If y = α + β t + γ t2, where y is in m and t in s, the unit of γ is

Question

If y = α + β t + &gamma; t2, where y is in m and t in s, the unit of &gamma; is (A) s-2 (B) m s-2 (C) m s-1 (D) m

Tardigrade Admin · Accepted Answer

y = α + β t + &gamma; t2 According to principle of homogeneity &gamma; t2 should have the dimensions of y i.e., &gamma; t2 = [L] or &gamma; T2 = [L] &gamma; = [ LT-2] ∴ Unit of &gamma; is m s-2.

Q. If $y = α + βt + γ t^{2}$ , where y is in m and $t$ in s, the unit of $γ$ is

$s^{- 2}$

$m s^{- 2}$

$m s^{- 1}$

$m$

$y = α + βt + γ t^{2}$
According to principle of homogeneity $γ t^{2}$ should have the dimensions of $y i . e .$ ,
$γ t^{2} = [L]$ or $γ T^{2} = [L]$
$γ = [L T^{- 2}]$
$∴$ Unit of $γ$ is m $s^{- 2}$ .

Q. If y=α+βt+γt2, where y is in m and t in s, the unit of γ is

s−2

ms−2

ms−1

m

y=α+βt+γt2 According to principle of homogeneity γt2 should have the dimensions of yi.e., γt2=[L] or γT2=[L] γ=[LT−2] ∴ Unit of γ is m s−2.

Q. If $y = α + βt + γ t^{2}$ , where y is in m and $t$ in s, the unit of $γ$ is

$s^{- 2}$

$m s^{- 2}$

$m s^{- 1}$

$m$

$y = α + βt + γ t^{2}$
According to principle of homogeneity $γ t^{2}$ should have the dimensions of $y i . e .$ ,
$γ t^{2} = [L]$ or $γ T^{2} = [L]$
$γ = [L T^{- 2}]$
$∴$ Unit of $γ$ is m $s^{- 2}$ .