Which law does this diagram illustrate?
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a.
elliptical paths, such as those followed by planets around the sun, take longer when the smaller object (the planet) is closer to the larger object (the sun) due to the universal force of gravity.

b.
as planets orbit the sun, they follow an elliptical path with the sun as one focus. the path takes a greater amount of time closer to the sun than farther away from it.

c.
the space-time warp causes the grid areas at each of the two foci to be of unequal size when the planet travels its elliptical path.

d.
as planets orbit the sun, they follow an elliptical path with two foci. an equal area is swept out in an equal amount of time by the planet at both foci.

Here, the diagram shows Kepler's first law of Planetary motion, which tells, "A line segment joining a planet and the Sun sweeps out equal areas during equal intervals of time".

In short, Your Answer would be Option D

Hope this helps!

The magnitude of the magnetic torque on the loop when the plane of its area is perpendicular to the magnetic field is 0.4713 J

Explanation:

Given;

radius of the circular loop of wire = 0.5 m

current in circular loop of wire = 2 A

strength of magnetic field in the wire = 0.3 T

τ = μ x Bsinθ

where;

τ is the magnitude of the magnetic torque

μ is the dipole moment of the magnetic field

θ is the inclination angle, for a plane area perpendicular to the magnetic field, θ = 90

μ = IA

where;

I is current in circular loop of wire

A is area of the circular loop = πr² = π(0.5)² = 0.7855 m²

μ = 2 x 0.7885 = 1.571 A.m²

τ = μ x Bsinθ =  1.571 x 0.3 sin(90)

τ = 0.4713 J

Therefore, the magnitude of the magnetic torque on the loop when the plane of its area is perpendicular to the magnetic field is 0.4713 J