JEE Main2012ChemistryStructure of AtomActual
If the kinetic energy of an electron is increased four times, the wavelength of the de-Broglie wave associated with it would become
Options
- Aone fourth
- Bhalf
- Cfour times
- Dtwo times
Correct answer
B. half
Step-by-step solution
de - Broglie wavelength is given by : = h m v aligned & K.E. = 1 2 m v^2 & v^2= 2 K E m & v= 2 K E m aligned Substituting this in equation (i) = h m m 2 K E =h 1 2 m( K.E. ) i.e. 1 K E when K E become 4 times wavelength become 1 / 2 .