Question

Which of the following quantity is variant under Galilean transformation?
O a. Mass
O b. Length interval
O c. Velocity
O d. Acceleration​

Answer 1

Answer:

Thus Newton's Laws of motion are invariant under a Galilean transformation, that is, the inertial mass is unchanged under Galilean transformations. If Newton's laws are valid in one inertial frame of reference, then they are valid in any frame of reference in uniform motion with respect to the first frame of reference

Answer 2

Answer:

Velocity is a variant quantity. Option c. is correct.

Explanation:

• Galilean transformation is a mathematical set associated with the space and time of two systems moving at a constant speed relative to one another.
• It only works on particles with a much slower speed than light speeds.
• The Galilean transformation is very useful as it is used to convert between reference frames' coordinates.

We see that the acceleration, mass, and length are the same in all reference frames of Galilean.

But, the velocity can be different in different inertial frames. This means in the moving frame velocity is  $U_{\alpha }$ and in the stationary frame, it is  $U_{\beta }$.

So, velocity is a variant quantity. Option c. is correct.