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🌊 WAVES (Mechanical Waves)

Objective Questions – Page 3 (JEE Advanced Level)

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Q21️⃣

Two identical strings under the same tension carry waves of equal frequency. If their linear densities are μ and 4μ, the ratio of wavelengths is:

• A) 1 : 1
• B) 1 : 2
• C) 2 : 1
• D) 4 : 1

Answer: C

Explanation: v = √(T/μ), λ = v/f ⇒ λ ∝ 1/√μ

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Q22️⃣

In a standing wave, which quantity remains zero at a node at all times?

• A) Velocity
• B) Acceleration
• C) Displacement
• D) Energy

Answer: C

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Q23️⃣

A wave y = A sin(ωt − kx) reflects from a rigid boundary. The phase change on reflection is:

• A) 0
• B) π/2
• C) π
• D) 2π

Answer: C

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Q24️⃣

The ratio of energies transported by two waves of amplitudes A and 2A is:

• A) 1 : 2
• B) 1 : 4
• C) 1 : 8
• D) 1 : 16

Answer: B

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Q25️⃣

For a stretched string fixed at both ends, which harmonic is absent?

• A) Fundamental
• B) Second
• C) Third
• D) None

Answer: D

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Q26️⃣

If the length of a stretched string is doubled keeping tension and μ same, the fundamental frequency becomes:

• A) Same
• B) Half
• C) Double
• D) Four times

Answer: B

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Q27️⃣

The phenomenon responsible for beats is:

• A) Interference of same frequencies
• B) Superposition of unequal frequencies
• C) Diffraction
• D) Resonance

Answer: B

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Q28️⃣

A pipe closed at one end resonates at frequencies 200 Hz and 600 Hz. The fundamental frequency is:

• A) 100 Hz
• B) 200 Hz
• C) 300 Hz
• D) 400 Hz

Answer: B

Explanation: Closed pipe → odd harmonics only

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Q29️⃣

Which statement about mechanical waves is correct?

• A) Energy & matter both propagate
• B) Only matter propagates
• C) Only energy propagates
• D) Neither propagates

Answer: C

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Q30️⃣

The time period of a wave depends on:

• A) Amplitude
• B) Medium
• C) Source
• D) Distance travelled

Answer: C

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✅ Objective Page 3 Completed
Level: JEE Advanced (Concept + Logic)

👉 Next options:
Objective Page 4 (Extreme Tough) • Numerical MCQs • Assertion–Reason