Due to the Earth's rotation, the acceleration due to gravity (g) is minimum at:
A. The North Pole
B. The South Pole
C. A latitude of 45 degrees
D. The Equator
Answer: Option D
Solution (By JKSSB Mock Tests)
The effective acceleration due to gravity at latitude lambda is g' = g - R * w^2 * cos^2(lambda), where w is angular velocity. At the equator, lambda = 0, so cos(0) = 1. This subtracts the maximum outward centrifugal acceleration (Rw^2) from g. At the poles, lambda = 90, centrifugal effect is zero. Thus, g is minimum exactly at the equator.
One Parsec is a unit of astronomical distance. It is defined as the distance at which a radius of one astronomical unit (AU) subtends an angle of one second of arc. One parsec is approximately equal to:
Explanation:
The parsec (parallax second) is the largest standard unit of distance used in astronomy. 1 Astronomical Unit (AU) is approx 1.5 x 10^11 m. 1 Light Year (ly) is approx 9.46 x 10^15 m. 1 Parsec is approximately 3.08 x 10^16 m. Converting parsecs to light years: (3.08 x 10^16) / (9.46 x 10^15) ≈ 3.26 light years.
Explanation:
T = 2π√(L/g). For small amplitudes, period independent of amplitude and mass. Depends only on effective length and acceleration due to gravity. Used in pendulum clocks.
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