Question

Check the correctness of the equation V-u+ at using dimensional analysis method. ​

Answer 1

$\large\underline\pink{Question:-}$

Check the correctness of the equation V-u+ at using dimensional analysis method.

$\large\underline\blue{Answer:-}$

Given equation is v = u + at

L.H.S= V

= [L¹M°T-¹]--- (1)

R.H.S = u + a

[R.H.S] = [L¹M°T-¹] + [L¹MºT-²] [L°M°T¹]

[R.H.S] = [L¹M°T^-¹]-----(2)

From (1) and (2) we have [L.H.S.] = [R.H.S.]

Hence by principle of homogeneity the given equation is dimensionally correct.

Good Evening siso ❤️

Answer 2

Explanation:

To check the correctness of physical equation, v = u + at, Where 'u' is the initial velocity, 'v' is the final velocity, 'a' is the acceleration and 't' is the time in which the change occurs. From (1) and (2) we have [L.H.S.] = [R.H.S.] Hence by principle of homogeneity the given equation is dimensionally correct.