PLZ SOLVE Q 17, 18, & 19

PLZ SOLVE Q 17, 18, & 19 17. IS. 19. potential energy of a particle varies with distancc x from a fixed origin . where A and B are constants. The dimension of A/B is (A) MI-so T' The dimension of — is (A) MLitt dimension of ML@T'

Dear Student,

H e r e x a n d B h a s s a m e d i m e n s i o n o f L S o \frac{d i m e n s i o n o f A \times d i m e n s i o n o f \sqrt{x}}{d i m e n s i o n o f x} = [M L^{2} T^{- 2}] o r d i m e n s i o n o f A = [M L^{5 / 2} T^{- 2}] 17 . d i m e n s i o n o f \frac{A}{B} = \frac{[M L^{5 / 2} T^{- 2}]}{[L]} = [M L^{3 / 2} T^{- 2}] 18 . d i m e n s i o n o f \frac{A}{B^{2}} = \frac{[M L^{5 / 2} T^{- 2}]}{[L^{2}]} = [M L^{1 / 2} T^{- 2}] 19 . d i m e n s i o n o f \frac{A^{2}}{B} = \frac{[M^{2} L^{5} T^{- 4}]}{[L]} = [M^{2} L^{4} T^{- 4}]

Regards