Question

The energy(E) is related to displacement (X) and time (t) by the equation E = ax^2 + b/t find the dimensional formula of a and b​

Answer 1

E= ax² + b/t .....

THEREFORE

DIMENSIONal formula of (E )= (ax²) and

(E ) = b/t

Now ,

Dimensional formula of energy = M¹L²/T²

Now ax² = M¹L²/T²

X = DISPLACEMENT SO ITS DIMENSION = L¹

●DIMENSIONS of a = M¹L²/T²÷L²

= M¹/T²...

N similarly equating DIMENSIONS of

Energy and b/t

M¹L²/T² = b/T¹

● DIMENSIONS of b = M¹L²/T .....

HOPE THIS WILL HLP .....

Sorry for the convolution ....