experimental investigations show that the intensity of solar radiation

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Experimental investigations show that the intensity of solar radiation is maximum for a wavelength 480 n m in the visible ragion. Estimate the surface temperature of sun. (Given Wien's constant b = 2.88 × 10 − 3 m K ).

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The correct Answer is: B

To estimate the surface temperature of the sun using the given wavelength of maximum intensity of solar radiation and wien's constant, we can follow these steps: step 1: understand wien's displacement law wien's displacement law states that the wavelength at which the intensity of radiation is maximum (λ_max) is inversely proportional to the absolute temperature (t) of the black body. the relationship is given by the formula: λ max = b t where: - λ max is the wavelength of maximum intensity, - b is wien's constant, and - t is the absolute temperature in kelvin. step 2: rearrange the formula to solve for temperature to find the temperature (t), we can rearrange the formula: t = b λ max step 3: convert wavelength to meters the given wavelength is in nanometers (480 nm). we need to convert this to meters for consistency with wien's constant, which is in meters: λ max = 480 nm = 480 × 10 − 9 m step 4: substitute the values into the formula now we can substitute the values of b and λ max into the rearranged formula: b = 2.88 × 10 − 3 m k substituting the values: t = 2.88 × 10 − 3 480 × 10 − 9 step 5: calculate the temperature now we perform the calculation: t = 2.88 × 10 − 3 480 × 10 − 9 = 2.88 480 × 10 6 calculating 2.88 480 : 2.88 480 ≈ 0.006 thus, t ≈ 0.006 × 10 6 = 6000 k step 6: conclusion the estimated surface temperature of the sun is approximately: t ≈ 6000 k, topper's solved these questions.

THERMAL PROPERTIES OF MATTER

SYSTEM OF PARTICLES AND ROTATIONAL MOTIONS

THERMODYNAMICS

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Experimental investigations show that the intensity of the solar radiation is maximum for a wavelength 4750 ^ A in the visible region. If the surface temperature of the sun is 6000 K, what is the value of the Wien’s constant b?

The correct option is D Wien’s law states that λ m T = b O r b = ( 4750 × 10 − 10 m ) × 6000 K = 2.85 × 10 − 3 m K Hence the correct choice is (d).

Experimental investigations show that the intensity of solar radiation is maximum for a wavelength 480 n m in the visible region. Estimate the surface temperature of the sun. Given Wien's constant, b = 2.88 × 10 − 3 m K .

Experimental investigations show that the intensity of the solar radiation is maximum for a wavelength 4750 ^ A in the visible region. If the surface temperature of the sun is 6000 K, what is the value of the Wien’s constant b?

• Experimental investigations show that the intensity of solar radiation is maximum for a wavelength 480 nm in the visible region. Estimate the surface temperature of sun. (Given Wien's constant b = 2.88×10-3 mK.)

Q. Experimental investigations show that the intensity of solar radiation is maximum for a wavelength 480 nm in the visible region. Estimate the surface temperature of sun. (Given Wien's constant b = 2.88 × 1 0 − 3 m K . )

The wien's radiation law is given by λ m ​ t = b for the given problem, b = 2.88 × 1 0 − 3 m k hence, λ m ​ t = 2.88 × 1 0 − 3 ⇒ t = λ m ​ 2.88 × 1 0 − 3 ​ = 480 × 1 0 − 9 2.88 × 1 0 − 3 ​ = 6000 k.

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Test yourself, neet physics solved question paper 2010, multiple choice questions.

Experimental investigations show that the intensity of solar radiation is maximum for a wavelength 480 nm in the visible region. Estimate the surface temperature of sun. (Given Wien's constant b = 2.88 x 10 -3 mK.)

The   Wien ' s   radiation   law   is   given   by                               λ m T   =   b For   the   given   problem ,   b   =   2 . 88   ×   10 - 3   mK Hence ,     λ m T   =   2 . 88   ×   10 - 3 ⇒           T   =   2 . 88   ×   10 - 3 λ m   =   2 . 88   ×   10 - 3 480   ×   10 - 9                           =   6000   K

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Experimental investigations show that the intensity of

Experimental investigations show that the intensity of solar radiation is maximum for a wavelength 480   n m in the visible region. Estimate the surface temperature of the sun. Given Wien's constant, b = 2.88 ×   10 − 3 m K .

10 6   K

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Right Answer is: B

According to Wien's law, λ m T = b ∴ T = b λ m = 2.88 × 10 − 3 480 × 10 − 9 = 6000   K Hence, the correct choice is (b).

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