Explanation:
T ∝ √l. If l' = 4l, T' = √4 × T = 2T. Period doubles when length quadruples. Memory aid: 'Pendulum: T ∝ √l; 4× length ⇒ 2× period'. Proportional reasoning frequently tested in competitive oscillations sections.
The Chandrasekhar Limit is a fundamental concept in astrophysics that determines the ultimate fate of a star. It is specifically defined as the maximum mass of a:
Explanation:
Subrahmanyan Chandrasekhar calculated that a White Dwarf star cannot support itself against gravitational collapse if its mass exceeds approximately 1.44 times the mass of our Sun. This is the Chandrasekhar limit. Stars above this mass limit will eventually collapse further into a dense neutron star or a black hole.
Explanation:
For resistors in parallel, the reciprocal of the equivalent resistance (1/Rp) is the sum of the reciprocals of individual resistances. 1/Rp = 1/R1 + 1/R2 + 1/R3 = 1/2 + 1/3 + 1/6. Finding a common denominator (6): 1/Rp = 3/6 + 2/6 + 1/6 = 6/6 = 1. Therefore, Rp = 1 Ω.
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