# A Particle Moves with a Constant Velocity Parallel to the X-axis. Its Angular Momentum with Respect to the Origin - Physics

MCQ
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A particle moves with a constant velocity parallel to the X-axis. Its angular momentum with respect to the origin ____________.

#### Options

• is zero

• remains constant

• goes on increasing

• goes on decreasing

#### Solution

remains constant

For angular momentum, we have

$\overrightarrow{L} = m\left( \overrightarrow{r} \times \overrightarrow{v} \right)$

$\overrightarrow{v} = v \hat i\text{ and }\overrightarrow{r} = x \hat i + y \hat j$

So,$\overrightarrow{L} = - mvy \hat k$

m, v and y are constant; therefore, angular momentum remains constant.

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#### APPEARS IN

HC Verma Class 11, 12 Concepts of Physics 1
Chapter 10 Rotational Mechanics
MCQ | Q 3 | Page 193