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QNEET-2024-Ph-62: NEET 2024 Physics - Class 11 NEET-2024-Ph-62 Solution: At any instant of time t the displacement of any particle is…
At any instant of time t the displacement of any particle is given by (SI unit) under the influence of force of 5 N. The value of instantaneous power is (in SI unit): 10 5 7 6
Multiple Choice Options
- A 10
- B 5
- C 7
- D 6
Step-by-Step Verified Solution
Core Concept & Governing Formula(s):
Instantaneous power delivered by a force is the scalar product of the force vector and the velocity vector of the particle:
When force and motion are along the same line, the vectors can be treated as scalars and the formula reduces to .
Step 1: Determine the velocity of the particle.
The displacement is given as a function of time:
Velocity is the time derivative of displacement:
Thus the particle moves with a constant velocity of .
Step 2: Use the given constant force.
The force acting on the particle is .
Since the direction of the force is along the direction of displacement, we can treat it as a scalar.
Step 3: Compute the instantaneous power.
Apply :
Final Conclusion & Correct Option:
The instantaneous power at any instant is .
Correct option: **A) 10**.