Question

Momentum has the same units as that of
${\text{A.}}$ Impulse
${\text{B.}}$ Torque
${\text{C.}}$ Moment of momentum
${\text{D.}}$ Couple

Answer 1

Hint: For answering these types of questions we must understand the definition, formula and SI unit of momentum, impulse, torque, moment of momentum and couple.

Complete step-by-step answer:
Momentum is defined as the sum of movement of a moving body, measured as a function of its mass and speed. It is the product of an object's mass and velocity. SI unit is $kg \cdot m \cdot {s^{ - 1}}$ .i.e. kilogram meter per second
It is given by, $p = m \times v$, where $p$ is momentum, $m$ is mass and $v$ is velocity.
Impulse is defined as a sudden spontaneous tendency to some normally unpremeditated action or incitement. When applied to an object causes a corresponding vector change in its linear momentum. Its SI unit is Newton second i.e. $N \cdot S$ .Which is equivalent to is $kg \cdot m \cdot {s^{ - 1}}$ .i.e. kilogram meter per second.
It is given by, $\Delta p = F \cdot \Delta t$
Where, $\Delta p$ is change in momentum
$F$ is applied force
$\Delta t$ is changed in time.

Torque is defined as the rate of angular momentum shift for an object. It is the equivalent of linear rotational force. Also known as the moment, moment of force, rotational force or turning effect. SI unit is $kg \cdot {m^2} \cdot {s^{ - 2}}$i.e. kilogram meter square per second square.
It is given by, $\tau = r \cdot F \cdot \operatorname{Sin} \theta$
Where, $\tau$ is torque
$r$ is radius
$F$ is force
$\theta$ is the angle between $F$ and the lever arm.

Moment of momentum tests an object's inclination to spin faster, it defines the rotary inertia of a device in motion around an axis. Total momentum of a closed system remains constant. SI unit is $kg \cdot {m^2} \cdot {s^{ - 2}}$i.e. kilogram meter square per second square.
It is given by, $L = m \cdot v \cdot r$
Where, $L$ is moment of momentum
$m$ is mass
$v$ is velocity
$r$ is radius

Couple refers to two parallel forces which are equal in size, opposite in direction and do not share an action line. The simplest type of couple consists of two opposing and equal forces whose lines of action do not coincide. SI unit is newton metre i.e., $N \cdot m$
It is given by, couple = force perpendicular distance between two forces.

From the given definitions of all the terms we can see the unit of impulse and momentum is the same.
That is SI unit of momentum is $kg \cdot m \cdot {s^{ - 1}}$.i.e. kilogram meter per second and SI unit of Impulse is
$N \cdot S$. which is equivalent to is $kg \cdot m \cdot {s^{ - 1}}$.i.e. kilogram meter per second. Hence option A is the correct answer and the correct answer is Momentum has the same units as that of Impulse.

Note: - In the given question we can observe that the SI unit of the various types of quantities given is a very important part when solving a question related to it. We must always keep in mind that each quantity must be in the same SI unit, if not then we must convert them into the same SI quantity to avoid mistakes.