the time period of a vibrating system is doubled, what happens to its frequency?
Show answer & explanation
Correct answer: C — It is halved
Time period (T) and frequency (f) are inversely proportional (f = 1/T). If the time period is doubled, the frequency will be halved.
Q14. The frequency of oscillation of a system is measured in units of:
Show answer & explanation
Correct answer: D — Hertz (Hz)
Frequency (f) is defined as the number of oscillations per unit time. The standard unit for frequency is Hertz (Hz), where 1 Hz = 1 s⁻¹.
Keep going — practice on Padhai Karlo
Padhai Karlo gives you unlimited NEET practice: chapter-wise questions, timed quizzes, and full mock tests with an All-India Rank — free to start.
Get the free Android app →