SATHEE: Modern Physics 1 Question 33

Modern Physics 1 Question 33

30. If the mass of the particle is $m = 1.0 \times 10^{- 30} k g$ and $a = 6.6 n m$ , the energy of the particle in its ground state is closest to

(2009)

(a) $0.8 m e V$

(b) $8 m e V$

(d) $800 m e V$

Show Answer

Solution:

From Eq. (i) $E = \frac{n^{2} h^{2}}{8 a^{2} m}$

In ground state $n = 1$

$∴ E_{1} = \frac{h^{2}}{8 m a^{2}}$

Substituting the values, we get

$E_{1} = 8 m e V$

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Modern Physics 1 Question 33

30. If the mass of the particle is m=1.0×10−30kg and a=6.6nm, the energy of the particle in its ground state is closest to

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30. If the mass of the particle is $m = 1.0 \times 10^{- 30} k g$ and $a = 6.6 n m$ , the energy of the particle in its ground state is closest to