(a) Write the palindromic nucleotide sequence for following sequence of DNA segment:
5' – GAATTC – 3'
(b) Name the restriction endonuclease that recognizes this sequence.
(c) How are sticky ends produced? Mention their role.
Step 1 (a): The palindromic sequence of 5' – GAATTC – 3' is:
5' – GAATTC – 3'
3' – CTTAAG – 5'
It reads the same in 5' to 3' direction on both strands, making it a palindrome.
Step 2 (b): The restriction endonuclease that recognizes this sequence is EcoRI.
Step 3 (c): EcoRI cuts between G and A in both strands as follows:
5' – G↓AATTC – 3'
3' – CTTAA↑G – 5'
This creates **sticky ends** (overhanging single-stranded regions) which can form hydrogen bonds with complementary sequences.
Step 4: Sticky ends facilitate the insertion of foreign DNA during genetic engineering by allowing ligation with complementary sequences.

A ladder of fixed length \( h \) is to be placed along the wall such that it is free to move along the height of the wall.
Based upon the above information, answer the following questions:
(iii) (b) If the foot of the ladder, whose length is 5 m, is being pulled towards the wall such that the rate of decrease of distance \( y \) is \( 2 \, \text{m/s} \), then at what rate is the height on the wall \( x \) increasing when the foot of the ladder is 3 m away from the wall?