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Complete Mechanical Waves objective questions from basic to toughest JEE Advanced level.
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Objective Questions – Page 4 (Extreme Tough | JEE Advanced)
Q31️⃣
A progressive wave is represented by y = A sin(ωt + kx). The wave is travelling:
- A) Along +x direction
- B) Along −x direction
- C) Perpendicular to x-axis
- D) Standing wave
Answer: B
Trick: (ωt − kx) → +x, (ωt + kx) → −x
Q32️⃣
Two waves of equal amplitude interfere constructively. If amplitude of each wave is A, resultant amplitude is:
- A) A
- B) √2 A
- C) 2A
- D) 4A
Answer: C
Q33️⃣
A stretched string vibrates in third harmonic. Number of nodes (including ends) is:
- A) 2
- B) 3
- C) 4
- D) 5
Answer: C
Q34️⃣
In a standing wave on a string, distance between a node and nearest antinode is:
- A) λ/2
- B) λ
- C) λ/4
- D) λ/8
Answer: C
Q35️⃣
If the frequency of a wave is doubled keeping wave speed same, its wavelength becomes:
- A) Double
- B) Half
- C) Same
- D) Four times
Answer: B
Q36️⃣
Which of the following quantities does NOT change when a wave passes from one medium to another?
- A) Speed
- B) Frequency
- C) Wavelength
- D) Phase velocity
Answer: B
Q37️⃣
The equation of standing wave is y = 2A sin(kx) cos(ωt). At positions where sin(kx)=0, the point is:
- A) Antinode
- B) Node
- C) Mean position
- D) Resonance point
Answer: B
Q38️⃣
Energy transported by a wave is proportional to:
- A) Amplitude
- B) Square of amplitude
- C) Frequency
- D) Wavelength
Answer: B
Q39️⃣
In a closed organ pipe, which harmonic is the first overtone?
- A) Second
- B) Third
- C) Fourth
- D) Fifth
Answer: B
Logic: Closed pipe → only odd harmonics
Q40️⃣
Two tuning forks of frequencies 256 Hz and 260 Hz are sounded together. The beat frequency heard is:
- A) 2 Hz
- B) 4 Hz
- C) 8 Hz
- D) 516 Hz
Answer: B
✅ Objective Page 4 Completed
Difficulty: ⭐⭐⭐⭐☆ (JEE Advanced)
👉 Next:
Objective Page 5 (Numerical + Multi-correct)
OR PYQ-style Mixed MCQs
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