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  1. The capacitance of the capacitor can be calculated using the formula C = 1/Xc2πv Given Xc =100Ω and v = 5000/π Hz, C =1/1002π 5000/π = 10-⁶ F = 1μF. For more visit here: https://www.tiwariacademy.com/ncert-solutions/class-12/physics/chapter-7/

    The capacitance of the capacitor can be calculated using the formula C = 1/Xc2πv
    Given Xc =100Ω and v = 5000/π Hz, C =1/1002π 5000/π = 10-⁶ F = 1μF.

    For more visit here:
    https://www.tiwariacademy.com/ncert-solutions/class-12/physics/chapter-7/

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  2. When an iron core is inserted into a solenoid connected to a battery, the current decreases. The iron core increases the magnetic field and flux within the solenoid. According to Lenz's law, the induced current opposes this change in magnetic flux, resisting the increase. Consequently, an induced cuRead more

    When an iron core is inserted into a solenoid connected to a battery, the current decreases. The iron core increases the magnetic field and flux within the solenoid. According to Lenz’s law, the induced current opposes this change in magnetic flux, resisting the increase. Consequently, an induced current is set up opposite to the battery current, reducing the overall current flow in the solenoid.

    For more visit here:
    https://www.tiwariacademy.com/ncert-solutions/class-12/physics/chapter-6/

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  3. Different Theories About Planetary Motion. Since ancient times, scientists have studied the motion of celestial objects like the Sun, planets, and the Moon. Some significant theories about planetary motion are as follows: (i) Geocentric Model Around 100 A.D., the Greek astronomer Ptolemy introducedRead more

    Different Theories About Planetary Motion. Since ancient times, scientists have studied the motion of celestial objects like the Sun, planets, and the Moon. Some significant theories about planetary motion are as follows:

    (i) Geocentric Model
    Around 100 A.D., the Greek astronomer Ptolemy introduced the geocentric model in his book The Almagest. This model suggested that the Earth is stationary at the center of the universe, and all celestial objects, including the Sun, Moon, and planets, revolve around it. The planets were believed to move in small circular paths called epicycles, whose centers followed larger circular paths known as *deferents*.

    (ii) Aryabhata’s Contribution
    In 498 A.D., Indian mathematician and astronomer Aryabhata proposed that the Earth rotates on its axis and revolves around the Sun, along with other planets. He explained various phenomena like solar and lunar eclipses, as well as the formation of days and nights. However, his groundbreaking ideas were not communicated to the Western world during his time.

    (iii) Heliocentric Model
    In 1543, Polish astronomer Nicolaus Copernicus proposed the heliocentric theory, suggesting that the Sun is at the center of the solar system, while the Earth and other planets revolve around it.

    (iv) Contributions of Brahe and Kepler
    To validate Copernicus’s heliocentric model, Danish astronomer Tycho Brahe (1546–1601) conducted detailed observations of planetary motion without telescopes. His data were later analyzed by his assistant, Johannes Kepler (1571–1630). Using Brahe’s observations, Kepler formulated three fundamental laws of planetary motion. These laws significantly supported the Copernican model and laid the groundwork for Newton’s law of gravitation.

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  4. The escape velocity vₑ is the minimum velocity a body needs to escape the gravitational pull of a planet or celestial body without any additional propulsion. It depends on the gravitational acceleration g or, equivalently, the mass Mₑ and radius R of the celestial body. The formula for escape velociRead more

    The escape velocity vₑ is the minimum velocity a body needs to escape the gravitational pull of a planet or celestial body without any additional propulsion. It depends on the gravitational acceleration g or, equivalently, the mass Mₑ and radius R of the celestial body.

    The formula for escape velocity is:
    vₑ = √(2gR) or equivalently} \quad vₑ = √((2GMₑ)/R)

    This shows that escape velocity is determined by the gravitational characteristics of the celestial body and is independent of the mass of the escaping object m. Thus, objects of different masses have the same escape velocity from the same location.

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  5. For an AC current I = Im sin(ωt), the equivalent DC current that produces the same heat H in a resistor R over time T= 2π/ω is I effective = Im/√2. For more visit here: https://www.tiwariacademy.com/ncert-solutions/class-12/physics/chapter-7/

    For an AC current I = Im sin(ωt), the equivalent DC current that produces the same heat H in a resistor R over time T= 2π/ω is I effective = Im/√2.

    For more visit here:
    https://www.tiwariacademy.com/ncert-solutions/class-12/physics/chapter-7/

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