When a body moves with simple harmonic motion, then the phase difference between the velocity and the acceleration is

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Q: 79 (NDA-I/2010)
When a body moves with simple harmonic motion, then the phase difference between the velocity and the acceleration is

question_subject: 

Science

question_exam: 

NDA-I

stats: 

0,2,11,7,2,4,0

keywords: 

{'simple harmonic motion': [0, 0, 4, 4], 'phase difference': [0, 0, 1, 0], 'acceleration': [0, 0, 2, 8], 'velocity': [0, 2, 2, 6]}

When a body moves with simple harmonic motion, the phase difference between the velocity and the acceleration is an important aspect to consider.

Option 1 states that the phase difference is 0°. This means that the velocity and acceleration are in perfect sync, reaching their maximum and minimum values at the same time. However, this is not the case in simple harmonic motion.

Option 2 states that the phase difference is 90°. This means that the velocity and acceleration are out of phase by a quarter cycle. When the displacement is at its maximum, the velocity is zero and the acceleration is at its maximum. Similarly, when the displacement is zero, the velocity is at its maximum and the acceleration is zero. This is the correct answer for the phase difference in simple harmonic motion.

Option 3 states that the phase difference is 180°. This means that the velocity and acceleration are completely out of sync, reaching their maximum and minimum values at opposite times. Again, this is not true for simple harmonic motion.

Option 4 states that the phase difference is 270°. This means that the velocity and acceleration are out of phase by three-quarters of a cycle. Similar to option 3, this is not an accurate representation of the phase difference in simple harmonic motion.