Consider the following statements:

1. Uttarayan is a period, which comes after summer solstice.

2. In a year sunrises in the east only on two days i.e 21^st March and 23^rd September, otherwise it rises either north of east or south of east.

Which of the above statements is/are correct?

Statement 1 is incorrect. Uttarayan (the sun's apparent northward movement) begins after the winter solstice (December 21-22), not after the summer solstice. The summer solstice (around June 21) marks the beginning of Dakshinayan (southward movement). Statement 2 is correct. The sun rises due east only on the two equinoxes (March 21 and September 23). On other days, it rises either north of east (during Uttarayan) or south of east (during Dakshinayan) due to Earth's axial tilt.