Step 1: Functions of the lac operon genes.
- 'i' gene: Produces the repressor protein (iii).
- 'z' gene: Produces $\beta$-galactosidase (i), which breaks down lactose.
- 'a' gene: Produces transacetylase (iv).
- 'y' gene: Produces lac permease (ii), which facilitates lactose entry into the cell.
List I | List II | ||
---|---|---|---|
A | Two or more alternative forms of a gene | I | Back cross |
B | Cross of F1 progeny with homozygous recessive parent | II | Ploidy |
C | Cross of F progeny with any of the parents | III | Allele |
D | Number of chromosome sets in plant | IV | Test cross |
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: \[ R = 8.314 \, \text{J K}^{-1} \, \text{mol}^{-1}, \quad \log 4 = 0.602 \]