In a new system of units, if unit of time is halved and units of length and mass are doubled then unit of force in the new system becomes n times of its previous one. Find n.

Question

TestHub · Accepted Answer

n 1 ​ u 1 ​ = n 2 ​ u 2 ​ ⇒ n 1 ​ [ M 1 ​ L 1 ​ T 1 − 2 ​ ] = n 2 ​ [ M 2 ​ L 2 ​ T 2 − 2 ​ ] n 2 ​ n 1 ​ ​ = ( M 1 ​ M 2 ​ ​ ) ( L 1 ​ L 2 ​ ​ ) ( T 2 ​ T 1 ​ ​ ) 2 = 2 × 2 × ( 2 ) 2 = 16 n = 16

Physics - Unit & Dimension Question with Solution | TestHub

Doubts & Discussion