| ⇦ | 
| ⇨ |
A particle of mass m is driven by a machine that delivers a constant power k watts.If the particle starts from rest the force on the particle at time t is
Options
(a) √(mk/2) t⁻¹/²
(b) √(mk) t⁻¹/²
(c) √2mk t⁻¹/²
(d) 1/2√(mk) t⁻¹/²
Correct Answer:
√(mk/2) t⁻¹/²
Explanation:
As we know power P = dw / dt
w = Pt = (1/2) mV²
So, v = √(2Pt / m)
Hence, acceleration a = dV / dt = √(2P / m).(1/2√t)
Therefore, force on the particle time ‘t’ = ma
= √(2Km² / m) . (1/2√t) = √(Km / 2t) = √(mK / 2) t⁻¹/₂
Related Questions: - A proton beam enters a magnetic field of 10⁻⁴ Wb/m² normally. If the specific charge
- If A=4i+4j+4k and b=3i+j+4k, then angle between vectors A and B is
- Radii of curvature of a converging lens are in the rato 1:2. Its focal length
- A particle has initial velocity (3i + 4j) and acceleration (0.1 i+0.3j). It’s speed after 10s
- A radioactive substance decays to 1/16th of its initial activity in 40 days.
Topics: Work Energy and Power
(94)
Subject: Physics
(2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
- A proton beam enters a magnetic field of 10⁻⁴ Wb/m² normally. If the specific charge
- If A=4i+4j+4k and b=3i+j+4k, then angle between vectors A and B is
- Radii of curvature of a converging lens are in the rato 1:2. Its focal length
- A particle has initial velocity (3i + 4j) and acceleration (0.1 i+0.3j). It’s speed after 10s
- A radioactive substance decays to 1/16th of its initial activity in 40 days.
Topics: Work Energy and Power (94)
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