AI Mentor

Check Your IQ

Free Expert Demo

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Offline Centres

A ball moving translationally collides elastically with another stationary ball of the same mass. At the moment of impact the angle between the straight line passing through the centers of the balls and the direction of the initial motion of the striking ball equal to $α = 45^{0}$ . Assuming the balls to be smooth, Find the fraction $η$ of the kinetic energy of the striking ball that turned into potential energy at the moment of the maximum deformation

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

$0.5$

$0.75$

$0.25$

answer is B.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Let the velocity of the colliding ball be $u$ . Applying the law of conservation of momentum along $x$ -axis, we have

$m u \cos (α) + 0 = m v_{1 x} + m v_{2 x}$

At the maximum deformation

$v_{1 x} = v_{2 x} v_{1 x} = \frac{u \cos α}{2}$

Initial K.E. of the system

$= \frac{1}{2} m u^{2}$

Final K.E. of the system

$= \frac{1}{2} m {v_{1 x}}^{2} + \frac{1}{2} m {v_{2 x}}^{2} = \frac{m u^{2} \cos^{2} α}{4}$

now $η = \frac{[\frac{m u^{2} \cos^{2} α}{4}]}{\frac{1}{2} m u^{2}}$ =0.25

Watch 3-min video & get full concept clarity

courses

No courses found

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Get Expert Academic Guidance – Connect with a Counselor Today!