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Standard XII

Physics

Enter Einstein!

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Question

According to Bohr's theory,
$E_{n} =$ Total energy
$K_{n} =$ Kinetic energy
$V_{n} =$ Potential energy
$r_{n} =$ Radius of $n^{t h}$ orbit
Match the following:

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Solution

(A) $V_{n} / K_{n} =$ 2
Thus,the potential energy of nth orbit is twice its kinetic energy.
(B) If radius of $n^{t h}$ orbit $\propto E_{n}^{x}$ , $x =$ 1
The radius of nth orbit is directly proportional to the energy of nth orbit.
(C) Angular momentum in lowest orbitalis 0. The lowest orbital is s orbital and is spherical in shape. It has zero angular momentum.
(D) $\frac{l}{r^{n}} \propto Z^{y}, y =$ 1
Thus the effective nuclear charge Z is inversely proportional to the radius raised to nth power.

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According to Bohr's theory, En= Total energyKn= Kinetic energyVn= Potential energyrn= Radius of nth orbitMatch the following:

According to Bohr's theory,
$E_{n} =$ Total energy
$K_{n} =$ Kinetic energy
$V_{n} =$ Potential energy
$r_{n} =$ Radius of $n^{t h}$ orbit
Match the following: