Question

# A particle of mass m is projected from the ground with initial linear momentum p (magnitude) such that to have maximum possible range. Its minimum kinetic energy will be

A
p22m
B
p24m
C
p2m
D
p26m

Solution

## The correct option is B p24mRange will be maximum when angle of projection is 45∘. Let u be the initial velocity with which the particle is projected. Initial linear momentum is given by p=mu pmin=mu cos 45∘=mu√2=p√2 Kmin=p2min2m=(p√2)22m=p24mPhysics

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