WBJEE · Physics · Center of Mass Momentum and Collision
A spherical ball \(A\) of mass 4 kg, moving along a straight line strikes another spherical ball \(B\) of mass \(1 \mathrm{kg}\) at rest. After the collision, \(A\) and \(B\) move with velocities \(y_{1} \mathrm{ms}^{-1}\) and \(v_{2} \mathrm{ms}^{-1}\) respectively making angles of \(30^{\circ}\) and \(60^{\circ}\) with
respect to the original direction of motion of \(A .\) The ratio \(\frac{y_{1}}{v_{2}}\) will be
- A \(\frac{\sqrt{3}}{4}\)
- B \(\frac{4}{\sqrt{3}}\)
- C \(\frac{1}{\sqrt{3}}\)
- D \(\sqrt{3}\)
Answer & Solution
Correct Answer
(A) \(\frac{\sqrt{3}}{4}\)
Step-by-step Solution
Detailed explanation
Along \(y\) -axis momentum remains zero. Here \[ \begin{aligned} 4 v_{1} \sin 30^{\circ} &=v_{2} \sin 60^{\circ} \\ \frac{y_{1}}{v_{2}} &=\frac{\sqrt{3}}{4} \end{aligned} \]
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- A small mass \(m\), attached to one end of a spring with a negligible mass and an unstretched length \(L\), executes virtual oscillation with angular frequency \(\omega_{0}\). When the mass is rotated with an angular speed \(\omega\) by holding the other end of the spring at a fixed point, the mass moves uniformly in a circular path in a horizontal plane. Then the increase in length of the spring during the rotation isWBJEE 2013 Hard
- A stone of relative density \(\mathrm{K}\) is released from rest on the surface of a lake. If viscous effects are ignored, the stone sinks in water with an acceleration ofWBJEE 2011 Easy
- If the pressure, temperature and density of an ideal gas are denoted by \(p, T\) and \(\rho\), respectively, the velocity of sound in the gas isWBJEE 2017 Easy
- A shell of mass \(5 M\), acted upon by no external force and initially at rest, bursts into three fragments of masses \(M, 2 M\) and \(2 M\) respectively. The first two fragments move in opposite directions with velocities of magnitudes 2v and \(v\) respectively. The third fragment willWBJEE 2013 Easy
- The acceleration ' \(a\) ' (in \(\mathrm{ms}^{-2}\) ) of a body, starting from rest varies with time \(t\) (in \(s\) ) following the equation \(a=3 t+4\) The velocity of the body at time \(t=2 \mathrm{~s}\) will beWBJEE 2009 Easy
- An object is placed \(30 \mathrm{cm}\) away from a convex lens of focal length \(10 \mathrm{cm}\) and a sharp image is formed on a screen. Now a concave lens is placed in contact with the convex lens. The screen now has to be moved by \(45 \mathrm{cm}\) to get \(\underline{a}\) sharp image again. The magnitude of focal length of the concave lens is (in \(\mathrm{cm}\) )WBJEE 2014 Medium
More PYQs from WBJEE
- A copper coin was electroplated with \(\mathrm{Zn}\) and then heated at high temperature until there is a change in colour. What will be the resulting colour?WBJEE 2019 Easy
- If \(\hat{n}_1, \hat{n}_2\) and \(\hat{t}\) represent, unit vectors along the incident ray, reflected ray and normal to the surface respectively, then
WBJEE 2024 Easy - If in the expansion of \((a-2 b)^{\mathrm{n}}\), the sum of the 5 th and 6 th term is zero, then the value of \(\frac{\mathrm{a}}{\mathrm{b}}\) isWBJEE 2010 Medium
- A spring of force constant \(k\) is cut into three equal parts. The force constant of each part would beWBJEE 2010 Medium
- The work done in carrying a charge \(\mathrm{Q}\) once around a circle of radius \(\mathrm{r}\) about a charge \(\mathrm{q}\) at the centre isWBJEE 2009 Medium
-
In the given circuit, find the voltage drop \(V_L\) in the load resistance \(R_L\).WBJEE 2023 Easy