A 1.0 m long metallic rod is rotated with an angular frequency of 400 rad /s about an axis normal to the rod passing through its one end. A constant and uniform magnetic field of 0.5 T parallel to the axis exists everywhere. The emf developed across the ends of the rod is

Question

A 1.0 m long metallic rod is rotated with an angular frequency of 400 rad /s about an axis normal to the rod passing through its one end. A constant and uniform magnetic field of 0.5 T parallel to the axis exists everywhere. The emf developed across the ends of the rod is (A) 50 V (B) 100 V (C) 150 V (D) zero

Tardigrade Admin · Accepted Answer

The emf developed across the ends of the rod e=(1/2) B l2 ω =(1/2) × 0.5 ×(1)2 × 400 =100 V

Q. A $1.0 m$ long metallic rod is rotated with an angular frequency of $400 r a d / s$ about an axis normal to the rod passing through its one end. A constant and uniform magnetic field of $0.5 T$ parallel to the axis exists everywhere. The emf developed across the ends of the rod is

50 V

100 V

150 V

zero

The emf developed across the ends of the rod
$e = \frac{1}{2} B l^{2} ω$
$= \frac{1}{2} \times 0.5 \times (1)^{2} \times 400$
$= 100 V$

Q. A 1.0m long metallic rod is rotated with an angular frequency of 400rad/s about an axis normal to the rod passing through its one end. A constant and uniform magnetic field of 0.5T parallel to the axis exists everywhere. The emf developed across the ends of the rod is