A particle of mass with an initial velocity collides perfectly elastically with a mass at rest. It moves with a velocity after collision, then is given by:
Step 1: Given data:
Mass of particle,
Mass of particle,
Initial velocity of particle,
Final velocity of particle,
Initial velocity of particle,
Final velocity of particle,
Step 2: Evaluating the given conditions:
We know from the conservation of Kinetic Energy,
Putting values in the above equation from given data, we get
…
Step 3. Find the value of :
Now, from the conservation of the Linear Momentum in x-direction, we have
Putting values in above equation from given data, we get
…
Step 4. Find the value of :
Again, from the conservation of Linear Momentum in y-direction, we have
Putting values in the above equation from given data, we get
…
Step 4. Find the final velocity of particle
From Resolution of Vectors, we get
From eq. and , we get
Putting above value of in eq. we get
⇒
⇒
⇒
⇒
Hence, Option is the Correct Answer.