JEE Main & Advanced Physics Motion in a Straight Line / सरल रेखा में गति Question Bank Non-uniform Motion

  • question_answer
    An alpha particle enters a hollow tube of 4 m length with an initial speed of 1 km/s. It is accelerated in the tube and comes out of it with a speed of 9 km/s. The time for which it remains inside the tube is

    A)             \[8\times {{10}^{-3}}\]s      

    B)             \[80\times {{10}^{-3}}s\]

    C)             \[800\times {{10}^{-3}}s\]  

    D)             \[8\times {{10}^{-4}}s\]

    Correct Answer: D

    Solution :

                    \[{{v}^{2}}={{u}^{2}}+2as\Rightarrow {{(9000)}^{2}}-{{(1000)}^{2}}\]\[=2\times a\times 4\]             \[\Rightarrow a={{10}^{7}}m/{{s}^{2}}\]Now \[t=\frac{v-u}{a}\]             \[\Rightarrow \ t=\frac{9000-1000}{{{10}^{7}}}=8\times {{10}^{-4}}\ sec\]


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