Home
Class 12
PHYSICS
The balls, having linear momenta vecp1=v...

The balls, having linear momenta `vecp_1=vecpi and vecp_2_2=-vecpi`, undergo a collision in free space. There is no external force acting on the balls. Let `vecp'_1 and vec p'_2` be their final momenta.The following option (s) is (are) NOT ALLOWED for any non-zero value of `p, a_1, a_2, b_1, b_2, c_1 and c_2`.

A

`vecp_1'=a_1 hati+b_1 hatj + c_1 hatk , vecp_2'= a_2hati+b_2hatj`

B

`vecp_1'=c_1 hatk , vecp_2' = c_2hatk`

C

`vecp_1' =a_1hati+b_1hatj + c_1 hatk , vecp_2'= a_2hati+b_2hatj-c_1 hatk`

D

`vecp_1' = a_1hati+b_1hatj , vecp_2'= a_2hati+ b_2hatj`

Text Solution

Verified by Experts

The correct Answer is:
A, B
Promotional Banner

Topper's Solved these Questions

  • CENTER OF MASS

    RESNICK AND HALLIDAY|Exercise Practice Questions (Linked Comprehension)|6 Videos
  • CENTER OF MASS

    RESNICK AND HALLIDAY|Exercise Practice Questions (Matrix-Match )|1 Videos
  • CENTER OF MASS

    RESNICK AND HALLIDAY|Exercise Practice Questions (Single Correct Choice )|47 Videos
  • CAPACITANCE

    RESNICK AND HALLIDAY|Exercise PRACTICE QUESTION (INTEGER TYPE)|3 Videos
  • CIRCUITS

    RESNICK AND HALLIDAY|Exercise Practice Questions (Integer Type)|3 Videos

Similar Questions

Explore conceptually related problems

Two balls having linear momenta vecp_(1)=phati and vecp_(2)=-phati, undergo a collision in fre space. There is no external force acting on the ball. Let vecp_(1)^(') and vecp_(2)^(') be their final moment. Which of the following option(s) is (are) NOT ALLOWED for an non zero value of p,a_(1),a_(2),b_(1),b_(2), c_(1) and c_(2).

Two balls , having linear momenta vec(p)_(1) = p hat(i) and vec(p)_(2) = - p hat(i) , undergo a collision in free space. There is no external force acting on the balls. Let vec(p)_(1) and vec(p)_(2) , be their final momenta. The following option(s) is (are) NOT ALLOWED for any non -zero value of p , a_(1) , a_(2) , b_(1) , b_(2) , c_(1) and c_(2) (i) vec(p)_(1) = a_(1) hat(i) + b_(1) hat(j) + c_(1) hat(k) , vec(p)_(2) = a_(2) hat(i) + b_(2) hat(j) (ii) vec(p)_(1) = c_(1) vec(k) , vec(p)_(2) = c_(2) hat(k) (iii) vec(p)_(1) = a_(1) hat(i) + b_(1) hat(j) + c_(1) hat(k) ,vec(p)_(2) = a_(2) hat(i) + b_(2) hat(j) - c_(1) hat(k) (iv) vec(p)_(1) = a_(1) hat(i) + b_(1) hat(j) , vec(p)_(2) = a_(2) hat(i) + b_(1) hat(j)

Prove that the value of each the following determinants is zero: |[a_1,l a_1+mb_1,b_1],[a_2,l a_2+mb_2,b_2],[a_3,l a_3+m b_3,b_3]|

In direct proportion a_1/b_1 = a_2/b_2

If vecP and vecQ denote the sides of parallelogram and its area is (1)/(2) PQ, then the angle between vecP and vecQ is

For any three sets A_1 , A_2 ,A_3 . Let B_1 = A_1 , B_2 = A_2 - A_1 and B_3 = A_3 - A_1 cup A_2 , then which of the following statement is always true ?

Two dipoles vecP_(1) and vecP_(2) are oriented as shown in the figure. Assuming dipole of dipole moment vecP_(2) to be placed at origin and dipole of moment vecP_(1) is at a distance 'd' from origin then

If the equation of the locus of a point equidistant from the points (a_1,b_1) and (a_2,b_2) is (a_1-a_2)x+(b_2+b_2)y+c=0 , then the value of C is

If the tangent and normal to xy=c^2 at a given point on it cut off intercepts a_1, a_2 on one axis and b_1, b_2 on the other axis, then a_1 a_2 + b_1 b_2 = (A) -1 (B) 1 (C) 0 (D) a_1 a_2 b_1 b_2