Home
Class 11
PHYSICS
With the usual notations , check if the ...

With the usual notations , check if the following equation `S_(t) = u + (1)/(2) a ( 2t -1)` is dimensionally correct or not.

Text Solution

AI Generated Solution

To check if the equation \( S_t = u + \frac{1}{2} a (2t - 1) \) is dimensionally correct, we need to analyze both sides of the equation in terms of their dimensions. ### Step 1: Identify the dimensions of each term in the equation 1. **Left-Hand Side (LHS)**: - \( S_t \) represents displacement. - The dimension of displacement is \( [L] \) (Length). ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • DIMENSIONS & MEASUREMENT

    CENGAGE PHYSICS|Exercise Exercise 1.2|6 Videos

  • DIMENSIONS & MEASUREMENT

    CENGAGE PHYSICS|Exercise Exercise 1.3|17 Videos

  • DIMENSIONS & MEASUREMENT

    CENGAGE PHYSICS|Exercise Integer|2 Videos

  • CENTRE OF MASS

    CENGAGE PHYSICS|Exercise INTEGER_TYPE|1 Videos

  • FLUID MECHANICS

    CENGAGE PHYSICS|Exercise INTEGER_TYPE|1 Videos

Similar Questions

Explore conceptually related problems

Equation s_t=u + at - 1/2 a does not seem dimensionally correct, why?

Test the dimensional consistency of the following equations: s= ut + (1/2) at^2

Knowledge Check

  • With the usual notations the following equation S_(t)=u+1/2a(2t-1) is

    A
    Only numerically correct
    B
    Only dimensionally correct
    C
    Both numerically and dimensionally correct
    D
    Neither numerically nor dimensionally correct

  • [M^1 L^2 T^(-2)] is dimensional formula of

    A
    Reynold Number
    B
    instensity of wave
    C
    angular impulse
    D
    torque

  • [ML^(2)T^(-3)A^(-1)] is the dimensional formula for

    A
    Capacitance
    B
    Resistance
    C
    Resistivity
    D
    Potential difference

    • Similar Questions

    Explore conceptually related problems

    Test the dimensional consistency of the following equations: v^2 - u^2 - 2as .

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

    Using dimensional analysis, check the correctness of the following relations : (i) S_(nth) = u+(a)/(2) (2n-1) (ii) lambda = h//m upsilon (ii) = mc^2 where the symbole have their usual menaings.]

    Check the dimensional consistency of the following equations : (i) upsilon = u +at (ii) s = ut +(1)/(2) at^2 (iii) upsilon^2 - u^2 = 2as

    [ML^(-1)T^(-2)) is the dimensional formula of

    Home
    Profile