Check whether the relation S = ut + (1)/...

Check whether the relation `S = ut + (1)/(2) at^(2)` is dimensionally correct or not , where symbols have their usual meaning .

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To check whether the relation \( S = ut + \frac{1}{2} at^2 \) is dimensionally correct, we will analyze the dimensions of both sides of the equation step by step. ### Step 1: Identify the dimensions of \( S \) - The left-hand side (LHS) of the equation is \( S \), which represents distance or displacement. - The dimension of distance (or displacement) is given by: \[ [S] = [L] = M^0 L^1 T^0 \] ...

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The correct combination is (symbols have their usual meanings)

`Q_(1)= Q_(2)= Q_(3) and V_(1)= V_(2) = V_(3)= V`

`Q_(1)= Q_(2) + Q_(3) and V= V_(1) + V_(2) + V_(3)`

`Q_(1) =Q_(2) + Q_(3) and V= V_(1) +V_(2)`

`Q_(2)=Q_(3) and V_(2)=V_(3)`

Selcet the incorrect relation. (Where symbols have their usual meanings).

`C_p = (gammaR)/(gamma-1)`

`C_P - C_V = R`

`DeltaU = (P_fV_f - P_iV_i)/(1-gamma)`

`C_v = R/(gamma-1)`

Choose the correct arrangement, where the symbols have their usual meanings

`vecu gt u_(p) gt u_(rms)`

`u_(rms) gt vecu gt u_(p)`

`u_(p) gt vecu gt u_(rms)`

`u_(p) gt u_(rms) gt vecu`