State authorities across India are now ordering the same kind of restrictions as in the worst-hit nations. Schools are shutting. So are swimming pools, gyms, athletic arenas, malls and movie theaters. Weddings and other public gatherings are being banned — though people continue to do them.

On Tuesday, officials closed the Taj Mahal, one of the world’s premier tourist destinations.

In many places it’s life as usual. In New Delhi, the capital, and other large cities like Lucknow, restaurants might be a little more deserted, but many people are still going out. There are still traffic jams, though on Monday traffic was noticeably lighter in Mumbai and commuter trains were largely empty. Online shopping services like Amazon and the digital grocer BigBasket saw a surge in orders as shoppers rushed to stock up on food and supplies without leaving their homes.

Dr. Henk Bekedam, the World Health Organization’s representative in India, said coronavirus cases in the country were all “traceable” and that there was no evidence yet of community transmission or a higher unofficial patient count.

He said India had so far managed to keep cases low by responding fast and aggressively to the coronavirus, and urging people to practice social distancing.

“I have been quite impressed with India,” Dr. Bekedam said. “From the onset they’ve been taking it very seriously.”

The government has tried to get ahead of the rumors — the line from India’s prime minister, Narendra Modi, is “Say No to Panic, Say Yes to Precautions.” But some of Mr. Modi’s supporters and even officials in his Bharatiya Janata Party, or B.J.P., are confusing people.