MHT CET202019 Oct 2020Morning ShiftPhysicsCurrent ElectricityActual
Moving coil galvanometers M ₁ and M ₂ have resistance, number of turns, area of coil and magnetic field as follows. R ₁=10 , R ₂=14 , N ₁=30, ~N ₂=42 A ₁=3 6 10⁻³ ~m ², ~A ₂=1 8 10⁻² ~m ², ~B ₁=0 25 ~T , ~B ₂=0 50 ~T (Spring constants are same for both materials) The ratio of (i) current sensitivity and (ii) voltage sensitivity for galvanometer ( M ₂ . to . M ₁ ) is respectively
Options
- A1: 1, 1 4: 1
- B1: 1 4 , 1: 1
- C4: 11: 1
- D1 4: 11: 1
Correct answer
D. 1 4: 11: 1
Step-by-step solution
(D) We know, L = ₀ ~N ² A If x is the length of the wire and a is the area of cross section R = x a m = axD Rm = x a axD x = Rm D Also, x=2 r N N = x 2 r = ₀ ( x 2 r )² r ² = ₀ 4 Rm D