If the passports Indian, then a visa will be required.
The form will definately ask about any offences.
If you decide to lie, remember that the embassy is in London, and it's quite likely that they do have acces to our police records. The info might not be passed on to immigration in the US, but the embassy here could quite easily collect court records etc for their own purposes.
If they catch you lying, you'll be banned from the US for a period of probably 10 years.
As it was a minor offence, although still quite recent, you'd be better off being honest, in my opinion.