Gregor Mendel's landmark achievement in establishing the fundamental principles of genetics was due to his methodical scientific methods, meticulously designed experiments, and the application of statistical analysis. Known as the Father of Genetics, Mendel's groundbreaking experiments on pea plants ({Pisum sativum}) led to the formulation of the Laws of Inheritance. His success was based on several critical factors:
1. Choice of Experimental Plant: Mendel chose the pea plant (Pisum sativum) for its distinct traits, short generation time, and ability to produce numerous offspring for significant data collection.
2. Employment of Pure-Breeding Plants: He utilized homozygous plants to ensure consistent patterns of trait inheritance and to define dominant and recessive traits clearly.
3. Focus on Contrasting Traits: Mendel studied seven pairs of contrasting traits (e.g., tall vs. dwarf, round vs. wrinkled seeds), facilitating straightforward observations of inheritance patterns.
4. Managed Pollination Techniques: By manually cross-pollinating the plants and avoiding self-pollination, Mendel ensured precise control over breeding experiments.
5. Statistical Approach to Data: Mendel adopted quantitative methods and statistical analysis to interpret the patterns of inheritance, utilizing ratios (3:1, 9:3:3:1) to develop his genetic laws.
6. Extensive Sample Size: His use of a large sample size minimized errors and enhanced the validity of his findings.
7. Identification of Dominant and Recessive Traits: His differentiation between dominant and recessive traits laid the groundwork for future genetic research.
8. Derivation of Inheritance Laws:
The outcomes of his experiments formulated three pivotal genetic laws:
Law of Dominance: Some traits overpower others.
Law of Segregation: Alleles separate independently during gamete formation.
Law of Independent Assortment: Different traits are inherited independently.
List-I Placental mammals | List-II Counterpart Marsupials |
---|---|
(A) Anteater | (II) Numbat |
(B) Bobcat | (IV) Tasmanian tiger cat |
(C) Lemur | (I) Spotted cuscus |
(D) Flying squirrel | (III) Flying Phalanger |
The slope of the tangent to the curve \( x = \sin\theta \) and \( y = \cos 2\theta \) at \( \theta = \frac{\pi}{6} \) is ___________.
Solve the following L.P.P. by graphical method:
Maximize:
\[ z = 10x + 25y. \] Subject to: \[ 0 \leq x \leq 3, \quad 0 \leq y \leq 3, \quad x + y \leq 5. \]