Two points move in the same straight line starting at the same mo… - Vidyadip

MCQ

Two points move in the same straight line starting at the same moment from the same point in it. The first moves with constant velocity $u$ and the second with constant acceleration $f$. During the time elapses before the second catches, the first greatest distance between the particle is $........$

A
$\frac{u}{f}$
✓
$\frac{u^2}{2 f}$
C
$\frac{f}{2 u^2}$
D
$\frac{f}{u^2}$

✓

Answer

Correct option: B.

$\frac{u^2}{2 f}$

b
(b)

The greatest distance, when velocities of both are equal.

$\text { or } \quad f t=u$

$t=\frac{u}{f}$

$s_1=u t=\frac{u^2}{f}$

and

$s_2=\frac{1}{2} f t^2=\frac{u^2}{2 f}$

$\therefore \quad s_{\max }=s_1-s_2=\frac{u^2}{2 f}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from 2. motion in straight line→2. motion in straight line — all question types→Physics STD 11 Science question papers→Rajasthan Board STD 11 Science question papers→Rajasthan Board question paper generator→

Similar questions

A car is moving on a circular path of radius $500\ m$ with speed $30\ m/s$ and speed is increasing at rate $2\ m/s^2$ net acceleration will be ......... $m/s^2$

$Assertion :$ The fundemental frequency of an open organ pipe increases as the temperature is increased.
$Reason :$ As the temperature increses, the velocity of sound increases more rapidly than length of the pipe.

A balloon has $2 \,g$ of air. A small hole is pierced into it. The air comes out with a velocity of $4 \,m / s$. If the balloon shrinks completely in $2.5 \,s$. The average force acting on the balloon is ..........$N$

A body of mass $m$ moving with a constant velocity $v$ hits another body of the same mass moving with the same velocity $v$ but in the opposite direction and sticks to it. The velocity of the compound body after collision is

Two springs A and B(k_A = 2k_B) are stretched by applying forces of equal magnitudes at the four ends. If the energy stored in A is E, that in B is:

$\frac{\text{E}}{2}$
$2\text{E}$
$\text{E}$
$\frac{\text{E}}{4}$

A mass is hanging on a spring balance which is kept in a lift. The lift ascends. The spring balance will show in its readings

A spherical planet has a mass $M_p$ and diameter $D_p$. A particle of mass $m$ falling freely near the surface of this planet will experience an acceleration due to gravity, equal to:

A cubical block is floating in a liquid with half of its volume immersed in the liquid. When the whole system accelerates upwards with acceleration of $g/3,$ the fraction of volume immersed in the liquid will be

If the root mean square velocity of hydrogen molecule at a given temperature and pressure is $2 \mathrm{~km} / \mathrm{s}$, the root mean square velocity of oxygen at the same condition in $\mathrm{km} / \mathrm{s}$ is :

A block of mass m slides down a smooth vertical circular track. During the motion, the block is in: