Explanation

Coincidence means اتفاق

Deliberate means جان بوجھ کر

Divergence means موڑ

Explanation

Dull means سست

Brilliant means شاندار

Interesting means دلچسپ

Explanation

Passage

Hazrat Muhammad (PBUH) knew that goodwill and all the actions of people were necessary for an Islamic state. Hazrat Muhammad (PBUH) knew tolerance was necessary to bring different communities together. With all these objectives in mind, Hazrat Muhammad (PBUH) drafted a charter which is generally known as the Medina Charter.

1. The first sentence of the paragraph is in _____?

Past Tense

2. Communities is a/n ____?

Noun

3. Necessary is a/n _____?

Adjective 

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