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NEET PHYSICSEasy

At any instant of time tt, the displacement of any particle is given by 2t−12t-1 (SI unit) under the influence of the force of 5 N5\text{ N}. The value of instantaneous power (in SI units) is:

A

5

B

7

C

6

D

10

Step-by-Step Solution

  1. Identify the Formula: Instantaneous power (PP) is defined as the product of the force (FF) and the instantaneous velocity (vv). P=FvP = Fv [Class 11 Physics, Ch 6, Sec 6.10, Eq 6.21]
  2. Calculate Velocity: Velocity is the time derivative of displacement (xx). Given displacement x=2t−1x = 2t - 1. v=dxdt=ddt(2t−1)=2 m/sv = \frac{dx}{dt} = \frac{d}{dt}(2t - 1) = 2 \text{ m/s} [Class 11 Physics, Ch 3, Sec 3.2, Eq 3.1b]
  3. Calculate Power: Given Force F=5 NF = 5 \text{ N}. P=5 N×2 m/s=10 WP = 5 \text{ N} \times 2 \text{ m/s} = 10 \text{ W}
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Solved: PHYSICS Question for NEET | Sushrut