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(B) $1$. Statement $A$ is incorrect because the intensity of radiation increases with temperature,so $T_1 > T_2 > T_3 > T_4$.$2$. Statement $B$ is cor

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$3$

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(B) $1$. Statement $A$ is incorrect because the intensity of radiation increases with temperature,so $T_1 > T_2 > T_3 > T_4$.$2$. Statement $B$ is correct; Max Planck proposed that atoms in a black body behave as oscillators performing simple harmonic motion.$3$. Statement $C$ is correct; according to Wien's displacement law,$\lambda_{max} \propto \frac{1}{T}$,so as temperature increases,the peak wavelength shifts to shorter values.$4$. Statement $D$ is incorrect; Wien's displacement law states $\lambda_{max} T = 	ext{constant}$,which implies $T \propto \frac{1}{\lambda_{max}}$. Since frequency $
u = \frac{c}{\lambda}$,we have $T \propto 
u_{max}$,meaning $\frac{T}{
u_{max}} = 	ext{constant}$.$5$. Statement $E$ is correct; Planck's quantum theory successfully explained the black body radiation spectrum.Thus,the correct statements are $B$,$C$,and $E$. The total number of correct statements is $3$.

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