Can mourners go to work, school or exams during the 13 days?
yes, when needed — duties of livelihood and study are allowed; keep the main rites and simplicity at home.
Traditionally the family stayed home for the mourning period, and many employers in India give bereavement leave. But the texts themselves allow exceptions for those whose duties cannot wait — doctors, soldiers, workers who would lose their livelihood. Modern life widens this: a child should not miss a board exam, and a person should not lose a job over a custom.
What many families do: the kartā stays for the daily rites as far as possible, especially the first days and the 10th–13th; others return to work or school after the first few days while keeping simplicity — plain clothes, simple food, no celebrations — and attending the key rites.
If you go out during this time, you may avoid touching others' shrines or entering temples, which is the usual custom. Studying, earning and caring for family are part of dharma too. Grief does not need to be proved by absence.
Source: Dharmaśāstra exceptions for essential duties; common practice
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