Haryana PMT Haryana PMT Solved Paper-2005

  • question_answer
    A black body at .temperature \[{{10}^{4}}K\]radiates maximum energy at wavelength \[500\overset{\text{o}}{\mathop{\text{A}}}\,\]. If the temperature is Increased 10 times, the maximum energy would be radiated at wavelength equal to :

    A) \[50000\overset{\text{o}}{\mathop{\text{A}}}\,\]

    B) \[500\overset{\text{o}}{\mathop{\text{A}}}\,\]

    C) \[50\overset{\text{o}}{\mathop{\text{A}}}\,\]

    D) \[5\overset{\text{o}}{\mathop{\text{A}}}\,\]

    Correct Answer: C

    Solution :

                    By Wiens displacement law \[{{\lambda }_{1}}{{T}_{1}}={{\lambda }_{2}}{{T}_{2}}\]                 or            \[{{\lambda }_{2}}=\frac{{{\lambda }_{1}}{{T}_{1}}}{{{T}_{2}}}\]                 \[\therefore \]  \[{{\lambda }_{2}}=\frac{500\overset{o}{\mathop{\text{A}}}\,\times {{10}^{4}}}{{{10}^{5}}}=50\overset{\text{o}}{\mathop{\text{A}}}\,\]


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