Can non-Muslims visit a mosque?
Yes, many North American mosques explicitly welcome non-Muslim visitors; Chicago's Downtown Islamic Center, for example, describes itself as open to people of all faiths and backgrounds. The controlling rule is always the individual mosque's own policy: some welcome drop-in visitors, others ask you to arrange the visit in advance. Check the mosque's website or call ahead.
Do women have to cover their hair to visit a mosque?
It depends on the mosque: the Islamic Center of San Diego says a headscarf is not required for visitors, while the Islamic Center of Pittsburgh requires visiting women to cover their hair. Check the mosque's own visitor page, and bring a scarf so the answer at the door can be yes either way.
What should I wear to visit a mosque?
Modest clothing, the Australian Islamic Centre's visitor rule, for example, is clothing that covers shoulders and knees, and loose-fitting beats tight; exact coverage varies, so check the mosque's own page. You will remove your shoes before the prayer hall, so wear socks you're happy with. Ordinary modest clothes are what the quoted policies ask for, not religious dress.
Do I participate in the prayer as a visitor?
No, visitors observe from the back of the hall, and that is the expected arrangement, not a snub. Remain quiet during the prayer and avoid walking directly in front of people who are praying. Nobody will pull you into the rows or ask you to explain yourself.
Can I take photos inside a mosque?
Ask first, this is a per-mosque policy, not a universal rule. Some mosques allow personal photography as long as worshippers aren't in the frame; others prohibit it unless arranged in advance. Staff will give you a clear answer in one sentence.
When is the best time to visit a mosque for the first time?
For conversation and a tour, a scheduled visit or a mosque open house is the easiest first door, many mosques run them and enjoy hosting. To see congregational prayer at full scale, Friday early afternoon (Jummah) is the main weekly service, but it is also the busiest hour of the week, so arriving early and confirming visitor arrangements matters more that day.