Physics · 2015
NEET 2015 · 3 May · Code E · Q3
A particle of unit mass undergoes one-dimensional motion such that its velocity varies according to v(x)=β x^-2 n, where β and n are constants and x…
A particle of unit mass undergoes one-dimensional motion such that its velocity varies according to
$$v(x)=\beta x^{-2 n},
$$
where $\displaystyle \beta$ and $\displaystyle n$ are constants and $\displaystyle x$ is the position of the particle. The acceleration of the particle as a function of $\displaystyle x$, is given by :
Official answer
(2)
$\displaystyle -2 \mathrm{n} \beta^2 x^{-4 \mathrm{n}-1}$
More from Motion in a Straight Line
- The displacement ' x ' (in meter) of a particle of mass 'm' (in kg) moving in one dimension under the action of a force, is related to time 't' (in…2013
- The distance travelled by a particle starting from rest and moving with an acceleration 4/3 ms^-2, in the third second is:2008
- If the velocity of a particle is v=At+Bt^2, where A and B are constants, then the distance travelled by it between 1s and 2s is:2016
- A horizontal bridge is built across a river. A student standing on the bridge throws a small ball vertically upwards with a velocity 4 m s^-1. The…2023
- In some appropriate units, time (t) and position (x) relation of a moving particle is given by t=x^2+x. The acceleration of the particle is2025
- The motion of a particle along a straight line is described by equation: x=8+12 t-t^3 where x is in metre and t in second. The retardation of the…2012
- A bus is moving with a speed of 10 m s^-1 on a straight road. A scooterist wishes to overtake the bus in 100 s. If the bus is at a distance of 1 km…2009
- The velocity (v) - time (t) plot of the motion of a body is shown below: The acceleration (a) - time (t) graph that best suits this motion is:2024
NEET (UG) 2015 Physics question, with the answer from NTA’s final answer key. Where our answers come from.