A particle moves with a constant velocity parallel to the X-axis. Its

1.	A particle moves with a constant velocity parallel to the X-axis. Its angular momentum with respect to the origin(a) is zero (b) remains constant(c) goes on increasing (d) goes on decreasing
Answer» Answer ⇒ Option (b). Remains Constant. Explanation ⇒ ACCORDING to the question, the particle moves with a constant velocity along a STRAIGHT line, therefore the distance of the line from the origin will remains constant. Thus, The linear momentum of the particle which will GIVEN by the expression, m × v is constant. ∴ The angular momentum of the particle about the origin will be equals to = moment of the linear momentum about origin. = Momentum × Distance of line from the Origin. = p × R = m × v × r = constant. Hence, the answer is option (b). Hope it helps.

A particle moves with a constant velocity parallel to the X-axis. Its angular momentum with respect to the origin(a) is zero (b) remains constant(c) goes on increasing (d) goes on decreasing

Answer»

Answer ⇒ Option (b). Remains Constant.

Explanation ⇒ ACCORDING to the question, the particle moves with a constant velocity along a STRAIGHT line, therefore the distance of the line from the origin will remains constant.

Thus, The linear momentum of the particle which will GIVEN by the expression, m × v is constant.

∴ The angular momentum of the particle about the origin will be equals to = moment of the linear momentum about origin.

= Momentum × Distance of line from the Origin.

= p × R

= m × v × r

= constant.

Hence, the answer is option (b).

Hope it helps.

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