1
KCET 2021
+1
-0

Energy of an electron in the second orbit of hydrogen atom is $$E_2$$. The energy of electron in the third orbit of $$\mathrm{He}^{+}$$ will be

A
$$\frac{9}{16} E_2$$
B
$$\frac{16}{9} E_2$$
C
$$\frac{3}{16} E_2$$
D
$$\frac{16}{3} E_2$$
2
KCET 2021
+1
-0

The figure shows standing de-Broglie waves due to the revolution of electron in a certain orbit of hydrogen atom. Then, the expression for the orbit radius is (All notations have their usual meanings)

A
$$\frac{h^2 \varepsilon_0}{\pi m e^2}$$
B
$$\frac{4 h^2 \varepsilon_0}{\pi m e^2}$$
C
$$\frac{9 h^2 \varepsilon_0}{\pi m e^2}$$
D
$$\frac{16 h^2 \varepsilon_0}{\pi m e^2}$$
3
KCET 2021
+1
-0

An electron in an excited state of $$\mathrm{Li}^{2+}$$ ion has angular momentum $$\frac{3 h}{2 \pi}$$. The de-Broglie wavelength of electron in this state is $$p \pi a_0$$ (where, $$a_0=$$ Bohr radius). The value of $$p$$ is

A
3
B
2
C
1
D
4
4
KCET 2021
+1
-0

Which graph in the following diagram correctly represents the potential energy of a pair of nucleons as a function of their separation?

A
B
C
D
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