NTA Abhyas JEE Main2020PhysicsUnits and DimensionsPractice
If C , R , L a n d I denote capacity, resistance, inductance and electric current respectively, the quantities having the same dimensions of time among the following are (1) C R (2) L R (3) L C (4) L I 2
Options
- A(1) and (2) only
- B(1) and (3) only
- C(1) and (4) only
- D(1), (2) and (3) only
Correct answer
D. (1), (2) and (3) only
Step-by-step solution
C = M - 1 L - 2 T 4 A 2 , R = M L 2 T - 3 A - 2 L = M L 2 T - 2 A - 2 a n d I = M 0 L 0 T 0 A 1. C R = M - 1 L - 2 T 4 A 2 M L 2 T - 3 A - 2 = M 0 L 0 T A 0 2. L R = M L 2 T - 2 A - 2 M L 2 T - 3 A - 2 = M 0 L 0 T A 0 3. LC = ML 2 T - 2 A - 2 × M - 1 L - 2 A 2 1 / 2 = M 0 L 0 T A 0 4. L I 2 = M L 2 T - 2 A - 2 M 0 L 0 T 0 A 1 2 = M L 2 T - 2 A 0