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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
(93)
Subject: Physics
(2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
- ₆C¹⁴ absorbs an energitic neutron and emits beta particles. The resulting nucleus is
- The charges Q, +q, and +q are placed at the vartices of an equilateral
- A heavy nucleus at rest breaks into two fragments which fly off with velocities
- A particle moving in a straight line covers half the distance with speed of 3 m/s
- Magnetic flux φ (in weber) linked with a closed circuit of resistance 10 Ω varies
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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