Oscillations

Q1.A particle performs SHM with x(t) = A sin(ωt). The time taken to go from x = 0 to x = A/2 is:

• AT/6
• BT/4
• CT/12
• DT/3

Q2.The angular frequency ω is related to the period T by:

• Aω = 2πT
• Bω = T/(2π)
• Cω = 2π/T
• Dω = 1/T

Q3.Two particles perform SHM with same amplitude and frequency along the same axis, but with a phase difference of π/2. At the instant when one particle is at its extreme position, the other is at:

• AExtreme position
• BMean position
• CAmplitude/√2 from mean
• DAmplitude/2 from mean

Q4.The time period of a simple pendulum of length 1 m on Earth (g = 9.8 m/s²) is approximately:

• A1 s
• B2 s
• C3 s
• D4 s

Q5.A particle in SHM has displacement x = 5 cos(πt + π/3) cm. Its velocity at t = 0 is:

• A-5π/2 cm/s
• B5π√3/2 cm/s
• C-5π√3/2 cm/s
• D5π cm/s