The wavelength `lambda` associated with a moving electron depends on its mass m , its velocity v and Planck's constant h . Prove dimensionally that `lambda prop (h)/(mv)`.

The wavelength lambda associated with a moving particle depends upon its mass (m) velocity (v) and Planck's constant 'h'. Show dimensionally that lambda prop (h)/(mv) .

The wavelength lambda associated with a moving particle depends upon its mass m, its velocity v and Planck’s constant h Show dimensionally the relationship between them

The wavelength associated with a moving particle depends upon p^(th) power of its mass m, q^(th) power of its velocity v and power of plank's constant h Then the corrent set of valume of p,q and r is

The wavelength of matter waves associated with an electron of mass m having kinetic energy E is given by (h is Planck's constant)

The de - Broglie wavelength associated with the particle of mass m moving with velocity v is

The de - Broglie wavelength associated with the particle of mass m moving with velocity v is

According to de-Broglie hypothesis, the wavelength associated with moving electron of mass 'm' is 'lambda_(e)' . Using mass energy relation and Planck's quantum theory, the wavelength associated with photon is 'lambda_(p)' . If the energy (E) of electron and photonm is same, then relation between lambda_e and 'lambda_(p)' is

In 1924, de-Broglie proposed that every particle possesses wave properties with a wavelength , lambda given by lambda = h/(mv) where m is the mass of the particle, v is its velocity and h is Planck's constant. The de-Broglie prediction was confirmed experimentally when it was found that an electron beam undergoes diffraction , a phenomenon characteristic of waves. The de-Broglie wavelength can be estimated by measuring kinetic energy of an electron accelerating by a potential V as : 1/2 mv^2 = eV "where" 1eV = 1.6 xx 10^(-19) J, h = 6.6 xx 10^(-34) Js . The mass of a photon moving with velocity of light having wavelength same as that of an alpha - particle (mass = 6.6 xx 10^(-27)kg) moving with velocity of 2.5 xx 10^2 ms^(-1) is