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  1. The general equation for Simple Harmonic Motion (SHM) is: x = A cos(ωt + ϕ) where: - A is the amplitude, - ω is the angular frequency, - t is the time, - ϕ is the phase constant. This describes the displacement x in terms of time, which denotes oscillatory motion. Click here for more: https://www.tiRead more

    The general equation for Simple Harmonic Motion (SHM) is:

    x = A cos(ωt + ϕ)

    where:
    – A is the amplitude,
    – ω is the angular frequency,
    – t is the time,
    – ϕ is the phase constant.

    This describes the displacement x in terms of time, which denotes oscillatory motion.

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    https://www.tiwariacademy.com/ncert-solutions/class-11/physics/chapter-13/

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  2. In Simple Harmonic Motion (SHM), the restoring force is proportional to the displacement and acts in the opposite direction. A pendulum oscillating with a small amplitude follows this condition, where the restoring force is given by: F = -mg sin(θ) ≈ -mgθ (for small angles, sin(θ) ≈ θ) This makes thRead more

    In Simple Harmonic Motion (SHM), the restoring force is proportional to the displacement and acts in the opposite direction. A pendulum oscillating with a small amplitude follows this condition, where the restoring force is given by:

    F = -mg sin(θ) ≈ -mgθ (for small angles, sin(θ) ≈ θ)

    This makes the motion approximately simple harmonic.

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    https://www.tiwariacademy.com/ncert-solutions/class-11/physics/chapter-13/

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  3. The mean free path (λ) of a gas molecule is the average distance traveled by a molecule between two successive collisions. It is defined by: λ = (k_B T) / (√2 π d² P) where: - k_B is Boltzmann's constant, - T is the temperature, - d is the diameter of the molecule, - P is the pressure. Thus, the meaRead more

    The mean free path (λ) of a gas molecule is the average distance traveled by a molecule between two successive collisions. It is defined by:
    λ = (k_B T) / (√2 π d² P)

    where:
    – k_B is Boltzmann’s constant,
    – T is the temperature,
    – d is the diameter of the molecule,
    – P is the pressure.
    Thus, the mean free path is the average distance traveled before a collision takes place.

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    https://www.tiwariacademy.com/ncert-solutions/class-11/physics/chapter-14/

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  4. (a) Sound will be louder but pitch will not be different. When struck harder, amplitude of vibrations will be more and consequently a louder sound is produced. https://www.tiwariacademy.com/ncert-solutions/class-9/science/chapter-11/

    (a) Sound will be louder but pitch will not be different. When struck harder, amplitude of vibrations will be more and consequently a louder sound is produced.

    https://www.tiwariacademy.com/ncert-solutions/class-9/science/chapter-11/

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  5. The Maxwell-Boltzmann distribution gives the statistical distribution of molecular speeds in a gas at a given temperature. It is defined as: f(v) = (m / 2πk_B T)^(3/2) * 4πv² * exp(-mv² / 2k_B T) where: - m is the mass of a gas molecule, - k_B is Boltzmann's constant, - T is the temperature, - v isRead more

    The Maxwell-Boltzmann distribution gives the statistical distribution of molecular speeds in a gas at a given temperature. It is defined as:
    f(v) = (m / 2πk_B T)^(3/2) * 4πv² * exp(-mv² / 2k_B T)
    where:
    – m is the mass of a gas molecule,
    – k_B is Boltzmann’s constant,
    – T is the temperature,
    – v is the molecular speed.

    This distribution shows that most molecules have speeds around a certain value, but some move much slower or much faster.

    Click here for more:
    https://www.tiwariacademy.com/ncert-solutions/class-11/physics/chapter-14/

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