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  1. All the known planets move in elliptical orbits around the Sun. This motion is governed by gravitational forces and described by Kepler's laws of planetary motion, particularly the first law, which states that planets travel in elliptical paths with the Sun at one focus of the ellipse. Additionally,Read more

    All the known planets move in elliptical orbits around the Sun. This motion is governed by gravitational forces and described by Kepler’s laws of planetary motion, particularly the first law, which states that planets travel in elliptical paths with the Sun at one focus of the ellipse.
    Additionally, while the orbits are generally elliptical, they can appear nearly circular for some planets due to their low eccentricity. This elliptical movement accounts for variations in speed and distance from the Sun throughout their orbits, contributing to the dynamic nature of our solar system.

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  2. For points located outside the Earth, the acceleration due to gravity decreases with distance. It is inversely proportional to the square of the distance from the center of the Earth, meaning as one moves further away, gravity becomes weaker. Specifically, this means that the gravitational force felRead more

    For points located outside the Earth, the acceleration due to gravity decreases with distance. It is inversely proportional to the square of the distance from the center of the Earth, meaning as one moves further away, gravity becomes weaker. Specifically, this means that the gravitational force felt at a height above Earth’s surface diminishes with increasing distance from the center.

    In contrast, for points inside the Earth, gravity behaves differently. The acceleration due to gravity decreases linearly as one moves closer to the center. This indicates that the gravitational pull inside the Earth is directly related to the distance from the center.

    For points lying onside the earth (r > R)
    gₕ/g = R²/(R + h)² = R²/r² or gₕ = gR²/r²
    gₕ ∝ 1/r²

    For points lying inside the earth (r < R)
    gₔ = g(R – d)/R = gʳ/R or gₔ = gʳ/R
    gₔ ∝ r

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  3. The acceleration due to gravity g is slightly altered by Earth's rotational motion, depending on latitude. At the equator, Earth's centrifugal force, due to its maximum velocity of rotation, acts outward and opposes gravity, reducing the effective value of g slightly. As latitude increases toward thRead more

    The acceleration due to gravity g is slightly altered by Earth’s rotational motion, depending on latitude. At the equator, Earth’s centrifugal force, due to its maximum velocity of rotation, acts outward and opposes gravity, reducing the effective value of g slightly. As latitude increases toward the poles, the rotational velocity decreases, and the centrifugal force decreases.
    At the poles, centrifugal force is negligible, and g is at its maximum value. Therefore, g is lowest at the equator and increases gradually as one moves toward the poles.

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  4. Latitude at a place measures how far north or south it is from the Earth’s equator. It’s expressed in degrees, starting at 0° at the equator and going up to 90° at the North and South Poles. Locations in the Northern Hemisphere have positive latitudes, while those in the Southern Hemisphere have negRead more

    Latitude at a place measures how far north or south it is from the Earth’s equator. It’s expressed in degrees, starting at 0° at the equator and going up to 90° at the North and South Poles. Locations in the Northern Hemisphere have positive latitudes, while those in the Southern Hemisphere have negative latitudes.
    These imaginary lines, called parallels, run horizontally around the globe. Latitude helps pinpoint a location on Earth and also influences the climate and sunlight a region gets throughout the year, playing a key role in geography and navigation.

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  5. वैदिकोत्तर युग (लगभग 1500 ईसा पूर्व से 600 ईसा पूर्व तक) में लोगों की मुख्य आजीविका कृषि थी। इसके अलावा, पशुपालन, शिल्प, व्यापार और सेवा प्रदान करना भी महत्वपूर्ण आजीविका के साधन थे।

    वैदिकोत्तर युग (लगभग 1500 ईसा पूर्व से 600 ईसा पूर्व तक) में लोगों की मुख्य आजीविका कृषि थी। इसके अलावा, पशुपालन, शिल्प, व्यापार और सेवा प्रदान करना भी महत्वपूर्ण आजीविका के साधन थे।

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