JEE Main202529 Jan 2025Evening ShiftChemistryStructure of AtomActual
Given below are two statements : Statement (I) : It is impossible to specify simultaneously with arbitrary precision, both the linear momentum and the position of a particle. Statement (II) : If the uncertainty in the measurement of position and uncertainty in measurement of momentum are equal for an electron, then the uncertainty in the measurement of velocity is h 1 2 ~m . In the light of the above statements, choo
Options
- AStatement I is false but Statement II is true
- BBoth Statement I and Statement II are false
- CBoth Statement I and Statement II are true
- DStatement I is true but Statement II is false
Correct answer
C. Both Statement I and Statement II are true
Step-by-step solution
According to Heisenberg's uncertainty principle, it is impossible to determine simultaneously the exact position and momentum of particle like electron If aligned & p= x & p x h 4 &( p)^2 h 4 & p h 1 2 & m v h 1 2 & v h 1 2 m aligned