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The idea of matter waves was given by
The deBroglie wavelength associated with the particle of mass m moving with velocity v is [CBSE PMT 1992]
The deBroglie wavelength associated with with the particle of mass m moving with velocity v is
λ=h/p=h/mv
A photon, an electron and a uranium nucleus all have the same wavelength. The one with the most energy [MP PMT 1992]
A is the correct answer.
p = h/λ
p = √2mK
E ∝ 1/m
Since photon has minimum mass so it has maximum KE
When the kinetic energy of an electron is increased, the wavelength of the associated wave will
If the deBroglie wavelengths for a proton and for a α−particle are equal, then the ratio of their velocities will be [NCERT 1972]
A particle which has zero rest mass and nonzero energy and momentum must travel with a speed [MP PMT 1992; DPMT 2001; Kerala PMT 2004]
Dual nature of radiation is shown combinedly by [MP PET 1991]
{Photoelectric effect →Particle nature Diffraction→Wave nature}Dual nature
For the Bohr's first orbit of circumference 2πr, the deBroglie wavelength of revolving electron will be [MP PMT 1987]
An electron of mass m when accelerated through a potential difference V has deBroglie wavelength λ. The deBroglie wavelength associated with a proton of mass M accelerated through the same potential difference will be [CBSE PMT 1995; EAMCET 2001; J & K CET 2004]
What will be the ratio of deBroglie wavelengths of proton and α−particle of same energy [RPET 1991, 96; DCE 2002; Kerala PET 2005]
What is the deBroglie wavelength of the α−particle accelerated through a potential difference V [RPMT 1996]
The energy that should be added to an electron, to reduce its deBroglie wavelengths from 10^{10} m to 0.5×10^{10}m, will be [KCET (Engg./Med.) 2000]
λ = h/√2mE
λ' = λ/2
λ'= h/√2mE'
then [λ/2]/λ = (√E'/E)
E' = 4E
Additional energy= 4E  E = 3E.
If particles are moving with same velocity, then maximum deBroglie wavelength will be for [CBSE PMT 2002]
If an electron and a photon propagate in the form of waves having the same wavelength, it implies that they have the same [CBSE PMT 1995; DCE 2001; AIIMS 2003]
p∝1/λ
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