Question

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

Solution

Correct option is

 

Wien’s law states that

                                  

or                                   

                                           

SIMILAR QUESTIONS

Q1

A wire of cross-sectional area A at temperature t is held taut with negligible tension between two rigid supports. If the wire is cooled to a temperature  what tension is developed in the wire? The coefficient of linear expansion is  and the Young’s modulus of the wire is Y.

Q2

Two uniform brass rods A and of length l and 2and radii 2r and rrespectively are heated to the same temperature. The ratio of the increase in the length of A to that of B is

Q3

Two rods of different materials having coefficients of thermal expansion  and Young’s modulii Y1Y2 respectively are fixed between two rigid massive walls. The rods are heated such that they undergo the same increase in temperature. There is no bending of the rods. If  the thermal stresses developed in the two rods are equal provided Y1 : Y2 is equal to:

Q4

The water equivalent of a copper calorimeter is 4.5 g. If the specific heat of copper is 0.09 cal.g–1oC–1 the

Q5

A slab of stone of area 0.34 m2 and thickness 10 cm is exposed on the lower face to steam at 100oC. A block of ice at 0oC rests on the upper face of the slab. In one hour, 3.6 kg of ice is melted. Assume that the heat loss from the sides is negligible. The latent heat of fusion of ice is  What is the thermal conductivity of the stone in units of Js–1m–1oC–1?

Q6

An ice-box is made of wood 1.75 cm thick, lined inside with cork 2 cm thick. If the temperature of the inner surface of the cork is steady at 0oC and that of the outer surface is steady at 12oC, what is the temperature of the surface? The thermal conductivity of wood is 5 times that of cork.

                                                         

Q7

The tungsten filament of an electric lamp has a surface area A and a power rating P. if the emissivity of the filament is  is Stefan’s constant, the steady temperature of the filament will be

Q8

What are the dimensions of Stefan’s constant?

Q9

Each square meter of sun’s surface radiates energy at the rate of . Assuming that Stefan’s law applies to the radiation, the temperature of sun’s surface is (Stefan’s constant )

Q10

The specific heat of helium at constant volume is 12.6 J mol–1K–1. What is the specific of hydrogen at constant volume in J mol–1K–1? Assume that the temperature of the gas is moderate.