Famous Personalities and Discoveries

Ian Wilmut led the team that created Dolly the sheep, the first mammal cloned from an adult somatic cell using nuclear transfer, earning him recognition as the father of cloning. This breakthrough in 1996 revolutionized the field of genetics. The other individuals listed (R. Mishra, William Gaffe, Robert Gallo) are not associated with this pioneering cloning achievement.

René Descartes is credited with inventing analytic geometry in the 17th century. His revolutionary approach combined algebra and geometry by representing geometric shapes with equations and introducing the Cartesian coordinate system (x-y plane). This allowed geometric problems to be solved using algebraic methods and vice versa. Archimedes was ancient Greek, John Napier invented logarithms, and Georg Cantor worked on set theory much later.

Descartes is called the father of modern mathematics because he invented Cartesian coordinates, which connected algebra and geometry. This revolutionary approach allowed geometric problems to be solved using algebraic equations and vice versa.

Georg Cantor founded set theory in the 1870s, revolutionizing mathematics by establishing the mathematical theory of infinite sets and different sizes of infinity.

Euclid's 'Elements' (c. 300 BCE) systematized geometry through axioms, definitions, and logical proofs, establishing the foundation for geometric reasoning that lasted over two millennia.

Shri Krishna Sinha, popularly known as 'Bihar Kesari' (Lion of Bihar), was the first Chief Minister of Bihar serving from 1946 to 1961. He played a crucial role in Bihar's development immediately after independence and was a close associate of Mahatma Gandhi during the freedom movement.

Pulsars were discovered in 1967 by Jocelyn Bell Burnell, a graduate student working with Antony Hewish. She detected regular radio pulses from an unknown source, which were later identified as rapidly rotating neutron stars. The discovery was so unexpected that the source was initially nicknamed 'LGM-1' (Little Green Men) as a half-joking reference to the possibility of extraterrestrial intelligence.

Gregor Johann Mendel figure-head of the new science of genetics for his study of the inheritance of certain traits in pea plants. Mendel showed that the inheritance of these traits follow particular laws, which were later named after him. He is known as the father of genetics.

Giuseppe Garibaldi is considered the 'Father of the Fatherland' and founder of modern Italy for leading the unification movement in the 19th century. He unified various Italian states into the Kingdom of Italy. George Meir, Mussolini, and Torricelli are not associated with Italian unification.

This is Pigou's equation of exchange from his quantity theory approach. Pigou extended the Cambridge cash-balance version of the quantity theory, where P represents price level, and the equation shows the relationship between money supply, prices, and cash balances.

Archimedes famously shouted Eureka! when he discovered the principle of buoyancy while taking a bath. He realized that the water level rose when he stepped in, which helped him solve the problem of determining whether the king's crown was made of pure gold. Newton is associated with gravity and laws of motion, while the Wright Brothers invented the airplane.

The presence of dislocations strongly influences many of the properties of materials. This theory was originally developed by Vito Volterra in 1905, but the term 'dislocation' was coined later by the late Professor Sir Frederick Charles Frank of the Physics Department at the University of Bristol.

All three statements about Kant's nebular hypothesis are correct. Kant did incorporate Newton's law of gravitation to explain particle attraction and disk formation. He accepted the principle of conservation of angular momentum. Although Laplace later proposed a similar nebular hypothesis, Kant is widely credited as the original propounder of this theory of Earth's origin from a rotating nebula.