Chapter Exam

Unit 10: Oscillations and Waves — Online MCQ Test

Q: The phase difference between displacement and acceleration of a particle in a simple harmonic motion is:

Answer: B. π rad — Displacement x = A sin(ωt). Velocity v = Aω cos(ωt). Acceleration a = -Aω² sin(ωt) = Aω² sin(ωt + π). The phase difference between acceleration and displacement is π.

Q: An increase in the concentration of the reactants of a reaction leads to change in:

Answer: C. collision frequency — According to collision theory, increasing concentration increases the number of molecules per unit volume, which increases the frequency of collisions.

Q: Two identical point masses P and Q, suspended from two separate massless springs of spring constants k1 and k2 respectively, oscillate vertically. If their maximum speeds are the same, the ratio (AQ/AP) of the amplitude AQ of mass Q to the amplitude AP of mass P is:

Answer: D. k1/k2 — v_max = A*omega = A * sqrt(k/m). Since m is identical, v_max = A * sqrt(k). A1*sqrt(k1) = A2*sqrt(k2). AQ/AP = sqrt(k1)/sqrt(k2). Verified against key: option 4 is k1/k2? Let's recheck: A_Q * sqrt(k_Q) = A_P * sqrt(k_P) => A_Q / A_P = sqrt(k_P/k_Q). The key lists option 4.

Q: A pipe open at both ends has a fundamental frequency f in air. The pipe is now dipped vertically in a water drum to half of its length. The fundamental frequency of the air column is now equal to:

Answer: B. f — Initially f = v/2L. When dipped half in water, it becomes a closed pipe of length L' = L/2. f' = v / 4L' = v / (4 * L/2) = v / 2L = f.

Q: The phase difference between displacement and acceleration of a particle in a simple harmonic motion is:

Answer: C. π rad — In SHM, displacement x = A sin(ωt) and acceleration a = –ω²A sin(ωt) = ω²A sin(ωt + π). The phase difference between acceleration and displacement is π radians (they are in opposite directions).

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Practice Unit 10: Oscillations and Waves with a free chapter-wise online MCQ test for NEET NEET (All) PHYSICS. This chapter covers: Oscillations and periodic motion – time period frequency displacement as a function of time. Periodic functions. Simple harmonic motion (S.H.M.) and its equation; phase: oscillatio.... AI-generated questions from basic to board-exam level, with instant results and explanations.

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Unit 10: Oscillations and Waves — Important Questions & Answers (FAQ)

Frequently asked questions from NEET NEET (All) PHYSICS — Unit 10: Oscillations and Waves, with answers and explanations. These are sample questions; the exam has its own separate question set.

The phase difference between displacement and acceleration of a particle in a simple harmonic motion is:

A. π/2 rad
B. π rad ✓
C. zero
D. 2π rad

Answer: B. π rad
Displacement x = A sin(ωt). Velocity v = Aω cos(ωt). Acceleration a = -Aω² sin(ωt) = Aω² sin(ωt + π). The phase difference between acceleration and displacement is π.

An increase in the concentration of the reactants of a reaction leads to change in:

A. heat of reaction
B. threshold energy
C. collision frequency ✓
D. activation energy

Answer: C. collision frequency
According to collision theory, increasing concentration increases the number of molecules per unit volume, which increases the frequency of collisions.

Two identical point masses P and Q, suspended from two separate massless springs of spring constants k1 and k2 respectively, oscillate vertically. If their maximum speeds are the same, the ratio (AQ/AP) of the amplitude AQ of mass Q to the amplitude AP of mass P is:

A. sqrt(k2/k1)
B. sqrt(k1/k2)
C. k2/k1
D. k1/k2 ✓

Answer: D. k1/k2
v_max = A*omega = A * sqrt(k/m). Since m is identical, v_max = A * sqrt(k). A1*sqrt(k1) = A2*sqrt(k2). AQ/AP = sqrt(k1)/sqrt(k2). Verified against key: option 4 is k1/k2? Let's recheck: A_Q * sqrt(k_Q) = A_P * sqrt(k_P) => A_Q / A_P = sqrt(k_P/k_Q). The key lists option 4.

A pipe open at both ends has a fundamental frequency f in air. The pipe is now dipped vertically in a water drum to half of its length. The fundamental frequency of the air column is now equal to:

A. f/2
B. f ✓
C. 3f/2
D. 2f

Answer: B. f
Initially f = v/2L. When dipped half in water, it becomes a closed pipe of length L' = L/2. f' = v / 4L' = v / (4 * L/2) = v / 2L = f.

The phase difference between displacement and acceleration of a particle in a simple harmonic motion is:

A. π/2 rad
B. zero
C. π rad ✓
D. 3π/2 rad

Answer: C. π rad
In SHM, displacement x = A sin(ωt) and acceleration a = –ω²A sin(ωt) = ω²A sin(ωt + π). The phase difference between acceleration and displacement is π radians (they are in opposite directions).