(Things were heating up with China)
For a lot of people, the name Jawahralal Nehru conjures up a deep-distant past of India during its struggle for independence from Colonial rule. Nehru was a close associate of Mohandas Gandhi and it was Nehru who delivered the historic "Tryst With Destiny" address on the eve of India's independence. But Nehru was a substantial figure in India's rise to power, committing it to a policy of industrialization - largely responsible for what it has become today.
But in 1961, Nehru had come to the U.S. on a State Visit and to meet with President Kennedy regarding the recent resumption of Nuclear testing. Nehru wanted an outright moratorium of nuclear weapons testing for all parties, both Western and Iron Curtain, even though the prospect seemed unlikely. India would have its own conflicts shortly - war with China would erupt a few months after this broadcast. The question about China is asked, but it's carefully danced around, in true political fashion.