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

Verified by Experts

The correct Answer is:
A, B, C, D
` S_(t) = {ut + (1)/(2) at^(2)} - {u(t-1) + (1)/(2) a (t-1)^(2)}`
` = (u+ at-(1)/(2)a)`
Equation is dimensionally correct.
Promotional Banner

Topper's Solved these Questions

  • UNIT AND DIMENSIONS

    DC PANDEY ENGLISH|Exercise Assertion And Reason|2 Videos

  • UNIT AND DIMENSIONS

    DC PANDEY ENGLISH|Exercise More Than One Correct|5 Videos

  • THERMOMETRY,THERMAL EXPANSION & KINETIC THEORY OF GASES

    DC PANDEY ENGLISH|Exercise Level 2 Subjective|9 Videos

  • UNITS, DIMENSIONS & ERROR ANALYSIS

    DC PANDEY ENGLISH|Exercise Medical entrances gallery|32 Videos

Similar Questions

Explore conceptually related problems

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

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

Check whether the following equation is a solution to one dimensional wave equation. y-4x-7t

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

Assertion: The given equation x = x_(0) + u_(0)t + (1)/(2) at^(2) is dimensionsally correct, where x is the distance travelled by a particle in time t , initial position x_(0) initial velocity u_(0) and uniform acceleration a is along the direction of motion. Reason: Dimensional analysis can be used for cheking the dimensional consistency or homogenetly of the equation.

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

Consider the equation T = 2pi sqrt(l/g) and check whether it is correct or not.

Prove the relation, s_t=u + at - 1/2 a.

Which of the following quantity has dimensional formula as (ML^(-1)T^(-2)) ?

In the s-t equations (s=10+20t-5t^(2)) match the following