NTA Abhyas JEE Main2020PhysicsElectromagnetic InductionPractice
A metallic V shaped rod OAC is rotated with respect to one of its end in a uniform magnetic field, such that axis of rotation is parallel to the direction of magnetic field. Length of each arm of the rod is L and the angle between the arms is 60 ° . P is the mid-point of section AC. The magnitude of the magnetic field is B. Then choose the incorrect relation.
Options
- AV A - V 0 = ω B L 2 2
- BV A - V C = ω B L 2 2
- CV C - V P = ω B L 2 8
- DV A - V P = ω B L 2 8
Correct answer
B. V A - V C = ω B L 2 2
Step-by-step solution
O A = O C = L ; O P = 3 L 2 V A - V 0 = ω B L 2 2 V A - V C = 0 V C - V 0 = ω B L 2 2 V P - V 0 = ω B 2 3 L 2 4 = 3 ω B L 2 8 V C - V P = V C - V 0 - V P - V 0 = ω B L 2 2 - 3 ω B L 2 8 = ω B L 2 8 V A - V P = V A - V 0 - V P - V 0 = ω B L 2 2 - 2 ω B L 2 8 = ω B L 2 8