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  1. द्विवेदी जी की भाषा में तत्सम शब्दों की प्रधाानता भी मिलती है। जैसे- वृहत्तर, आत्मतोषण, सहजात वृत्ति, वर्तुलाकार, नखदंतावलबी, अधाोगामनी आदि। दूसरी ओर आम बोलचाल के शब्दों के प्रयोग से उन्होंने विषय को सरल, सहज एवं स्पष्ट बना दिया है। जैसे- झगड़े-टंटे, पछाड़ना, अभागे, बेहया। उसी तरह उनकी भाषा में मुहाRead more

    द्विवेदी जी की भाषा में तत्सम शब्दों की प्रधाानता भी मिलती है। जैसे- वृहत्तर, आत्मतोषण, सहजात वृत्ति, वर्तुलाकार, नखदंतावलबी, अधाोगामनी आदि। दूसरी ओर आम बोलचाल के शब्दों के प्रयोग से उन्होंने विषय को सरल, सहज एवं स्पष्ट बना दिया है। जैसे- झगड़े-टंटे, पछाड़ना, अभागे, बेहया। उसी तरह उनकी भाषा में मुहावरों और लोकोक्तियों के भी सुंदर प्रयोग हुए हैं। जैसे- लोहा लेना, कमर कसना, कीचड़ में घसीटना इत्यादि। लेखक निबंधा में अनेक स्थानों पर छोटे-छोटे प्रश्न पूछकर हमारी जिज्ञासा और उत्सुकता को निरंतर बनाए रखता है। जैसे- मेरा मन पूछता है किस ओर? और उनके उत्तर विषय को आगे ही नहीं बढ़ाते बल्कि समस्या का समाधाान भी करते हैं। लेखक शब्दों के प्रयोग में अत्यंत सिद्धहस्त है। उसके कहने का ढंग अनोखा एवं निराला है।

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  2. Gravitational potential at a point is the potential energy associated with a unit mass due to its position in the gravitational field of another body. It is defined as the work done in bringing a body of unit mass from infinity to that point. Gravitational potential is a scalar quantity, meaning itRead more

    Gravitational potential at a point is the potential energy associated with a unit mass due to its position in the gravitational field of another body. It is defined as the work done in bringing a body of unit mass from infinity to that point.

    Gravitational potential is a scalar quantity, meaning it has magnitude but no direction. Its SI unit is joules per kilogram (J/kg), and in CGS units, it is expressed in ergs per gram (erg/g).

    The dimensional formula of gravitational potential is [M⁰ L² T⁻²], indicating its dependence on fundamental quantities such as mass, length, and time.

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  3. The gravitational potential at a point due to the earth is determined by the work done in bringing a body of mass m from infinity to a point at a distance r from the center of the earth. The work done in this process represents the gravitational potential energy of the body at that point. At the surRead more

    The gravitational potential at a point due to the earth is determined by the work done in bringing a body of mass m from infinity to a point at a distance r from the center of the earth. The work done in this process represents the gravitational potential energy of the body at that point.

    At the surface of the earth, where the distance from the center is equal to the earth’s radius, the gravitational potential reflects the work done to bring the body from infinity to the surface.

    The relationship between gravitational potential energy and gravitational potential is straightforward: gravitational potential energy is the product of gravitational potential and the mass of the body. This highlights how gravitational potential describes the energy per unit mass in the gravitational field.

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  4. Orbital velocity is the speed required to place a satellite in a stable orbit around the Earth. When a satellite orbits the Earth, the gravitational force acting on it provides the necessary centripetal force to maintain its circular path. The gravitational force depends on the mass of the Earth, thRead more

    Orbital velocity is the speed required to place a satellite in a stable orbit around the Earth.

    When a satellite orbits the Earth, the gravitational force acting on it provides the necessary centripetal force to maintain its circular path. The gravitational force depends on the mass of the Earth, the mass of the satellite, and the distance between the Earth’s center and the satellite, which is the sum of the Earth’s radius and the satellite’s height above the surface.

    At equilibrium, the gravitational pull balances the centripetal force required for the satellite’s circular motion. From this balance, we determine the orbital velocity of the satellite. For satellites orbiting close to the Earth’s surface, the orbital velocity is approximately 7.92 km/s, assuming Earth’s acceleration due to gravity is 9.8 m/s² and the Earth’s radius is about 6.4 × 10⁶ m.

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  5. (ख) आदमी की पूँछ झड़ गई क्योंकि वह अनुपयोगी थी।

    (ख) आदमी की पूँछ झड़ गई क्योंकि वह अनुपयोगी थी।

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