Question

why is the difference between the durations of day and night hardly felt at kannyakumari but not so in Kashmir

Answer 1

Kanyakumari is close to the equator, whereas Kashmir is far from the equator. This means that Kanyakumariis at a lesser latitude as compared toKashmir. We know that Kanyakumariis at 8°N latitude, it is just 8 degrees from the equator. ... So, there would be a big difference in the duration of day and night in Kashmir..
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Answer 2

As you go from North pole to equator,difference between day and night duration goes on becoming less and less .At equator days and nights both become 12 hours approx. Due to axis of rotation of the Earth is slant, to that of the Sun, seasons occurs. Duration reverses with seasons ie. in winter days in north become shorter than 12 hours.
With respect to Equator Kanya kumari is 8 degree North latitude, while Kashmir is 36 degree north latitude. Hence the difference in durations of Days and nights at the two places.