Class 11 Oscillations worksheet

Sample questions

Real questions from this chapter, as the app sets them. Tap Answer to see the answer and working.

Section A · multiple choice

1. 1.

   A body in SHM has angular frequency 2π/3 rad/s. Its period is:

   1. 1.5 s
   2. 0.33 s
   3. 6 s
   4. 3 s

   Answer

   (d) 3 s

   T = 2π/ω

2. 2.

   A particle moves in SHM with amplitude 19 cm and angular frequency 9 rad/s. Its greatest speed is:

   1. 171 cm/s
   2. 1539 cm/s
   3. 2.11 cm/s
   4. 28 cm/s

   Answer

   (a) 171 cm/s

   v_max = Aω

3. 3.

   A mass of 4 kg oscillates on a spring of spring constant 4 N/m. The period is:

   1. 0.5π s
   2. 2π s
   3. 4π s
   4. π s

   Answer

   (d) π s

   T = 2π√(m/k)

Section B · short answer

1. 4.

   The displacement of a particle is x = 1 sin(2πt + π/3) cm. Find the amplitude, angular frequency, period, frequency and initial phase.

   Answer

   A = 1 cm; ω = 2π rad/s; T = 1 s; f = 1 Hz; phase π/3

   compare with x = A sin(ωt + φ); T = 2π/ω

2. 5.

   A particle performs SHM with amplitude 14 cm and period 2 s. Find its greatest speed and greatest acceleration (leave π in the answer).

   Answer

   14π cm/s; 14π² cm/s²

   ω = 2π/T = π; v_max = Aω; a_max = Aω²

Section C · long answer

1. 6.

   A particle moves according to x = 18 cos(πt) cm. Find (a) the amplitude, period and frequency, (b) the greatest speed, (c) the greatest acceleration, (d) its position at t = 0 (leave π in the answers).

   Answer

   (a) 18 cm, 2 s, 0.5 Hz; (b) 18π cm/s; (c) 18π² cm/s²; (d) x = 18 cm, at an extreme position

   ω = 2π/T; v_max = Aω; a_max = Aω²

Fresh sheets for your child

In the app, every Oscillations sheet is new: the app remembers the questions your child has already had and leaves them out. Print the sheet as a PDF, or use notebook mode and write the answers in a notebook.

Coming soon for Android and iPhone.

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