Home
Class 11
PHYSICS
Check the correctness of the equation 1/...

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

Text Solution

Verified by Experts

Dimensional formula for
`1/2 mv^2 = [M][LT^(-1)]^2 = [ML^2 T^(-2)]`
Dimensional formula for
`mgh = [M] [LT^(-2)][L] = [ML^2 T^(-2)] `
`[ML^2 T^(-2)] = [ML^2 T^(-2)]`
Both sides are dimensionally the same, hence the equations `1/2 mv^2 = mgh` is dimensionally correct.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SAMPLE PAPER 11 (UNSOLVED)

    FULL MARKS|Exercise Part III|9 Videos

  • SAMPLE PAPER 11 (UNSOLVED)

    FULL MARKS|Exercise Part IV|10 Videos

  • SAMPLE PAPER 11 (UNSOLVED)

    FULL MARKS|Exercise Part IV|10 Videos

  • SAMPLE PAPER -6 (SOLVED)

    FULL MARKS|Exercise PART-IV|12 Videos

  • SAMPLE PAPER 13 (UNSOLVED)

    FULL MARKS|Exercise Part -IV|10 Videos

Similar Questions

Explore conceptually related problems

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

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

Knowledge Check

  • Which of the following cannot be verified by using dimensional analysis?

    A
    `s = ut + 1/2 at`
    B
    y = a sin `omega `t
    C
    `F = (mv^(2))/(r)`
    D
    F =ma

    • Similar Questions

    Explore conceptually related problems

    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.

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

    Write any two uses of dimensional analysis.

    Check the following equation by dimensional analysis method: E = mc^(2)

    The force F acting on a body moving in a circular path depends on mass of the body (m), velocity (v) and radius (r) of the circular path. Obtain the expression for the force by dimensional analysis method. (Take the value of k=1)

    Explain the principle of homogenity of dimensions and deriye an expression for the force F acting on a body moving in a circular path depending on the mass of the body (m), velocity (v) and radius (r) of the circular path. Obtain the expression for the force by the dimensional analysis method (take the value k = 1)

    Explain the principle of homogenity of dimensions and derive an expression for the force F acting on a body moving in a circular path depending on the mass of the body (m) , velocity (9v) and radius (r ) of the circular path. Obtain the expression for the force by the dimensional analysis method (take the value k=1 )

    Home
    Profile