Explanation

Cohesion is the attractive force between molecules of the same substance.

It is strongest in solids due to tightly packed molecules.

Explanation

Mode is the value that occurs most frequently in a dataset.

It represents the most common or popular item in the data.

Explanation

Free and Liberate are synonyms (both mean to set free).

Covered and Concealed are also synonyms (both mean hidden or not visible).

Explanation

The Law of Excluded Middle states that for any proposition, either it is true or its negation is true—no third option exists.

It is a fundamental principle in classical logic.

Explanation

The differential equation (1 - x²)y'' - 2xy' + n(n + 1)y = 0 is known as Legendre's equation.

It arises in problems with spherical symmetry, such as solutions to Laplace’s equation in spherical coordinates.

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

In Simple Harmonic Motion (SHM), instantaneous velocity is maximum when displacement is zero.

This occurs when the phase angle is 90° with respect to displacement (since velocity leads displacement by 90° in SHM).

Explanation

A rocket accelerates in space by expelling exhaust gases backward, which, according to Newton’s third law, produces an equal and opposite force pushing the rocket forward.

This force is called thrust and does not depend on external air or gravity.

Explanation

A small standard deviation means the data is tightly clustered around the mean.

This results in a less spread out (narrower) normal distribution curve.

Explanation

Tremble means غیر ارادی طور پر ہلانا

Shake means غیر ارادی طور پر ہلانا