de-Broglie wavelength associated with an electron accelerated through a potential difference V is X. What will be its wavelength when the accelerating potential is increased to 4 V? That is, wavelength is inversely proportional to the square -root of potential.

0. 153nm.

## When an electron is accelerated through a potential?

An electron accelerated through a potential difference V passes through a uniform transverse magnetic field and experiences a force F. If the accelerating potential is increased to 2V, the electron in the same field will experience a force. F′F=√2 or F′=√2F.

## When the velocity of an electron increases its de Broglie wavelength?

So if the velocity of the electron increases, the de Broglie wavelength decreases.

## What is the de Broglie equation?

In 1924, French scientist Louis de Broglie (1892–1987) derived an equation that described the wave nature of any particle. Particularly, the wavelength (λ) of any moving object is given by: λ=hmv. In this equation, h is Planck’s constant, m is the mass of the particle in kg, and v is the velocity of the particle in m/s …

## Are matter waves faster than light?

in classical mechanics there is no limit for speed. once you insert the relativistic energy: E=mc^2+(p^2 c^2)^2 you see that matter waves can not travel faster than light. No massive particle known exceeds the speed of light.

## Does wavelength depend on mass?

So λ depends on mass of the particle.

## What is the relationship between mass and wavelength?

Louis de Broglie showed that the wavelength of a particle is equal to Planck’s constant divided by the mass times the velocity of the particle. The electron in Bohr’s circular orbits could thus be described as a standing wave, one that does not move through space.

## Is equal to MC Square is called?

E = mc2 Explained. E = mc2. It’s the world’s most famous equation, but what does it really mean? “Energy equals mass times the speed of light squared.” On the most basic level, the equation says that energy and mass (matter) are interchangeable; they are different forms of the same thing.

## What is the relation between wavelength frequency and velocity?

For a constant wavelength, Increase in frequency will increase in velocity of the wave. Example: For a constant wavelength, If the frequency is doubled. The velocity of the wave will also double.

## What is the velocity of a wavelength?

The velocity of light, v, is the product of its wavelength, λ , and its frequency, f. This means that the wavelength is the velocity, v, divided by the frequency, f.

## How does the velocity of sound depends on its frequency?

velocity depends on the frequency, and, for a fixed wavelength , velocity will more if the frequency will be more, velocity = frequency * wavelength, so, if frequency will increase, velocity will increase.

## What are the factors affecting velocity of sound?

Factors Affecting the Speed of Sound in Gas

• Effect of density on speed of sound – result. v=ργP.
• Effect of temperature on speed of sound – result. VT2=VT1+0.
• Effect of humidity on speed of sound – result. Speed of sound increases in proportion to humidity in air.
• Effect of direction of wind on speed of sound – result.
• Factors not affecting the speed of sound – result.

## What is the velocity of sound in vacuum?

zero meters per second

## What factors will affect the velocity of ultrasonic waves?

Calegari et al. (2011) reported that moisture content and density are the main and second factors that affect the ultrasonic wave velocity, respectively.

## How do the following factors affect the velocity of sound in air?

(i) The frequency of the sound wave does not affect the speed of sound. An increase in wave frequency will cause the wavelength to decrease, but the wave speed will remain constant. So there is no effect.