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Complete Mechanical Waves objective questions from basic to toughest JEE Advanced level.
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Objective Questions – Page 1 (Foundation → Advanced)
Q1️⃣
A wave is represented by the equation y = 0.02 sin(20t − 0.4x). The wave velocity is:
- A) 20 m/s
- B) 40 m/s
- C) 50 m/s
- D) 80 m/s
Answer: C
Explanation: v = ω / k = 20 / 0.4 = 50 m/s
Q2️⃣
The phase difference between two particles separated by distance λ/4 is:
- A) π/4
- B) π/2
- C) π
- D) 2π
Answer: B
Explanation: Phase difference = (2π/λ)(λ/4) = π/2
Q3️⃣
Which quantity remains constant during wave propagation?
- A) Displacement
- B) Energy
- C) Frequency
- D) Wavelength
Answer: C
Explanation: Frequency depends only on source
Q4️⃣
If the amplitude of a wave is doubled, the energy transported becomes:
- A) Doubled
- B) Four times
- C) Eight times
- D) Half
Answer: B
Explanation: Energy ∝ A²
Q5️⃣
A transverse wave travels on a stretched string. The particles of the string move:
- A) Along the direction of wave
- B) Opposite to wave
- C) Perpendicular to wave
- D) Circular path
Answer: C
Q6️⃣
The speed of a wave on a string depends on:
- A) Frequency
- B) Amplitude
- C) Tension & linear density
- D) Length of string
Answer: C
Explanation: v = √(T/μ)
Q7️⃣
In a progressive wave, which of the following is true?
- A) All particles vibrate in same phase
- B) No energy transfer
- C) Energy propagates
- D) Nodes are present
Answer: C
Q8️⃣
Two waves of equal frequency and amplitude interfere destructively. Resultant amplitude is:
- A) A
- B) 2A
- C) Zero
- D) A/2
Answer: C
Q9️⃣
Standing waves are formed due to:
- A) Reflection only
- B) Refraction only
- C) Interference of same frequency waves
- D) Diffraction
Answer: C
Q🔟
At a node of a stationary wave:
- A) Displacement is maximum
- B) Velocity is maximum
- C) Displacement is zero
- D) Energy is maximum
Answer: C
✅ Objective Page 1 Completed
Concepts: Wave Equation | Phase | Energy | Speed
👉 Say “Objective Page 2” to continue
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