Question:
Two identical masses m moving with velocities $u₁$ and $u₂$ collide perfectly inelastically. Find the loss in energy.
Two identical masses m moving with velocities $u₁$ and $u₂$ collide perfectly inelastically. Find the loss in energy.
Show Hint
Two identical masses m moving with velocities $u1$ and $u2$ collide perfectly inelastically. Find the loss in energy.
Updated On: Apr 15, 2026
- $m(u_{1}-u_{2}^{2})$
- $\frac{m}{4}(u_{1}-u_{2})^{2}$
- $\frac{m}{2}(u_{1}-u_{2})^{2}$
- $m(u_{1}-u_{2})^{3}$
Show Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Step 1: Formula
Loss in Kinetic Energy is $\Delta KE = \frac{1}{2} \frac{m_{1}m_{2}(u_{1}-u_{2})^{2}}{(m_{1}+m_{2})}$.
Step 2: Analysis
Given $m_{1} = m_{2} = m$.
Step 3: Calculation
$\Delta KE = \frac{1}{2} \frac{m \cdot m \cdot (u_{1}-u_{2})^{2}}{(m+m)} = \frac{m^{2}(u_{1}-u_{2})^{2}}{4m} = \frac{m}{4}(u_{1}-u_{2})^{2}$.
Final Answer: (B)
Loss in Kinetic Energy is $\Delta KE = \frac{1}{2} \frac{m_{1}m_{2}(u_{1}-u_{2})^{2}}{(m_{1}+m_{2})}$.
Step 2: Analysis
Given $m_{1} = m_{2} = m$.
Step 3: Calculation
$\Delta KE = \frac{1}{2} \frac{m \cdot m \cdot (u_{1}-u_{2})^{2}}{(m+m)} = \frac{m^{2}(u_{1}-u_{2})^{2}}{4m} = \frac{m}{4}(u_{1}-u_{2})^{2}$.
Final Answer: (B)
Was this answer helpful?
0
0
Top MET Physics Questions
- A coil of 100 turns and area $2 \times 10^{-2}m^2 $ is pivoted about a vertical diameter in a uniform magnetic field and carries a current of 5A. When the coil is held with its plane in north-south direction, it experiences a couple of 0.33 Nm. When the plane is east-west, the corresponding couple is 0.4 Nm, the value of magnetic induction is [Neglect earth's magnetic field]
- Radiation, with wavelength 6561 $?$ falls on a metal surface to produce photoelectrons. The electrons are made to enter a uniform magnetic field of $3 \times 10^{-4} T$. If the radius of the largest circular path followed by the electrons is 10 mm, the work function of the metal is close to :
- In intrinsic semiconductor at room temperature number of electrons and holes are
- A rope of mass $0.1\, kg$ is connected at the same height of two opposite walls. It is allowed to hang under its own weight. At [he contact point between the rope and the wall, the rope makes an angle $ \theta =10^{\circ} $ with respect to horizontal. The tension in the rope at its midpoint between the walls is
- At great distances from an electric dipole, the electric field strength due to the dipole varies with the distance as
View More Questions
Top MET Questions
- A coil of 100 turns and area $2 \times 10^{-2}m^2 $ is pivoted about a vertical diameter in a uniform magnetic field and carries a current of 5A. When the coil is held with its plane in north-south direction, it experiences a couple of 0.33 Nm. When the plane is east-west, the corresponding couple is 0.4 Nm, the value of magnetic induction is [Neglect earth's magnetic field]
- $\int\limits_{0}^{8}| x -5| d x$ is equal to
- Radiation, with wavelength 6561 $?$ falls on a metal surface to produce photoelectrons. The electrons are made to enter a uniform magnetic field of $3 \times 10^{-4} T$. If the radius of the largest circular path followed by the electrons is 10 mm, the work function of the metal is close to :
- In intrinsic semiconductor at room temperature number of electrons and holes are
- Which of the following product is formed in the reaction $ CH_3MgBr {->[(i)CO_2][(ii)H_2O]} ? $
View More Questions