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.
Define the following terms:
(a) Gene Flow
(b) Chromosomal Aberrations
Derive an expression for energy stored in a charged capacitor. A spherical metal ball of radius 15 cm carries a charge of 2μC. Calculate the electric field at a distance of 20 cm from the center of the sphere.
Draw a neat labelled diagram of Ferry's perfectly black body. Compare the rms speed of hydrogen molecules at 227°C with rms speed of oxygen molecules at 127°C. Given that molecular masses of hydrogen and oxygen are 2 and 32, respectively.
Distinguish between an ammeter and a voltmeter. (Two points each).
The displacement of a particle performing simple harmonic motion is \( \frac{1}{3} \) of its amplitude. What fraction of total energy is its kinetic energy?
Using the geometry of the double slit experiment, derive the expression for the fringe width of interference bands.
An alternating voltage is given by \( e = 8 \sin(628.4 t) \).
Find:
(i) Peak value of e.m.f.
(ii) Frequency of e.m.f.
(iii) Instantaneous value of e.m.f. at time \( t = 10 \, {ms} \)