| ⇦ | 
| ⇨ |
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 magnet of length 10 cm and magnetic moment 1 A-m² is placed
- The number of NAND gates required to form an AND gate is
- A thermally insulated rigid container contains an ideal gas heated by a filament
- To demonstrate the phenomenon of interference, we require two sources which emit
- A satellite of mass m revolves around the earth of radius R at a height x from
Topics: Motion in Straight Line
(93)
Subject: Physics
(2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
- A magnet of length 10 cm and magnetic moment 1 A-m² is placed
- The number of NAND gates required to form an AND gate is
- A thermally insulated rigid container contains an ideal gas heated by a filament
- To demonstrate the phenomenon of interference, we require two sources which emit
- A satellite of mass m revolves around the earth of radius R at a height x from
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