If the maximum emission wavelength of radiations emitted by the moon and the sun are 10-4 m and 0-5- 106 m respectively- then the ratio of temperature of the sun and moon will be

The correct option is A 200/1According to Wein's displacement law: λ T = b T = bλ T_sun = bλ_sun T_moon = bλ_moon i.e. T_sunT_moon = λ_m ...

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Standard XII

Physics

Doppler Effect in Light Waves

If the maximu...

Question

If the maximum emission wavelength of radiations emitted by the moon and the sun are $10^{- 4}$ m and $0.5 \times 10^{6}$ m respectively, then the ratio of temperature of the sun and moon will be

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200/1

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Solution

The correct option is A 200/1
According to Wein's displacement law:
$λ T = b$
$T = \frac{b}{λ}$
$T_{s u n} = \frac{b}{λ_{s u n}}$
$T_{m o o n} = \frac{b}{λ_{m o o n}}$
i.e.
$\frac{T_{s u n}}{T_{m o o n}} = \frac{λ_{m o o n}}{λ_{s u n}} = \frac{10^{- 4}}{0.5 \times 10^{- 6}} = 200$

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If the maximum emission wavelength of radiations emitted by the moon and the sun are 10−4 m and 0.5 × 106 m respectively, then the ratio of temperature of the sun and moon will be

The correct option is A 200/1According to Wein's displacement law:λT=bT=bλTsun=bλsunTmoon=bλmooni.e.TsunTmoon=λmoonλsun=10−40.5×10−6=200

If the maximum emission wavelength of radiations emitted by the moon and the sun are $10^{- 4}$ m and $0.5 \times 10^{6}$ m respectively, then the ratio of temperature of the sun and moon will be

The correct option is A 200/1
According to Wein's displacement law:
$λ T = b$
$T = \frac{b}{λ}$
$T_{s u n} = \frac{b}{λ_{s u n}}$
$T_{m o o n} = \frac{b}{λ_{m o o n}}$
i.e.
$\frac{T_{s u n}}{T_{m o o n}} = \frac{λ_{m o o n}}{λ_{s u n}} = \frac{10^{- 4}}{0.5 \times 10^{- 6}} = 200$