Impulse
Impulse is defined as the change in momentum of an object. It is the product of the force applied to an object and the time interval over which the force acts. Mathematically, impulse (J) can be expressed as:

J = F * Δt

Where:
J = Impulse
F = Force
Δt = Time interval

Dimensions of Impulse
Dimensions refer to the units in which a physical quantity is measured. In order to determine the dimensions of impulse, we need to analyze the dimensions of force and time.

Dimensions of Force
Force is defined as the rate of change of momentum. Mathematically, force (F) can be expressed as:

F = Δp / Δt

Where:
F = Force
Δp = Change in momentum
Δt = Time interval

The dimensions of momentum (p) are the same as the dimensions of mass (m) times velocity (v), which can be expressed as:

p = m * v

Therefore, the dimensions of force can be calculated as:

[F] = [Δp] / [Δt] = [m * v] / [Δt] = [m * (L * T^(-1))] / [T] = [m * L * T^(-2)]

Where:
[m] = Mass (M)
[L] = Length (L)
[T] = Time (T)

Therefore, the dimensions of force are [M * L * T^(-2)].

Dimensions of Time
Time is a scalar quantity that is measured in seconds (s). Its dimensions are represented as [T].

Dimensions of Impulse
Now, let's substitute the dimensions of force and time into the equation for impulse:

[J] = [F] * [Δt] = [M * L * T^(-2)] * [T] = [M * L * T^(-1)]

Comparing the dimensions of impulse, force, momentum, energy, and acceleration, we can conclude that the dimensions of impulse are the same as the dimensions of momentum (option B).