JEE Main & Advanced Sample Paper JEE Main Sample Paper-42

  • question_answer
    The rms speed of a certain gas is v at 400 K. The temperature at which the rms speed becomes two times, will be

    A) 800 K                          

    B) 1600 K

    C) 1200 K                        

    D) None of these

    Correct Answer: B

    Solution :

    \[{{v}_{rms}}\propto \sqrt{T}\]\[\Rightarrow \]\[\frac{{{T}_{2}}}{{{T}_{1}}}=\frac{v_{2}^{2}}{v_{1}^{2}}=\frac{4{{v}^{2}}}{{{v}^{2}}}=4\]\[\Rightarrow \]\[{{T}_{2}}=4{{T}_{1}}\]\[=4\times 400=1600K\]


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