Question

Which of the following statements is incorrect?

• A. Wave functions are found by solving Schrodinger wave equation
• B. Energy of an electron at infinite distance is zero yet it is maximum
• C. Two spectral lines of an element must have the same wave number
• D. The position and momentum of a large rolling ball can be measured accurately.

Answer 1

The correct option is C Two spectral lines of an element must have the same wave number

a) It is a correct statment since the wave function can be obtained from Schrodinger's equation by applying boundary conditions.

b) Energy of the electron at infinite distance is zero and maximum because upon its return to the ground state it will release maximum energy.

c) Two spectral lines will have different wavelengths and must have different wave numbers. Hence, statement c) is wrong.

d) The uncertainty principle is significant only for microscopic particles. Since ball is a macroscopic particle, we can measure the poisition and the momentum of a rolling ball accurately.