Check whether the relation S - ut - 1-2at2 is dimensionally correct or not- Where symbols have theirusual meaning-

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XI

Physics

Principle of Homogeneity

Check whether...

Question

Check whether the relation $S = u t + \frac{1}{2} a t^{2}$ is dimensionally correct or not. Where symbols have their

usual meaning?

Open in App

Solution

We have $S = u t + \frac{1}{2} a t^{2}$

Checking the dimensions on both sides, $L . H . S . = [M^{0} L^{1} T^{0}]$

R.H.S. = $[L T^{- 1}] [T] + [L T^{- 2}] [T^{2}] = [M^{\circ} L^{1} T^{\circ}] + [M^{\circ} L^{1} T^{\circ}] = [M^{\circ} L^{1} T^{\circ}]$

Comparing the L.H.S. and R.H.S.

Hence the formula is dimensionally correct.

Suggest Corrections

Similar questions

Q. (a) Derive the formula: s = ut + 1/2 at², where the symbols have usual meanings.

Q. Show by using the graphical method that :

s = u t + \frac{1}{2} a t^{2}

where the symbols have their usual meanings.

(a) Derive the formula: $s = u t + \frac{1}{2} a t^{2}$ , where the symbols have usual meanings.

(b) A train starting from stationary position and moving with uniform acceleration attains a speed of 36 km per hour in 10 minutes. Find its acceleration.

Q. Check whether the relation

S = u t + \frac{1}{2} a t^{2}

is dimensionally correct or not, where symbols have their usual meaning.

Q. Derive the following equation for a uniformly accelerated motion, where the symbols have their usual meanings:

s = u t + \frac{1}{2} a t^{2}

Join BYJU'S Learning Program

Check whether the relation S=ut+12at2 is dimensionally correct or not. Where symbols have their usual meaning?

We have S=ut+12at2 Checking the dimensions on both sides, L.H.S.=[M0L1T0] R.H.S. = [LT−1][T]+[LT−2][T2]=[M∘L1T∘]+[M∘L1T∘]=[M∘L1T∘] Comparing the L.H.S. and R.H.S. Hence the formula is dimensionally correct.

Check whether the relation $S = u t + \frac{1}{2} a t^{2}$ is dimensionally correct or not. Where symbols have their

usual meaning?