A particle of mass \( m \) moving eastward with a speed \( v \) collides with another particle o...

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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 [NCERT 1980;
CPMT 1991; MP PET 1999; DPMT 1999, 2005]
(a) \( v / 2 \)
(b) \( 2 v \)
(c) \( v / \sqrt{2} \)
(d) \( v \)
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