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A particle moves a distance x in time t according to equation x = (t + 5)⁻¹. The acceleration of particle is proportional to
Options
(a) (velocity)^3/2
(b) (distance)^2
(c) (distance) ^ –2
(d) (velocity) ^ 2/3
Correct Answer:
(velocity)^3/2
Explanation:
x = 1 / t + 5
v = dx / dt = -1 / (t + 5)²
a = d²x / dt² = 2 / (t + 5)³ = 2x³
Now, 1 / (t + 5) ∞ v½
1 / (t + 5)³ ∞ v³/² ∞ a
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Topics: Motion in Straight Line
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Subject: Physics
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Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
- A potentiometer wire is 100cm long and a constant potential difference is maintained
- A black body at 227⁰C radiates heat at the rate of 7cals/cm²s. At a temperature
- A particle with charge q is moving along a circle of radius R with unoform speed v.
- A particle of mass 1.96×10⁻¹⁵ kg is kept in equilibrium between two horizontal metal
- The distance of the moon form the earth is 3.8×10⁵ km. Supposing that the eye
Topics: Motion in Straight Line (93)
Subject: Physics (2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
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