| ⇦ | 
| ⇨ |
A particle moving along X-axis has acceleration f,at time t given by f=fₒ(1- t/T), where fₒ and T are constants. The particle’s velocity (vₓ) is
Options
(a) fₒT
(b) (1/2)fₒT²
(c) fₒT²
(d) (1/2)fₒT
Correct Answer:
(1/2)fₒT
Explanation:
Acceleration, f = dv/dt = f₀[1-(t/T)]
dv = f₀[1-(t/T)]dt —–(i)
On integrating Equation (i) both sides, we get
.·. v = f₀t – (f₀/T)(t²/2)dt + C —–(ii)
After applying boundery conditions v = 0 at t = 0, we get
Therefore, C = 0
v = f₀t – (f₀/T)(t²/2)dt —–(iii)
As, f = f₀[1-(t/T)]
When, f = 0,t = T
Substituting, t = T in Equation (iii), then velocity
vₓ = f₀T – (f₀/T)(T²/2)
= f₀T – (1/2)f₀T = (1/2)fₒT
Related Questions: - A wire mesh consisting of very small squares is viewed at a distance
- A point charge q is placed at a distance x/2 directly above the centre of a cube
- Two balls are dropped from same height at 1 second interval of time.
- The respective speeds of the molecules are 1,2,3,4 and 5 km/s.
- The electric field in a certain region is given by E=5i ̂-3ĵ kV/m. The potential
Topics: Motion in Straight Line
(93)
Subject: Physics
(2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
- A wire mesh consisting of very small squares is viewed at a distance
- A point charge q is placed at a distance x/2 directly above the centre of a cube
- Two balls are dropped from same height at 1 second interval of time.
- The respective speeds of the molecules are 1,2,3,4 and 5 km/s.
- The electric field in a certain region is given by E=5i ̂-3ĵ kV/m. The potential
Topics: Motion in Straight Line (93)
Subject: Physics (2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
18000+ students are using NEETLab to improve their score. What about you?
Solve Previous Year MCQs, Mock Tests, Topicwise Practice Tests, Identify Weak Topics, Formula Flash cards and much more is available in NEETLab Android App to improve your NEET score.
Share this page with your friends
Leave a Reply