In the given relation a = bt + X, a represents a physical quantity measured in metres (m), t represents time measured in seconds (s), and X represents a constant term in metres (m).
To determine the SI unit of b, we can rearrange the equation to isolate b:
a = bt + X
a - X = bt
b = (a - X) / t
The SI unit of b can be found by examining the units of a, X, and t in the equation.
The unit of a is metres (m).
The unit of X is also metres (m).
The unit of t is seconds (s).
By substituting these units into the equation, we have:
b = (m - m) / s
b = 0 / s
b = 0
Therefore, the SI unit of b is 0.
Alert - correct answer should be "0"