1. The kinetic theory of gases states that the temperature T of an ideal gas is proportional to the average kinetic energy per molecule, and it is represented as: KE_avg = (3/2) k_B T where: - k_B is Boltzmann's constant, - T is the absolute temperature. Thus, a higher temperature means greater moleculRead more

    The kinetic theory of gases states that the temperature T of an ideal gas is proportional to the average kinetic energy per molecule, and it is represented as:

    KE_avg = (3/2) k_B T

    where:
    – k_B is Boltzmann’s constant,
    – T is the absolute temperature.

    Thus, a higher temperature means greater molecular kinetic energy, making temperature directly a measure of the average kinetic energy of gas molecules.

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  2. The gas constant (R) is a universal constant that appears in the ideal gas equation: PV = nRT where: - P is pressure, - V is volume, - n is the number of moles, - T is temperature. The value of R is the same for all ideal gases and is approximately 8.314 J/(mol·K). Click here for more: https://www.tRead more

    The gas constant (R) is a universal constant that appears in the ideal gas equation:
    PV = nRT

    where:
    – P is pressure,
    – V is volume,
    – n is the number of moles,
    – T is temperature.

    The value of R is the same for all ideal gases and is approximately 8.314 J/(mol·K).

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  3. In Simple Harmonic Motion (SHM), the total energy (E) is the sum of kinetic energy (KE) and potential energy (PE): E = KE + PE = (1/2) k A² where: - k is the force constant, - A is the amplitude. Since there is no external force or damping, the total energy remains constant throughout the motion, alRead more

    In Simple Harmonic Motion (SHM), the total energy (E) is the sum of kinetic energy (KE) and potential energy (PE):

    E = KE + PE = (1/2) k A²

    where:
    – k is the force constant,
    – A is the amplitude.

    Since there is no external force or damping, the total energy remains constant throughout the motion, although it continuously transforms between kinetic and potential energy.

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  4. It is correctly expressed as, T = 2π √(l/g). The time period (T) of a simple pendulum of length l is expressed by the formula given below: T = 2π √(l/g) where, - l is the length of the pendulum, - g is the acceleration due to gravity. This equation implies that the time period varies as the square rRead more

    It is correctly expressed as, T = 2π √(l/g).
    The time period (T) of a simple pendulum of length l is expressed by the formula given below:
    T = 2π √(l/g)

    where,
    – l is the length of the pendulum,
    – g is the acceleration due to gravity.

    This equation implies that the time period varies as the square root of the length and is inversely proportional to the square root of gravity.

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  5. In Simple Harmonic Motion (SHM), the acceleration (a) is: a = -ω²x Here, - ω represents angular frequency, - x refers to displacement from mean position Acceleration is maximum when |x| is maximum, and this happens at the extreme positions in the motion. As x = 0 corresponds to the mean position, thRead more

    In Simple Harmonic Motion (SHM), the acceleration (a) is:
    a = -ω²x
    Here,

    – ω represents angular frequency,
    – x refers to displacement from mean position

    Acceleration is maximum when |x| is maximum, and this happens at the extreme positions in the motion. As x = 0 corresponds to the mean position, the acceleration is zero here.

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