MCQ
Consider $a$ one-dimensional collision that involves $a$ body of mass $m_1$ originally moving in the positive $x$ direction with speed $v_0$ colliding with a second body of mass $m_2$ originally at rest. The collision could be completely inelastic, with the two bodies sticking together, completely elastic, or somewhere in between. After the collision, $m_1$ moves with velocity $v_1 $ while $m_2$ moves with velocity $v_2$.

$(A)$ $If \,m_1 > m_2$,

$(B)$ $If\, m_1 < m_2$,

  • A
    $ -v_0 < v_1 < 0$ $;$  $ -v_0 < v_1 < 0$
  • B
    $v_0 < v_1 < 2v_0$ $;$ $0 < v_1 < v_0$
  • C
    $0 < v_1 < 2v_0$ $;$ $0 < v_1 < v_0/2$
  • $0 < v_1 < v_0$ $;$  $-v_0 < v_1 < v_0/2$

Answer

Correct option: D.
$0 < v_1 < v_0$ $;$  $-v_0 < v_1 < v_0/2$
d

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

Similar questions

An $e.m.f$. of $12$ $volts$ is induced in a given coil when the current in it changes at the rate of $48$ $amperes/ minute$. The self inductance of the coil is.....$henry$
A transverse wave is passing through a stretched string with a speed of $20\  m/s.$ The tension in the string is $20\  N$. At a certain point $P$ on the string, it is observed that energy is being transferred at a rate of $40 \ mW$ at a given instant. Find the speed of point $P$.
Two vertical glass tubes filled with a liquid are connected by a capillary tube as shown in the figure. The tube on the left is put in an ice bath at $0^o C$ while the tube on the right is kept at $30^o C$ in a water bath. The difference in the levels of the liquid in the two tubes is $4 \,\,cm$ while the height of the liquid column at $0^o C$ is $120\,\,cm$. The coefficient of volume expansion of liquid is (Ignore expansion of glass tube)
In the diagram, $I_1$ , $I_2$ are the strength of the currents in the loop and infinite long straight conductor respectively. $OA = AB = R$ . The net magnetic field at the centre $O$ is zero. Then the ratio of the currents in the loop and the straight conductor is 
A man is swinging on a swing made of $2$ ropes of equal length $L$ and in direction perpendicular to the plane of paper. The time period of the small oscillations about the mean position is
A sphere is rolling without slipping on a fixed horizontal plane surface. In the figure, $\mathrm{A}$ is the point of contact, $\mathrm{B}$ is the centre of the sphere and $\mathrm{C}$ is its topmost point. Then,

$(A)$ $\vec{V}_C-\vec{V}_A=2\left(\vec{V}_B-\vec{V}_C\right)$

$(B)$ $\vec{V}_C-\vec{V}_B=\vec{V}_B-\vec{V}_A$

$(C)$ $\left|\vec{V}_C-\vec{V}_A\right|=2\left|\vec{V}_B-\vec{V}_C\right|$

$(D)$ $\left|\vec{V}_C-\vec{V}_A\right|=4\left|\vec{V}_B\right|$

If Rydberg's constant is $R$, the longest wavelength of radiation in Paschen series will be $\frac{\alpha}{7 R}$, where $\alpha=$____________
A uniformly charged rod of length $4\,m$ and linear charge density $\lambda  = 30\,\mu C/m$ is placed as shown in figure. Calculate the $x-$ component of electric field at point $P$.
Compare enolate $A$ with enolate $B$.

Which of the following statements is true ?

Two bodies are held separated by $9.8\,m$ vertically one above the other. They are released simultaneously to fall freely under gravity. After $2\,s$, the relative distance between them is $............\,m$