An object, initially at rest, explodes into three fragments of equal mass. The momenta of two parts are 2 p i ^ and p j ^ where p is a positive number. The momentum of the third part is

Question

An object, initially at rest, explodes into three fragments of equal mass. The momenta of two parts are 2 p i ^ and p j ^ where p is a positive number. The momentum of the third part is, Will be of the magnitude 3 p inclined at tan - 1 ⁡ 1 2 with x -axis, Will be of the magnitude 5 p inclined at tan - 1 ⁡ 2 with x -axis, Will be of magnitude 3 p inclined at π - tan - 1 ⁡ 1 2 with x -axis, Will be of magnitude 5 p inclined at π - tan - 1 ⁡ 1 2 will x -axis

MARKS App · Accepted Answer

From the figure, the momentum of third part can be represented by vector OA . Using the law of conservation of linear momentum. Magnitude of O A = 2 p 2 + p 2 = 5 p tan ⁡ θ = 1 2 θ = tan - 1 ⁡ 1 2 Therefore, option will be of magnitude 5 p inclined at π - tan - 1 ⁡ 1 2 with x -axis is correct.

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