Q. Based on equation E = −2.178 × 10⁻¹⁸ J (Z²/n²), certain conclusions are written. Which of them is not correct?
A) The negative sign in equation simply means that the energy of electron bound to the nucleus is lower than it would be if the electrons were at the infinite distance from the nucleus
B) Larger the value of n, the larger is the orbit radius
C) Equation can be used to calculate the change in energy when the electron changes orbit
D) For n = 1, the electron has a more negative energy than it does for n = 6 which means that the electron is more loosely bound in the smallest allowed orbit
Explanation
[Solution from source] For n = 1 the energy is the most negative, which means the electron is most tightly bound in the smallest orbit, not more loosely bound, so that conclusion is wrong. The other statements correctly describe the negative sign, the growth of radius with n and use of the equation for energy changes. Answer (4).
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.