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The maximum in the energy distribution s...

The maximum in the energy distribution spectrum of the sun is at wavelength 4753A and its temperature is 6050 K. What will be the temperature of the star whose energy distribution shows a maximum at wavelength 9506A.

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AI Generated Solution

To solve the problem, we will use Wien's Displacement Law, which states that the product of the wavelength at which the emission of a black body spectrum is maximized (λ_max) and the absolute temperature (T) of the black body is a constant. This can be mathematically expressed as: \[ \lambda_{max} \cdot T = b \] where \( b \) is Wien's displacement constant, approximately equal to \( 2898 \, \mu m \cdot K \). ### Step-by-Step Solution: ...
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The spectral energy distribution of the sun has a maximum at 4754Å . If the temperature of the sun is 6050 K, what is the temperature of a star for which this maximum is at 9506Å ?

The wavelength of maximum energy distribution by a star A is 4500 Å at a temperature of 5000 K. Calculate the temperature of star B for which wavelength of maximum energy distribution is 8000 Å.

Knowledge Check

  • A star radiates maximum radiation at wavelength lamda_m at temperature T. What will be the temperture of another star which radiates maximum energy of wavelength 2lamda_m ?

    A
    `T/4`
    B
    2T
    C
    `T/2`
    D
    4T
  • The spectral energy distribution of the sun (temperature = 6050 K ) has a maximum at 4753Å The temperature of a star for which this maximum is at 9506 Å is

    A
    6050 K
    B
    3025 K
    C
    12100 K
    D
    24200 K
  • The spectral energy distribution of the sun has maxima at 4753overset@A What is the temperature of a star for which spectral distribution has maxima at 10350overset@A [temperature of sun is 6000 K]

    A
    2700 K
    B
    2755.4 K
    C
    3700 K
    D
    37554 K
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