Solved: PHYSICS Question for NEET

NEET PHYSICSEasy

The velocity of a particle depends upon time as $v = a + bt + ct^2$ ; if the velocity is in m/sec, the unit of $a$ will be:

m/sec

m/sec $^2$

m $^2$ /sec

m/sec $^3$

Principle of Homogeneity: According to the principle of dimensional homogeneity in physics, only physical quantities having the same dimensions (and units) can be added or subtracted. In an equation like $v = a + bt + ct^2$ , every term on the right-hand side ( $a$ , $bt$ , and $ct^2$ ) must have the same dimensions and units as the term on the left-hand side ( $v$ ).
Identify Units: The unit of velocity $v$ is given as m/sec.
Determine Unit of 'a': Since $a$ is added directly to terms that equate to velocity, the unit of $a$ must be identical to the unit of velocity. Therefore, the unit of $a$ is m/sec.

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