Answer :
Answer:1.55 times
Explanation:
Given
First wavelength[tex](\lambda _1)=450 nm[/tex]
Second wavelength[tex](\lambda _2)=700 nm[/tex]
According wien's diplacement law
[tex]\lambda T=constant[/tex]
where [tex]\lambda =wavelength[/tex]
T=Temperature
Let [tex]T_1 and T_2[/tex] be the temperatures corresponding to [tex]\lambda _1 & \lambda _2[/tex] respectively.
[tex]\lambda _1\times T_1=\lambda _2\times T_2[/tex]
[tex]\frac{T_1}{T_2}=\frac{\lambda _2}{\lambda _1}[/tex]
[tex]\frac{T_1}{T_2}=\frac{700}{450}=1.55 [/tex]
Thus object with [tex]\lambda 450 nm[/tex] is 1.55 times hotter than object with wavelength [tex]\lambda =700 nm[/tex]