Question Detail

PHY 104 PHY 104 Past Questions Objective Question
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Question

The motion of a particle varies with time according to the relation y = b sin αt + b cos αt. Which of the following is correct about this motion?
Options
A The motion is SHM but not periodic
B The motion is SHM with an amplitude a√2
Correct Answer
C The motion is SHM with an amplitude √(2a)
D The motion is SHM with an amplitude a
Correct Answer

Option B is the correct answer.

Detailed Explanation

y = b sin αt + b cos αt = b( sin αt + cos αt) = b√2 sin(αt + π/4). This is SHM with amplitude b√2 = a√2 (if a = b).

Hint

Combine sin and cos terms into a single sine or cosine function.

Question Info

Course: PHY 104
Topic: PHY 104 Past Questions
Type: Objective
Difficulty: Not specified
Question 862 of 947
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