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Standard XII

Physics

Wien's Displacement Law

A black body ...

Question

A black body is at a temperature of $2880 K$ . The radiation energy emitted by this object with wavelength in between $499$ nm and $500$ nm is $U_{1}$ , between $999$ nm and $1000$ nm is $U_{2}$ and between $1499$ nm and $1500$ nm is $U_{3}$ . If Wein constant is $2.8 \times 10^{6}$ nmK, then

U_{1} = 0

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U_{3} = 0

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U_{1} > U_{2}

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U_{2} > U_{1}

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Solution

The correct option is D $U_{2} > U_{1}$
Using Wien's displacement law, we get the wavelength at which intensity is maximum as $1000$ nm. Now, the spectrum of black body radiation looks like as shown in the figure. The energy of radiation corresponds to area under the curve from one wavelength to other. Since the peak is $1000$ nm, we can say that $U_{2}$ will be greater than both $U_{1}$ and $U_{3}$ .

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Similar questions

Q. A black body is at a temperature of

2880 K

. The energy of radiation emitted by this object with wavelength between

499

nm and

500

nm is

U_{1}

, between 999nm and 1000nm is

U_{2}

and between

1499

nm and

1500

nm is

U_{3}

. The Wein constant is

b = 2.88 \times 10^{6} n m

Q. A black body is at a temperature of

2880

K. The energy of radiation emitted by this body between wavelengths

499

nm and

500

nm is

U_{1}

; between

999

nm and

1000

nm is

U_{2}

; and between

1499

nm and

1500

nm is

U_{3}

. Then, (Wein's constant

b = 2.88 \times 10^{6} n m K

)

Q. A black body is at rest at a temperature of

2880 K

. The energy of radiation emitted by this object with wavelength between

499 n-m

and

500 n-m

U_{1}

, between

999

and

1000 nm

U_{2}

and between

1499 nm

and

1500 nm

U_{3}

. The Wien's constant

b = 2.88 \times 10^{6} nm-K

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A black body is at a temperature of 2880 K. The energy of radiation emitted by this object with wave length between 250 nm to 255 nm is U₁, between 500 nm to 505 nm is U₂and between 1500 nm to 1505 nm is U₃. Then for this situation mark the correct statement

A black body is at a temperature of 2880 K. The energy of radiation emitted by this body between wave lengths 499 nm and 500 nm is $U_{1}$ , between 999 nm and 1000 nm is $U_{2}$ and between 1499 nm and 1500 nm is $U_{3}$ . The Wien’s constant b = 2.88 $\times$ 106 nm K. Then

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A black body is at a temperature of 2880K. The radiation energy emitted by this object with wavelength in between 499nm and 500nm is U1, between 999nm and 1000nm is U2 and between 1499nm and 1500nm is U3. If Wein constant is 2.8×106nmK, then

A black body is at a temperature of $2880 K$ . The radiation energy emitted by this object with wavelength in between $499$ nm and $500$ nm is $U_{1}$ , between $999$ nm and $1000$ nm is $U_{2}$ and between $1499$ nm and $1500$ nm is $U_{3}$ . If Wein constant is $2.8 \times 10^{6}$ nmK, then