| ⇦ | 
| ⇨ |
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: - An α-particle and a proton are accelerated through same potential difference
- In a parallel plate capacitor with plate area A and charge Q, the force on one plate
- An alternating voltage given as, V=100√2 sin100t V is applied to a capacitor
- An electromagnetic wave of frequency v = 3.0 MHz passes from vacuum into
- The density of ice is 0.9 g/cc and that of sea water is 1.1 g/cc
Topics: Motion in Straight Line
(93)
Subject: Physics
(2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
- An α-particle and a proton are accelerated through same potential difference
- In a parallel plate capacitor with plate area A and charge Q, the force on one plate
- An alternating voltage given as, V=100√2 sin100t V is applied to a capacitor
- An electromagnetic wave of frequency v = 3.0 MHz passes from vacuum into
- The density of ice is 0.9 g/cc and that of sea water is 1.1 g/cc
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