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

In quantum mechanics, an electron in a one-dimensional infinite potential well (also called a "quantum box" or "particle in a box") has discrete energy levels given by:

$$E_n = frac{n^2 h^2}{8mL^2}$$8mL^2​

Where:

• $n$ = quantum number (for ground state$n=1$)

• $h$ = Planck’s constant

• $m$ = mass of the electron

• $L$ = width of the box

▶ These energy levels depend only on the physical parameters (like mass, size of the box), not on temperature.

The ground state energy (lowest possible energy) is:

E1​=h^2/8mL^2​

Explanation

Explanation

Explanation

Explanation

The de-Broglie wavelength (λ) is given by the formula:

λ = h / (m × v)

Where:

h = Planck's constant = 6.626 × 10^-34 J s

m = mass of the particle = 10^-30 kg

v = velocity of the particle = 10^6 m/s

Substituting the values, we get:

λ = (6.626 × 10^-34 J s) / (10^-30 kg × 10^6 m/s)

= (6.626 × 10^-34 J s) / (10^-24 kg m/s)

= 6.626 × 10^-10 m

So, the de-Broglie wavelength associated with the particle is 6.6×10^-10m.

Explanation

The purpose of using an umbrella in the rain is to protect oneself from getting wet.

Explanation

According to Maxwell's equations, the speed of light in free space is independent of frequency. 

Maxwell's equations predict that light is an electromagnetic wave, and its speed in a vacuum is a constant value, regardless of the frequency of the wave. 

Explanation

Explanation

The range (R) of a projectile is given by:

R = (u² * sin(2θ)) / g

where u is the initial velocity, θ is the projection angle, and g is the acceleration due to gravity.

R = (30² * sin(2*45)) / 10

= (900 * sin(90)) / 10

= 900 / 10

= 90 m