A jet plane of wing span ( 20 ~m ) is travelling towards west at a speed of ( 400 ~ms ⁻¹ ). If the earth's total magnetic field is ( 4 10⁻⁴ ~T ) and the dip angle is ( 30^ ), at that place, the voltage difference developed across the ends o

Question

A jet plane of wing span ( 20 ~m ) is travelling towards west at a speed of ( 400 ~ms ⁻¹ ). If the earth's total magnetic field is ( 4 10⁻⁴ ~T ) and the dip angle is ( 30^ ), at that place, the voltage difference developed across the ends of the wing is

Quantrex Academy · Accepted Answer

Correct answer: A. ( 1.6 ~V )

Given, wing span, 1=20 ~m ; speed of jet plane, v=400 ~ms ⁻¹ , Earth's magnetic field, B=4 10⁻⁴ ~T ; angle of dip, =30^ . Now, emf induced e=B_ v l v Here, B_ v =B =4 10⁻⁴ 30^ =4 10⁻⁴ 1 2 =2 10⁻⁴ ~T Therefore, e=2 10⁻⁴ 400 20=16 10⁻¹ ~V =1.6 ~V Thus, voltage difference developed across the ends of the wing is 1.6 ~V

A jet plane of wing span ( 20 ~m ) is travelling towards west at a speed of ( 400 ~ms ⁻¹ ). If the earth's total magnetic field is ( 4 10⁻⁴ ~T ) and the dip angle is ( 30^ ), at that place, the voltage difference developed across the ends of the wing is

Options

Correct answer

Step-by-step solution

More from Mathematics in Physics