AMU Medical AMU Solved Paper-1995

  • question_answer
    An\[\alpha -\]particle enters a straight hollow tube 1 m long with initial speed of\[1.0\times {{10}^{3}}\] m/s. After travelling horizontally with uniform acceleration. It leaves the tube with the speed of\[3.0\times {{10}^{3}}m/s\]. The time spent by the particle inside the tube is, in microseconds.

    A)  1000            

    B)  500

    C)  250             

    D)  50

    Correct Answer: B

    Solution :

    : \[{{v}^{2}}={{u}^{2}}+2as\] \[{{(3\times {{10}^{3}})}^{2}}={{(1\times {{10}^{3}})}^{2}}+2\times a\times 1\] or \[2a=(9\times {{10}^{6}})-(1\times {{10}^{6}})=8\times {{10}^{6}}\] or \[a=4\times {{10}^{6}}m/{{s}^{2}}\] Again, \[t=\frac{2\times {{10}^{3}}}{4\times {{10}^{6}}}\sec \] or\[t=500\times {{10}^{-6}}\sec \] or \[t=500\text{ }microsec\].


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