A particle of mass m travelling along x- axis with speed v_0 shoo… - Vidyadip

MCQ

A particle of mass $m$ travelling along $x-$ axis with speed $v_0$ shoots out $1/3^{rd}$ of its mass with a speed $2v_0$ along $y-$ axis. The velocity of remaining piece is

✓
${v_0}\left( {\frac{3}{2}\hat i - \hat j} \right)$
B
$\frac{{{v_0}}}{2}\left( {3\hat i - \hat j} \right)$
C
${v_0}\left( {\frac{1}{2}\hat i - 3\hat j} \right)$
D
$\frac{{{v_0}}}{2}\left( {\hat i + 3\hat j} \right)$

✓

Answer

Correct option: A.

${v_0}\left( {\frac{3}{2}\hat i - \hat j} \right)$

a
$\mathrm{m} \vec{\mathrm{u}_{1}}=\mathrm{m}_{1} \vec{\mathrm{v}}_{1}+\mathrm{m}_{2} \vec{\mathrm{v}}_{2}$

$\mathrm{mv}_{0} \hat{\mathrm{i}}=\frac{\mathrm{m}}{3}\left(2 \mathrm{v}_{0} \hat{\mathrm{j}}\right)+\frac{2 \mathrm{m}}{3} \mathrm{\vec v}_{2}$

$\vec{\mathrm{v}_{2}}=\frac{3}{2} \mathrm{v}_{0} \hat{\mathrm{i}}-\mathrm{v}_{0} \hat{\mathrm{j}}$

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 5.work,energy,power and collision→5.work,energy,power and collision — all question types→Physics STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

When a long glass capillary tube of radius $0.015\;cm$ is dipped in a liquid, the liquid rises to a height of $15\, cm$ within it. If the contact angle between the liquid and glass to clase to $0^{\circ},$ the surface tension of the liquid, in $milli\,Newton \;m ^{-1}$ is $.....$

$\left[\rho_{\text {(liquid) }}=900\; kg\,m ^{-3}, g =10\, ms ^{-2}\right]$ (Give answer in closest integer)

Three bodies having masses $5\, kg , 4\, kg$ and $2 \,kg$ is moving at the speed of $5\, m / s , 4\, m / s$ and $2 \,m / s$ respectively along $X -$axis. The magnitude of velocity of centre of mass is (in $m/s$)

An open organ pipe of length $L$ vibrates in second harmonic mode. The pressure vibration is maximum

A particle of mass $3\ kg$ is taken through $ABCDE$ from $A$ to $E$ height of $B$ , $C$ & $D$ are $5\ m$ , $4\ m$ , $6\ m$ respectively. Total path length $20\ m$ $AE$ = $10\ m$ , $\mu $ = $0.6$ . ........ $J$ work done to slowly move mass from $A$ to $E$ . ( $g = 10 \ m/s^2$ )

In practice, all heat engines have efficiency less than that of a Carnot engine because

A small block is shot into each of the four tracks as shown below. Each of the tracks rises to the same height. The speed with which the block enters the track is the same in all cases. At the highest point of the track, the normal reaction is maximum in

The resultant of $\overrightarrow{\text{A}}$ and $\overrightarrow{\text{B}}$ makes an angle a with $\overrightarrow{\text{A}}$ and $\beta$ with $\overrightarrow{\text{B}},$

Two concentric shells of different masses $m_1$ and $m_2$ are having a sliding particle of mass $m$. The forces on the particle at position $A, B$ and $C$ are

The atmosphere on a planet is possible only if [where $v_{ rms }$ is root mean square speed of gas molecules on planet and $v_e$ is escape speed on its surface]

A uniform rod of mass $15\,kg$ and length $5\,m$ is held stationary with the help of a light string as shown. Then tension in the string is ......... $N.$