WBJEE · Physics · Oscillations
The displacement of a particle in a periodic motion is given by \(y=4 \cos ^{2}\left(\frac{t}{2}\right) \sin (1000 t)\). This displacement may be considered as the result of superposition of \(n\) independent harmonic oscillations. Here \(n\) is
- A 1
- B 2
- C 3
- D 4
Answer & Solution
Correct Answer
(C) 3
Step-by-step Solution
Detailed explanation
Given, \(Y=4 \cos ^{2}\left(\frac{t}{2}\right) \cdot \sin (1000 t)\) \(=2 \times 2 \cos ^{2}\left(\frac{t}{2}\right) \cdot \sin (1000 t)\) \(\quad\left[\because 2 \cos ^{2} \frac{t}{2}=(1+\cos t)\right]\) \(=2(1+\cos t) \sin (1000 t)\)…
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