Explanation

The square root of any prime number is not a perfect square.

Therefore, √𝑝 is irrational, meaning it cannot be expressed as a fraction of two integers.

Explanation

A matrix A is symmetric if its transpose equals itself, i.e., A^T = A.

This means the elements are mirrored across the main diagonal.

Explanation

- f tan xdx = ln[cos x] + C.

This is a standard result from integral calculus involving trigonometric functions.

Explanation

Force is defined as the rate of change of linear momentum with respect to time.

According to Newton’s second law, force causes a change in an object’s momentum.

Explanation

Encounter means کسی چیز کا سامنا کرنا

Experience means کسی واقعہ یا صورتحال سے گزرنا یا اس کا سامنا کرنا

Explanation

Given the equation x^2 + y^2 = 1, the range of y values is [-1, 1] since y ranges from -1 to 1 as x varies.

Explanation

Charge is quantized and exists in discrete amounts.

The smallest possible charge is that of a single electron or proton, which is 1.6 × 10−¹⁹C.

Explanation

The X-axis and Y-axis intersect at the point (0, 0), known as the origin.

It is the central reference point in the coordinate plane.

Explanation

Restoring force 𝐹 = −𝑘𝑥 depends on displacement 𝑥.

At the mid position, x = 0, so restoring force is minimum (zero).

Explanation

The change in wavelength (Δλ) is given by the formula: Δλ = h/m0c (1 - cosθ), where θ is the scattering angle.

The maximum change in wavelength occurs when cosθ is -1, which happens when θ = 180°.