1. The Stefan-Boltzmann law can be used to calculate the rate of increase in energy radiation due to an increase in the temperature of a black body. This law states that the rate of energy radiation is proportional to the fourth power of the temperature: E ∝ T⁴ Given: - Initial temperature T₁ = 7°C = 7Read more

    The Stefan-Boltzmann law can be used to calculate the rate of increase in energy radiation due to an increase in the temperature of a black body. This law states that the rate of energy radiation is proportional to the fourth power of the temperature:
    E ∝ T⁴
    Given:
    – Initial temperature T₁ = 7°C = 7 + 273 = 280 K
    – Final temperature T₂ = 287°C = 287 + 273 = 560 K

    Ratio of the energies radiated:

    E₂ / E₁ = (T₂ / T₁)⁴

    Now calculating the ratio:

    E₂ / E₁ = (560 / 280)⁴ = 16

    Therefore, the rate of energy radiation increases by a factor of: 16

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  2. Specific heat is the quantity of heat necessary to raise the temperature of 1 unit mass of a substance by 1°C or 1 K. Molar specific heat is the quantity of heat necessary to raise the temperature of 1 mole of a substance by 1°C or 1 K. CGS units: - Specific heat: cal/g°C - Molar specific heat: cal/Read more

    Specific heat is the quantity of heat necessary to raise the temperature of 1 unit mass of a substance by 1°C or 1 K.

    Molar specific heat is the quantity of heat necessary to raise the temperature of 1 mole of a substance by 1°C or 1 K.

    CGS units:
    – Specific heat: cal/g°C
    – Molar specific heat: cal/mol°C

    SI units:
    – Specific heat: J/kg·K
    – Molar specific heat: J/mol·K

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  3. The coefficient of apparent expansion of a liquid is the increase in volume per unit volume of the liquid when heated, as measured by a container. It takes into account both the expansion of the liquid and the container. The coefficient of real expansion of a liquid is the actual increase in volumeRead more

    The coefficient of apparent expansion of a liquid is the increase in volume per unit volume of the liquid when heated, as measured by a container. It takes into account both the expansion of the liquid and the container.

    The coefficient of real expansion of a liquid is the actual increase in volume per unit volume of the liquid, ignoring the effects of the container.

    The relation between the two is given as:
    Real expansion = Apparent expansion + Coefficient of linear expansion of the container × Coefficient of volume expansion of the container

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  4. According to Hooke's Law, an applied force directly stretches a spring and is defined by the formula given below. F = kx Here: - F refers to the force applied - k refers to the spring constant - x refers to the extension of the spring. When the mass M is hung on the spring, the force applied is F1 =Read more

    According to Hooke’s Law, an applied force directly stretches a spring and is defined by the formula given below.

    F = kx

    Here:
    – F refers to the force applied
    – k refers to the spring constant
    – x refers to the extension of the spring.

    When the mass M is hung on the spring, the force applied is F1 = Mg where g is acceleration due to gravity and the extension is x1 = 1 cm.

    Now, if the mass is doubled to 2M then the force applied will be F2 = 2Mg, and the extension will be x2.

    By using the proportionality between force and extension:

    x2 / x1 = F2 / F1

    x2 / 1 cm = 2Mg / Mg = 2

    Therefore, the extension x2 = 2 cm.

    The correct answer is: 2 cm

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  5. The quantity that has no dimensions is: strain Strain is defined as the ratio of change in length to the original length, so it is a dimensionless quantity. The other quantities like angular velocity, momentum, and angular momentum have dimensions. Click for more: https://www.tiwariacademy.com/ncertRead more

    The quantity that has no dimensions is: strain

    Strain is defined as the ratio of change in length to the original length, so it is a dimensionless quantity.

    The other quantities like angular velocity, momentum, and angular momentum have dimensions.

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