Bohr Model Basics

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1.
The ratio of energies of the 1st and 4th orbits of hydrogen is:
2.
The potential energy of the electron in the ground state of hydrogen is:
3.
If the electron in hydrogen is in the 2nd excited state, the number of possible spectral lines is: <svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 280 130" style="max-width:280px;margin:0.5em auto;display:block;"> <title>All possible transitions from n=3: three spectral lines</title> <rect width="280" height="130" fill="#faf9f5" rx="6"/> <line x1="30" y1="105" x2="160" y2="105" stroke="#14140f" stroke-width="2"/> <text x="170" y="109" font-size="10" font-family="sans-serif" fill="#14140f">n=1</text> <line x1="30" y1="65" x2="160" y2="65" stroke="#14140f" stroke-width="1.5"/> <text x="170" y="69" font-size="10" font-family="sans-serif" fill="#14140f">n=2</text> <line x1="30" y1="30" x2="160" y2="30" stroke="#14140f" stroke-width="1.5"/> <text x="170" y="34" font-size="10" font-family="sans-serif" fill="#14140f">n=3</text> <line x1="60" y1="32" x2="60" y2="103" stroke="#c6613f" stroke-width="1.5"/> <text x="45" y="75" font-size="8" font-family="sans-serif" fill="#c6613f">3→1</text> <line x1="95" y1="32" x2="95" y2="63" stroke="#788c5d" stroke-width="1.5"/> <text x="100" y="52" font-size="8" font-family="sans-serif" fill="#788c5d">3→2</text> <line x1="130" y1="67" x2="130" y2="103" stroke="#b07d4f" stroke-width="1.5"/> <text x="135" y="90" font-size="8" font-family="sans-serif" fill="#b07d4f">2→1</text> <text x="195" y="75" font-size="10" font-family="sans-serif" fill="#14140f">= 3 lines</text> </svg>
4.
The magnetic moment of the electron in the nth orbit is proportional to:
5.
The energy of the 3rd orbit of hydrogen is:

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