The electron microscope has been widely used to obtain highly magnified images of biological and other types of materials. when an electron is accelerated through a particular potential field, it attains a speed of 9.76×106 m/s .what is the characteristic wavelength of this electron? (mass of electron is 9.1094×10−31 kg)

Answer is 7.45 x 10⁻¹¹ m

Explanation;

To solve this problem we can use De Broglie equation,

∧ = h / mv

Where, ∧ is the wave length (m), h is the Planck's constant (6.626 × 10⁻³⁴ m² kg / s), m is the mass (kg) and v is the velocity of the object (m/s).

∧ = ?

h = 6.626 × 10⁻³⁴ m² kg / s

v = 9.76 × 10⁶ m/s

m = 9.1094 × 10⁻³¹ kg

From substitution,

∧ = (6.626 × 10⁻³⁴ m² kg / s ) / ( 9.76 × 10⁶ m/s x 9.1094 × 10⁻³¹ kg)

∧ = 7.45 x 10⁻¹¹ m

answer: the rate of diffusion increases with increase in temperature.

increase in temperature, increases the molecular/particles speed (kinetic energy. diffusion means movement of particles through the material.

generally, the heavier the particle the more it interacts with the environment and more the temperature matters. so higher temperature results in higher diffusion.

56 moles of   lieter in chemistry