Explanation

Given the product of two complex numbers (x + iy) and (x' + iy') is zero:

(x + iy)(x' + iy') = 0

This implies either (x + iy) = 0 or (x' + iy') = 0.

Therefore, at least one of the complex numbers must be zero.

Explanation

A D.C. generator uses split rings (commutator) to reverse the current direction in the coil every half rotation.

This ensures that the output current flows in one direction (direct current).

Explanation

Two parallel conductors carrying current in the same direction attract each other due to magnetic fields they produce.

If currents flow in opposite directions, the force would be repulsive.

Explanation

The Laplace equation is a 2nd order partial differential equation, given by:

∇²u = 0 or ∂²u/∂x² + ∂²u/∂y² + ∂²u/∂z² = 0

Explanation

Magnetic flux linked (Φ) is proportional to the number of turns in the coil.

Doubling the number of turns doubles the total flux linked, assuming the magnetic field and area remain the same.

Explanation

The absorption of X-rays in a given material follows an exponential curve, described by the Beer-Lambert law:

I(x) = I₀ × e^(-μx)

where I(x) is the intensity of the X-rays after passing through a thickness x of the material, I₀ is the initial intensity, μ is the linear attenuation coefficient, and x is the thickness of the material.

Explanation

Given the object's speed is 8 m/s after 1 second, we can determine the acceleration due to gravity on this planet is 8 m/s², since it starts from rest (0 m/s).

To find the speed after 3 seconds, we use the formula: speed = initial speed + acceleration × time

Initial speed = 0 m/s (since it's dropped)

Acceleration = 8 m/s²

Time = 3 seconds

Speed after 3 seconds = 0 + 8 × 3 = 24 m/s

Explanation

Since ΔU = 0 for a cyclic process, Q = W.

The gas absorbs 50 J of energy as heat and does 50 J of work, where Q = W = 50 J.

The best answer is The gas absorbs 50 J of energy as heat and does 50 J of work.

Explanation

Explanation

Mode is the value that appears most frequently in a data set.

It represents the highest frequency among all values.