Home
Class 11
PHYSICS
Check the dimensional correctness for th...

Check the dimensional correctness for the given equation.
(a) `v=u+at`
(b) `s=ut+1/2at^2`

Text Solution

Verified by Experts

a. `v=u+at` Apply dimensional formual on both sides
`[LT^(-1)]=[LT^(-1)]+[LT^(-2)][T]`
`[LT^(-1)]=[LT^(-1)]+[LT^(-1)]`
(Quantities of same dimension only can be added )
Sicne dimensions on both sides are same, the given equation is dimensionally correct.
b.`[L]=[LT^(-1)][T]+[LT^(-2)][T^(2)]`
`[L]=[LT^(-1+1)]+[LT^(-2+2)]`
`[L]=[LT^(0)]+[LT^(0)]`
`:.[L]=[L]+[L]`
Since dimensions on both sides are same the given equation is dimensionally correct.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • NATURE OF PHYSICAL WORLD AND MEASUREMENT

    SURA PUBLICATION|Exercise CONCEPTUAL QUESTIONS|5 Videos

  • MOTION OF SYSTEM OF PARTICLES AND RIGID BODIES

    SURA PUBLICATION|Exercise VALUE BASED QUESTIONS|2 Videos

  • OSCILLATIONS

    SURA PUBLICATION|Exercise VALUE BASED QUESTIONS|2 Videos

Similar Questions

Explore conceptually related problems

Check the dimensional consistency of the following equations. (ii) Escape velocity, v=sqrt((2GM)/(R ))

Check the dimensional consistency of the following equations. (i) de - Broglie wavelength, lambda=(h)/(mv) .

Calculate the dimensional formula of energy from the equation E= 1/2 mv^2 .

State the principle of homogeneity. Test the dimensional homogeneity of equations - (i) s = ut + 1/2 at^(2) (ii) S_(n) = u + a/2 (2n - 1)

Check the correctness of the equation E=mc^(2) using dimensional analysis method.

Using the principle of homogunity of dimensions, check dimensionally the given equations are correct. (a) T^2 = (4pi^2 r^3)/(G) , (b) T^2 = (4pi^2 r^3)/(GM) Here G - gravitational constant r-radius of orbit M - mass

Check the correctness of the equation E= mc^2 using dimensional analysis method.

Check the correctness of the equation (1)/(2) mv^(2) = mgh using dimensional analysis method.

Check the correctness of the equation 1/2 mv^(2) = mgh using dimensional analysis method.

Check the correctness of the following equation using dimensional analysis. Make a comment on it. S= u t+ 1//4 a t^(2) where s is the displacement, u is the initial velocity, t is the time and a is the acceleration produced.

Home
Profile