Motion in a Straight Line - Result Question 11

«««< HEAD:content/english/neet-pyq-chapterwise/physics/motion-in-a-straight-line/motion-in-a-straight-line-result-question-11.md

======= ####11. 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 sec) by $t=\sqrt{x}+3$. The displacement of the particle when its velocity is zero, will be

3e0f7ab6f6a50373c3f2dbda6ca2533482a77bed:content/english/neet-pyq-chapterwise/physics/motion-in-a-straight-line/motion-in-a-straight-line—result-question-11.md (a) $2 m$

(b) $4 m$

(c) zero

(d) $6 m$

[NEET Kar. 2013]

Show Answer

Answer:

Correct Answer: 11. (c)

Solution:

  1. (c) $\because t=\sqrt{x}+3$

$\Rightarrow \sqrt{x}=t-3 \Rightarrow x=(t-3)^{2}$

$v=\frac{d x}{d t}=2(t-3)=0$

$\Rightarrow t=3$

From equation (i)

$\therefore x=(3-3)^{2}$

$\Rightarrow x=0$