Question

P=[b]-x^2/[a]t; derive the dimensional formula of a and b where X is distance ,t is time and p is power

Answer 1

P = a − t2/bx = a − (t2/b)x = a − t2 x/b P is pressure, x is distance and t is time. [P] = [a] ⇒ [a] = [M L−1T −2] [P] = [ t2 x/b] ⇒ [b] = [ t2 x/P] ⇒ [b] = [T2 . L. M−1 L T 2] = [M−1 L2 T 4] [a/b] = [M L−1T −2]/[M−1 L2 T 4] = [M2 L−3 T −6