Velocity of object is given as a function of time and position. \[ V=\alpha t+\beta x+\gamma \] ...

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Velocity of object is given as a function of time and position.
\[
V=\alpha t+\beta x+\gamma
\]
\( \mathrm{P} \)
W
then dimension of \( \alpha, \beta \) and \( \gamma \) are
(1) \( L T^{-2}, T^{-1}, L T^{-2} \)
(2) \( L T^{-2}, T^{-1}, L T^{-1} \)
(3) \( L T^{-1}, L T^{-2}, T^{-1} \)
(4) \( L T^{-1}, L, T \)
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