Which of the following statements is/are true?(I) If H atoms are in 3r...
Here, the electrons of each hydrogen atom are in same state hence in transition will emit photons of equal wavelengths for each transition hence, the maximum spectral lines emitted are 6.
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Which of the following statements is/are true?(I) If H atoms are in 3r...
I Explanation:
To analyze the given statements, let's consider the energy levels and transitions in hydrogen and helium atoms.
I. If H atoms are in the 3rd state, then the number of maximum spectral lines produced by 2 atoms will be equal to the number of maximum spectral lines produced by 3 H-atoms.
- In the hydrogen atom, the energy levels are given by the formula Eₙ = -13.6/n², where n is the principal quantum number.
- The number of spectral lines emitted during the transition from one energy level to another is given by the formula N = n(n-1)/2.
- For a hydrogen atom in the 3rd excited state (n = 4), the number of spectral lines produced is N = 4(4-1)/2 = 6.
- Therefore, for 2 hydrogen atoms in the 3rd excited state, the total number of spectral lines produced will be 2 * 6 = 12.
- On the other hand, for 3 hydrogen atoms in the ground state, the total number of spectral lines produced will be 3 * 0 = 0.
- Hence, the statement is false. Therefore, statement I is not true.
II. For the third excited state, the maximum number of spectral lines produced by helium and the maximum number of spectral lines produced by 4 H-atoms are not equal.
- For helium, the energy levels are given by the formula Eₙ = -54.4/n², where n is the principal quantum number.
- For the third excited state of helium (n = 4), the number of spectral lines produced is N = 4(4-1)/2 = 6.
- For 4 hydrogen atoms in the ground state, the total number of spectral lines produced is N = 4 * 0 = 0.
- Hence, the statement is true. Therefore, statement II is true.
III. Energy evolved from 3 to 2 transitions in He cannot be used for any transition in Li2.
- The energy levels of helium and lithium atoms are different.
- The energy difference between the 3rd and 2nd energy levels in helium cannot be used for any transitions in lithium.
- Hence, the statement is true. Therefore, statement III is true.
Therefore, the correct statements are II and III. Option A, which includes statements I and III, is the correct answer.
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