In order to solve this problem, we need to analyze both statements individually and assess their accuracy based on fundamental concepts in physics:
Statement I: Atoms are electrically neutral as they contain an equal number of positive and negative charges.
This statement is correct. An atom comprises protons, which are positively charged, and electrons, which are negatively charged. In a neutral atom, the number of protons equals the number of electrons, resulting in no net charge.
Statement II: Atoms of each element are stable and emit their characteristic spectrum.
This statement is incorrect. While atoms do emit a characteristic spectrum, they are not inherently stable. Stability varies among atoms; some are stable while others may be radioactive. The emission of characteristic spectra is often due to electrons moving between energy levels, not because atoms themselves are stable.
After evaluating both statements, we conclude: Statement I is correct but Statement II is incorrect.
An electron in the hydrogen atom initially in the fourth excited state makes a transition to \( n^{th} \) energy state by emitting a photon of energy 2.86 eV. The integer value of n will be 1cm.