Sophie belongs to a lower middle class. She lives in a small house with her parents and two brothers, Derek and Geoff. When she returns home after school, she feels choked with the steam of the stove and is disgusted with the dirty dishes piled in a corner. Her mother's back has become stooped and bent by handling all the household chores and responsibilities on her own. Her father is a hard labourer and her elder brother, Geoff works as an apprentice mechanic in a garage situated far away from his house. Her family wants Sophie to join work immediately after her school. These are some of the indicators of the financial status of Sophie's family.
A school is organizing a debate competition with participants as speakers and judges. $ S = \{S_1, S_2, S_3, S_4\} $ where $ S = \{S_1, S_2, S_3, S_4\} $ represents the set of speakers. The judges are represented by the set: $ J = \{J_1, J_2, J_3\} $ where $ J = \{J_1, J_2, J_3\} $ represents the set of judges. Each speaker can be assigned only one judge. Let $ R $ be a relation from set $ S $ to $ J $ defined as: $ R = \{(x, y) : \text{speaker } x \text{ is judged by judge } y, x \in S, y \in J\} $.
Given below is a heterogeneous RNA formed during Eukaryotic transcription:
How many introns and exons respectively are present in the hnRNA?
A certain reaction is 50 complete in 20 minutes at 300 K and the same reaction is 50 complete in 5 minutes at 350 K. Calculate the activation energy if it is a first order reaction. Given: \[ R = 8.314 \, \text{J K}^{-1} \, \text{mol}^{-1}, \quad \log 4 = 0.602 \]