NDA Physics · Free notes
Oscillations and Waves — NDA Physics
Oscillations and Waves is 14 past-year NDA questions across 2017–2026, tested in two tightly linked movements. An oscillation is any to-and-fro motion that repeats in equal intervals of time, and a wave is a disturbance that carries energy through space without carrying matter with it. (1) Simple harmonic motion and general waves — what makes a motion simple-harmonic (a restoring force proportional to displacement and directed back to the mean position), the meaning of period, amplitude, frequency and phase, and the shared properties of waves of every kind (sound, water, light): all carry energy, exert pressure and reflect, but only electromagnetic waves can travel through a vacuum. (2) The simple pendulum — the bank's workhorse, governed by the single formula T = 2π√(L/g): its period grows with the square root of length, is completely independent of the bob's mass, slows where gravity is weaker, and stays amplitude-independent only while the swing is small. Almost every mark here is won by knowing one formula and one idea — period depends on length and gravity, never on mass — and by remembering that a wave needs a medium unless it is light. Drill the period law, watch what each problem changes, and walk out with the marks.
The handout has every subtopic, worked example, formula and trap with answers shown. The formula sheet is the chapter’s formulas and traps alone, on one page.
Subtopic notes
Simple Harmonic Motion and General Waves
7 PYQsSimple harmonic motion is the to-and-fro motion produced when the restoring force is proportional to the displacement and points back toward the mean position; a wave is a disturbance that carries energy — and every wave reflects, carries energy and exerts pressure, but only light needs no medium.
The Simple Pendulum
7 PYQsA simple pendulum is a point mass on a light inextensible string; for small swings it performs simple harmonic motion with a period T = 2π√(L/g) that depends only on the length and the local gravity — never on the mass of the bob.
Formula & revision sheet
5 formulas · 12 gotchas across all subtopics — the exam-eve cheat-sheet
Formula & revision sheet
5 formulas · 12 gotchas across all subtopics — the exam-eve cheat-sheet
Formulas (2)
Watch out for (6)
- Acceleration in SHM is NOT constant→ What makes a motion simple-harmonic
- The restoring force opposes the displacement→ What makes a motion simple-harmonic
- Motion repeats after EVERY nT, not 'only once' after T→ Period, frequency, and phase
- Same phase needs Δt = nT — count whole periods→ Period, frequency, and phase
- Sound and water waves cannot cross a vacuum — only light can→ Shared and unique properties of waves
- Lightning before thunder = light is faster, not 'sound is slower than expected'→ Shared and unique properties of waves
Formulas (3)
Watch out for (6)
- Period does NOT depend on the mass of the bob→ The pendulum period law T = 2π√(L/g) — mass-independent
- Period scales as √L, not as L→ The pendulum period law T = 2π√(L/g) — mass-independent
- Smaller g gives a LONGER period (and a slow clock)→ How gravity changes the period
- Use the √(g₁/g₂) ratio, not g₁/g₂→ How gravity changes the period
- Amplitude-independence is a SMALL-angle property→ Amplitude-independence holds only for small swings
- Large amplitude → period gets LONGER, not shorter→ Amplitude-independence holds only for small swings
PYQ weightage by concept
6 concepts · 14 PYQs — where the marks actually sit, so you know what to drill first
PYQ weightage by concept
6 concepts · 14 PYQs — where the marks actually sit, so you know what to drill first
| Concept | PYQs | Share |
|---|---|---|
| Period, frequency, and phase | 3 | 21% |
| What makes a motion simple-harmonic | 2 | 14% |
| Shared and unique properties of waves | 2 | 14% |
| Concept | PYQs | Share |
|---|---|---|
| The pendulum period law T = 2π√(L/g) — mass-independent | 4 | 29% |
| Amplitude-independence holds only for small swings | 2 | 14% |
| How gravity changes the period | 1 | 7% |
Test yourself on a real paper
Sit a past NDA paper, timed and marked the way the exam marks it. You see your score and every answer the moment you finish. Free to start.