enEnglishguગુજરાતી
JEE Mains · Physics · STD 11 - 4.1 newtons laws of motion
A body of mass \(m_1\) moving with an unknown velocity of \(v_1 \hat i\) undergoes a collinear collision with a body of mass \(m_2\) moving with a velocity \(v_2 \hat i\) . After collision \(m_1\) and \(m_2\) move with velocities of \(v_3 \hat i\) and \(v_4 \hat i\) respectively. If \(m_2 = 0.5\, m_1\) and \(v_3 = 0.5\, v_1\) then \(v_1\) is:
- A \({v_4} - \frac{{{v_2}}}{2}\)
- B \({v_4} - \frac{{{v_2}}}{4}\)
- C \({v_4} - {v_2}\)
- D \({v_4} + {v_2}\)
Answer & Solution
Correct Answer
(C) \({v_4} - {v_2}\)
Step-by-step Solution
Detailed explanation
Applying linear momentum conservation…
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
- Consider a cylinder of mass \(M\) resting on a rough horizontal rug that is pulled out from under it with acceleration \('a'\) perpendicular to the axis of the cylinder. What is \(F_{friction}\) at point \(P\) ? It is assumed that the cylinder does not slip
JEE Mains 2014 Hard - Electromagnetic waves travel in a medium with speed of \(1.5 \times 10^8 \mathrm{~ms}^{-1}\). The relative permeability of the medium is \(2.0\) . The relative permittivity will be _______.JEE Mains 2024 Hard
- The distance between object and its two times magnified real image as produced by a convex lens is \(45 \mathrm{~cm}\). The focal length of the lens used is _______ \(\mathrm{cm}\).JEE Mains 2024 Hard
- In the given potentiometer circuit arrangement, the balancing length \({AC}\) is measured to be \(250\) \({cm}\). When the galvanometer connection is shifted from point \((1)\) to point \((2)\) in the given diagram, the balancing length becomes \(400\, {cm}\). The ratio of the emf of two cells, \(\frac{\varepsilon_{1}}{\varepsilon_{2}}\) is -
JEE Mains 2021 Hard - Consider the diffraction pattern obtained from the sunlight incident on a pinhole of diameter \(0.1\, \mu m\). If the diameter of the pinhole is slightly increased, it will affect the diffraction pattern such that :JEE Mains 2021 Hard
- The magnetic field at the center of current carrying circular loop is \(B _{1}\). The magnetic field at a distance of \(\sqrt{3}\) times radius of the given circular loop from the center on its axis is \(B_{2}\). The value of \(B_{1} / B_{2}\) will be.JEE Mains 2022 Medium
More PYQs from JEE Mains
- If the line, \(\frac{{x\, - \,1}}{2}\, = \,\frac{{y\, + \,1}}{3}\, = \,\frac{{z\, - \,2}}{4}\) meets the plane, \(x + 2y + 3z = 15\) at a point \(P,\) then the distance of \(P\) from the origin isJEE Mains 2019 Medium
- Let \(S_1=\{z \in C:|z| \leq 5\}\), \(S_2=\left\{z \in C: I m\left(\frac{z+1-\sqrt{3} i}{1-\sqrt{3} i}\right) \geq 0\right\}\) and \(\mathrm{S}_3=\{\mathrm{z} \in \mathrm{C}: \operatorname{Re}(\mathrm{z}) \geq 0\}\). Then the area of the region \(S_1 \cap S_2 \cap S_3\) is:JEE Mains 2024 Hard
- Let \(S =\{ z \in C :| z -2| \leq 1, z (1+ i )+\overline{ z }(1-\) i) \(\leq 2\}\). Let \(|z-4 i|\) attains minimum and maximum values, respectively, at \(z _{1} \in S\) and \(z _{2} \in S\). If \(5\left(\left|z_{1}\right|^{2}+\left|z_{2}\right|^{2}\right)=\alpha+\beta \sqrt{5}\), where \(\alpha\) and \(\beta\) are integers, then the value of \(\alpha+\beta\) is equal toJEE Mains 2022 Hard
- The integral \(\int {\frac{{dx}}{{(1 + \sqrt x ) \cdot \sqrt x \sqrt {1 - x} }}} \) is equal to (where \(c\) is a constant of integration)JEE Mains 2016 Hard
- A circle touching the \(x-\) axis at \((3, 0)\) and making an intercept of length \(8\) on the \(y-\) axis passes through the pointJEE Mains 2019 Hard
- A block of mass \(m\), lying on a smooth horizontal surface, is attached to a spring (of negligible mass) of spring constant \(k\). The other end of the spring is fixed, as shown in the figure. The block is initially at rest in a equilibrium position. If now the block is pulled with a constant force \(F\), the maximum speed of the block is
JEE Mains 2019 Hard