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 current-carrying coil is placed in an external uniform magnetic field. The coil is free to turn in the magnetic field. What is the net force acting on the coil? Obtain the orientation of the coil in stable equilibrium. Show that in this orientation the flux of the total field (field produced by the loop + external field) through the coil is maximum.
Three students, Neha, Rani, and Sam go to a market to purchase stationery items. Neha buys 4 pens, 3 notepads, and 2 erasers and pays ₹ 60. Rani buys 2 pens, 4 notepads, and 6 erasers for ₹ 90. Sam pays ₹ 70 for 6 pens, 2 notepads, and 3 erasers.
Based upon the above information, answer the following questions:
(i) Form the equations required to solve the problem of finding the price of each item, and express it in the matrix form \( A \mathbf{X} = B \).