JEE Advanced2009PhysicsAtomic PhysicsActual
Paragraph: When a particle is restricted to move along x -axis between x=0 and x=a , where a is of nanometer dimension, its energy can take only certain specific values. The allowed energies of the particle moving in such a restricted region, correspond to the formation of standing waves with nodes at its ends x=0 and x=a . The wavelength of this standing wave is related to the liner momentum p of the particle accord
Options
- Aa⁻²
- Ba^ -3 / 2
- Ca⁻¹
- Da^2
Correct answer
A. a⁻²
Step-by-step solution
array rlrl & a & = n 2 & & = 2 a n = h p = h 2 E m or & E 1 a E 1 a^2 array