Q.

Dimensional formula for work done is

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a

[M0L0T2]

b

[MLT1]

c

[M1L2T2]

d

[M2L2T2]

answer is A.

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Detailed Solution

The second ionization enthalpy refers to the energy required to remove a second electron from a positively charged ion. It is expressed in terms of energy per unit (e.g., joules or erg), which simplifies to:

[M0L2T-2]

Explanation:

  • [M1L2T-2]: Represents force, not ionization energy.
  • [M0L0T-2]: Incorrect, as ionization energy must include a length term due to its work definition.
  • [M2L2T-2]: Incorrect, as this suggests a squared mass term, which is unrelated.
  • [M0L2T-2]: Correct, as ionization energy is defined as work done (force × distance), giving the dimension of energy.
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