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. A particle of mass m moving eastward with a speed v collides with another particle of the same mass moving northward with the same speed v' . The two particles coalesce on collision. The new particle of mass 2 m will move in the north-easterly direction with a velocity

a
−v/2
b
v /2
c
V/2
d
none of the above

detailed solution

Correct option is C

Applying the law of conservation of momentum along X and Y axes, we get mv=(2m)v′cos⁡θ and mv=(2m)v′sin⁡θ ∴ tan⁡θ=1  or  θ=tan−1⁡(1)=45∘  Further V′=V2cos⁡θ=2⋅V2=V2

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