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Objective Questions – Page 5 (Numerical & Multi-Correct | JEE Advanced)
Q41️⃣ (Numerical)
A wave travels on a string with speed 300 m/s. If its frequency is 150 Hz, the wavelength is:
- A) 0.5 m
- B) 1 m
- C) 2 m
- D) 3 m
Answer: B
Calculation: λ = v/f = 300/150 = 2 m ❌ (Wait!) Correct option: C
Q42️⃣ (Conceptual)
A sound wave travels from air to water. Which of the following increases?
- A) Frequency
- B) Speed
- C) Wavelength
- D) Time period
Correct Options: B, C
Q43️⃣ (Multi-Correct)
In a standing wave formed on a string:
- A) Energy is transferred along the string
- B) Nodes have zero displacement
- C) Antinodes have maximum velocity
- D) Frequency is same as incident waves
Correct Options: B, C, D
Q44️⃣ (Numerical)
A stretched string of length 1 m vibrates in fundamental mode. If wave speed is 200 m/s, frequency is:
- A) 50 Hz
- B) 100 Hz
- C) 200 Hz
- D) 400 Hz
Answer: B
Logic: f = v / 2L = 200 / 2 = 100 Hz
Q45️⃣ (Assertion-Reason)
Assertion (A): Closed organ pipes do not produce even harmonics.
Reason (R): One end of closed pipe is a displacement node.
- A) A & R true, R explains A
- B) A & R true, R does not explain A
- C) A true, R false
- D) A false, R true
Answer: A
Q46️⃣ (Numerical)
Two waves represented by y₁ = A sin(ωt) and y₂ = A sin(ωt + π) superpose. Resultant amplitude is:
- A) A
- B) √2 A
- C) 2A
- D) 0
Answer: D
Trick: Phase difference π → complete destructive interference
Q47️⃣ (Conceptual)
The speed of a transverse wave on a string depends on:
- A) Tension in string
- B) Linear mass density
- C) Frequency
- D) Amplitude
Correct Options: A, B
Q48️⃣ (Numerical)
If tension in a string is increased four times, wave speed becomes:
- A) 2 times
- B) 4 times
- C) 8 times
- D) Half
Answer: A
Reason: v ∝ √T
Q49️⃣ (PYQ-Style)
Which of the following waves can be polarized?
- A) Sound wave
- B) Water surface wave
- C) Light wave
- D) Longitudinal wave in air
Answer: C
Q50️⃣ (Numerical)
A wave has frequency 10 Hz and wavelength 2 m. Distance travelled by wave in 5 seconds is:
- A) 20 m
- B) 50 m
- C) 100 m
- D) 200 m
Answer: C
✅ Objective Page 5 Completed
Level: ⭐⭐⭐⭐⭐ (High-Scoring JEE Section)
👉 Next Options:
Objective Page 6 – Tough PYQs
OR
Wave Numericals – Mixed Concepts
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