Option 3. Find the units of momentum by using F L V we get P= FL/V. When force length and velocity are doubled momentum gets doubled.

Changes in Units of Length, Velocity, and Force

To understand the changes in the order of units when the length, velocity, and force are doubled, let's examine the impact on different physical quantities.

1) Unit of Time is Doubled:
When the unit of time is doubled, it does not directly affect the units of length, velocity, and force. Time is an independent quantity and changing its unit does not have any direct consequences on other physical quantities.

2) Unit of Mass is Doubled:
Doubling the unit of mass has an impact on the unit of force, but not on length or velocity. Force is directly proportional to mass and acceleration (F = m*a). When the mass is doubled, the force required to produce the same acceleration also doubles. Therefore, the unit of force will also double.

3) Unit of Momentum is Doubled:
Momentum is defined as the product of mass and velocity (p = m*v). When the unit of momentum is doubled, it means that either the unit of mass or velocity or both have been doubled. Since momentum depends on both mass and velocity, doubling the unit of momentum implies that either mass or velocity has been doubled, or both have been increased by a factor of √2.

4) Unit of Energy is Doubled:
Energy can be expressed in terms of force and distance (E = F*d). When the unit of energy is doubled, it means that either the unit of force or the unit of distance or both have been doubled. Since energy depends on both force and distance, doubling the unit of energy implies that either force or distance has been doubled, or both have been increased by a factor of √2.

Summary:
1) Doubling the unit of time does not affect the units of length, velocity, and force.
2) Doubling the unit of mass doubles the unit of force.
3) Doubling the unit of momentum implies that either mass or velocity or both have been doubled.
4) Doubling the unit of energy implies that either force or distance or both have been doubled.