Two identical particles are moving with same | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) $1$. Velocity of approach: The components of velocity along the line of impact (the horizontal axis) are $v \sin(	heta / 2)$ for both particles t

Vedclass · Accepted Answer

All of the above.

Vedclass · Answer

(D) $1$. Velocity of approach: The components of velocity along the line of impact (the horizontal axis) are $v \sin(	heta / 2)$ for both particles towards each other. Thus,the velocity of approach is $v \sin(	heta / 2) + v \sin(	heta / 2) = 2v \sin(	heta / 2)$.$2$. Velocity of separation: In a perfectly inelastic collision,the particles stick together after the collision,so their relative velocity of separation is $0$.$3$. Common velocity after collision: By the law of conservation of linear momentum along the horizontal axis,let the mass of each particle be $m$. The initial momentum components along the horizontal axis are $mv \cos(	heta / 2)$ and $mv \cos(	heta / 2)$. After the collision,the combined mass is $2m$ moving with velocity $v'$.$mv \cos(	heta / 2) + mv \cos(	heta / 2) = (2m)v'$$2mv \cos(	heta / 2) = 2mv'$$v' = v \cos(	heta / 2)$.Since all statements are correct,the correct option is $D$.

Two identical particles are moving with same velocity $v$ as shown in the figure. If the collision is completely inelastic,then:

Similar Questions

If $f_n(x) = \log \log \log \ldots \log x$ (where $\log$ is repeated $n$ times),then $\int (x f_1(x) f_2(x) \ldots f_n(x))^{-1} dx$ is equal to

The acceptable level of carbon monoxide gas $(CO)$ in the atmosphere in $ppm$ level is

One of the most important functions of botanical gardens is that

Heat energy is incident on the surface at the rate of $1000 ~J/min$. If the coefficient of absorption is $0.8$ and the coefficient of reflection is $0.1$,then the heat energy transmitted by the surface in $5 ~min$ is: (in $~J$)

If $A=\left[\begin{array}{rr}i & -i \\ -i & i\end{array}\right]$ and $B=\left[\begin{array}{rr}1 & -1 \\ -1 & 1\end{array}\right]$,then find $A^8$. (in $B$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module