Final answer:
According to Faraday's law of electromagnetic induction, the induced emf for a jet with a 75.0 m wingspan flying at 280 m/s in a vertical magnetic field of 3.00 x 10^-5 T is calculated to be 0.63 V. This result does not match any of the provided multiple-choice options, suggesting an error in the question or the options.
Step-by-step explanation:
The question involves the concept of electromagnetic induction in physics. Specifically, it asks about the electromotive force (emf) induced in the wings of a jet airplane flying through the Earth's magnetic field.
This scenario relates to Faraday's law of induction, which states that an emf is induced in a conductor when it experiences a change in magnetic flux.
The formula to calculate the induced emf (E) when a conductor with length (l) moves at velocity (v) through a magnetic field (B) with component perpendicular to the motion is given by E = B * l * v. Applying this to a jet airplane with a wingspan (l) of 75.0 m, flying at a velocity (v) of 280 m/s through the Earth's magnetic field with a vertical component (B) of 3.00 x 10-5 T, we find the induced emf.
To calculate the induced emf, we can use the given values:
- l = 75.0 m (wingspan of the airplane)
- v = 280 m/s (velocity of the airplane)
- B = 3.00 x 10-5 T (vertical component of the Earth's magnetic field)
Plugging these into the formula, we get:
E = B * l * v = 3.00 x 10-5 T * 75.0 m * 280 m/s = 0.63 V
However, this answer does not match any of the provided options. We need to double-check the calculations. Since the question implies that the entire wingspan is moving through the magnetic field at once, the formula can directly be applied.
E = 3.00 x 10-5 T * 75.0 m * 280 m/s = 0.63 V
It appears that the result obtained does not match the list of available options, hence there might be an error in the question or the provided options.