Explanation

In a series RLC circuit, when the value of inductive reactance (XL) is equal to (XC)

it is the condition of series resonance.

Under such conditions, the impedance of the circuit is minimum and equal to the value of resistance (R).

Since the resistance is minimum.

So, the value of the current at resonance is maximum.

Explanation

To determine if a given linear polynomial x−a is a factor of a polynomial f(x), we need to check whether f(a)=0. This is based on the Factor Theorem, which states that n

x−a is a factor of f(x) if and only if  f(a)=0.

Here are the steps to check if  f(x) at x = a is a factor of f(x):

1. Evaluate f(x) at x=a: Substitute a into the polynomial f(x).
2. Calculate f(a).
3. Check the result:

f(a)=0, then x−a is a factor of f(x).

f(a) is not equal to 0, then x−a is not a factor of f(x)

Explanation

Bremsstrahlung or braking radiation is an example of a continuous spectrum.

The spectrum of Bremsstrahlung radiation is continuous

Because the energy of the emitted photons can vary continuously depending on the degree of deceleration of the charged particles.

This leads to a continuous range of wavelengths or frequencies in the emitted radiation, forming a continuous spectrum.

Bremsstrahlung radiation is commonly encountered in X-ray tubes

Where high-energy electrons are decelerated by a target material

Producing X-rays with a continuous spectrum of energies

Explanation

Stokes' Law holds for objects moving through a viscous medium.

This includes liquids such as water, oil, or molasses, as well as gases such as air, provided that the Reynolds number is sufficiently low for the viscous forces to dominate.

Stokes' Law is a principle that describes the drag force experienced by a small spherical object moving through a viscous fluid.

It specifically applies to objects moving at low Reynolds numbers, where the viscous forces dominate over inertial forces.

Explanation

Indicate high-frequency electromagnetic waves:

Adiabatic Process:

An adiabatic process is one in which there is no heat exchange with the surroundings. When a tire bursts suddenly, the air inside the tire expands rapidly without any heat transfer to or from the surroundings.

This rapid expansion without heat exchange is characteristic of an adiabatic process.

Expansion:

The bursting of the tire leads to a sudden increase in volume, which is an expansion process.

Explanation

A circle that passes through all three vertices of a triangle is called as the circumcircle of the triangle.

Explanation

Two matrices are equal if and only if they have the same order and corresponding elements are equal.

Explanation

Given the quadratic equation 

 , the product of the roots can be found using the formula: product of roots = c/a, where "c" is the constant term and "a" is the coefficient of in the quadratic equation.

In this case, the constant term, "c," is 5, and the coefficient of 

x^2 , "a," is 1.

Therefore, the product of the roots is:

product of roots = 5/1 = 5

Thus, the product of the roots of the equation 

 X^2 - 3x + 5 = 0  is 5.