Which of the following metal requires radiation of highest frequency t...
As the alkali metals have minimum ionisation potential in the periodic table, secondly ionisation potential decreases on moving top to bottom in periodic table, thus Mg has highest ionisation enthalpy among the given elements, hence it requires radiation of highest frequency to cause emission of electrons.
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Which of the following metal requires radiation of highest frequency t...
Ionisation enthalpy of alkaline earth metals is greater than the alkali metals due to their small size and ionisation enthalpy also decrease down the group due to increase in atomic radii. So, among all these, Mg has the highest ionisation enthalpy and hence, it will require radiation of highest frequency. Option b.
Which of the following metal requires radiation of highest frequency t...
The Correct Answer is Option 'B' (Mg)
Explanation:
When a metal is exposed to radiation, such as light or X-rays, it can emit electrons through a process called the photoelectric effect. The frequency of the radiation required to cause the emission of electrons is known as the threshold frequency.
The threshold frequency for a metal depends on its work function, which is the minimum energy required to remove an electron from the metal's surface. The work function is determined by the metal's electronic structure, particularly the energy levels of its electrons.
Factors Affecting Threshold Frequency:
1. Work Function: The higher the work function of a metal, the higher the threshold frequency required to cause electron emission.
2. Atomic Structure: The energy levels of electrons in the metal's atomic structure determine the work function and, consequently, the threshold frequency.
Analysis of the Given Options:
a) Na (Sodium): Sodium has a lower work function compared to the other metals listed.
b) Mg (Magnesium): Magnesium has a higher work function compared to the other metals listed.
c) K (Potassium): Potassium has a lower work function compared to the other metals listed.
d) Ca (Calcium): Calcium has a lower work function compared to the other metals listed.
Reasoning:
- The question asks for the metal that requires the highest frequency of radiation to cause electron emission.
- Higher frequency corresponds to higher energy, as frequency and energy are directly proportional (E = hf, where E is energy, h is Planck's constant, and f is frequency).
- The metal with the highest work function will require the highest energy (and therefore, the highest frequency) to overcome the work function and cause electron emission.
- Among the given options, Magnesium (Mg) has the highest work function and thus requires the highest frequency of radiation for electron emission.
Therefore, the correct answer is option 'B' (Mg).
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