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Q.Study the schematic representation of the genes involved in the lac operon given below and answer the questions that follow :

(a) Identify and name the regulatory gene in this operon. Explain its role in ‘switching off’ the operon.
(b) Why is the lac operon’s regulation referred to as negative regulation ?
(c) Name the inducer molecule and the products of the genes ‘z’ and ‘y’ of the operon. Write the functions of these gene products.
(OR)
(a) How does the Hardy-Wienberg equation explain genetic equilibrium ?
(b) Describe how this equilibrium is disturbed that may lead to founder effect.
CBSECBSE Class XII Board 2019Subjective· 5mImportance★★★★★
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Figure — The 'schematic' flag is on part (a), 'study the schematic representation of the genes involved in the lac oper
Figure — The 'schematic' flag is on part (a), 'study the schematic representation of the genes involved in the lac oper

Part (a): The i gene's repressor binds the operator to switch the lac operon off (negative regulation); lactose/allolactose is the inducer, gene z makes β-galactosidase and gene y makes permease.

Part (b): Hardy–Weinberg (p^2+2pq+q^2=1) says allele/genotype frequencies stay constant at equilibrium; the founder effect is genetic drift where a few founders carry altered allele frequencies, disturbing that equilibrium.

Part (a) — The lac operon

The lac operon of E. coli (Jacob and Monod) lets the bacterium make lactose-metabolising enzymes only when lactose is available, saving energy. It has a regulatory i gene, a promoter (p), an operator (o), and three structural genes z, y, a.

(a) The regulatory gene and how it switches the operon OFF

  1. The regulatory gene is the i gene. It is transcribed all the time (constitutive) and produces a repressor protein.
  2. When lactose is absent, this repressor is active and binds tightly to the operator (o) region, which lies between the promoter and the structural genes.
  3. With the repressor sitting on the operator, RNA polymerase cannot move forward to transcribe z, y and a.
  4. No mRNA and no enzymes are made — the operon is switched off.

(b) Why it is called NEGATIVE regulation

  • The controlling protein — the repressor — works by preventing (inhibiting) transcription.
  • The operon is "off" by default and turns "on" only when this inhibition is lifted.
  • Because gene expression is controlled by a molecule that switches it off, the regulation is termed negative regulation. (In contrast, positive regulation uses an activator such as CAP that switches transcription on.)

(c) Inducer and the products of genes z and y

  • Inducer molecule: lactose. A little lactose entering the cell is converted to its isomer allolactose, which binds the repressor and changes its shape so it can no longer sit on the operator. RNA polymerase is then free to transcribe the operon.
  • Product of gene z — β-galactosidase: hydrolyses lactose into glucose and galactose, the usable energy sources.
  • Product of gene y — permease: a membrane protein that increases the cell's permeability to lactose, transporting lactose into the cell. …

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