The sun is directly overhead at noon on 21st June at:
Explanation
Option (C) is correct. According to the NCERT textbook, on 21st June (the Summer Solstice), the Northern Hemisphere is tilted towards the sun, causing the sun's rays to fall vertically at the Tropic of Cancer (23.5° N). The provided context supports the geometric basis for this by mentioning that 'the earth’s axis makes an angle of 66½ with the plane of its orbit,' which results in the 23.5° inclination necessary for the sun's vertical position to shift to this latitude.
Solution Steps
Step 1: Identify the date in the question: 21st June.
Step 2: Refer to the NCERT textbook concept permitted for explanation: On this date, the sun is overhead at the Tropic of Cancer.
Step 3: Identify the latitude of the Tropic of Cancer, which is 23.5° N (derived from the 66.5° axis angle mentioned in the context).
Step 4: Match this latitude with the given options to select Option (C).