AIIMS AIIMS Solved Paper-2001

  • question_answer
    The velocity of a bullet is reduced from 200 m/s to 100 m/s, while travelling through a wooden block of thickness 10 cm. Assuming it to be uniform, the retardation will be:

    A) \[15\times {{10}^{4}}m/{{s}^{2}}\]          

    B)        \[10\times {{10}^{4}}m/{{s}^{2}}\]

    C)                        \[12\times {{10}^{4}}m/{{s}^{2}}\]

    D)                        \[14.5m/{{s}^{2}}\]

    Correct Answer: A

    Solution :

                    From equation of motion \[{{m}_{1}}:2{{m}_{2}}:3{{m}_{3}}\]                                ?...(1) where v is final velocity, u is initial velocity, a is retardation and s is distance travel. Given, v = 100 m/s, u = 200 m/s \[{{m}_{1}}:{{m}_{2}}:{{m}_{3}}\] Putting the numerical values in Eq. (1), we have                                            \[\overset{0}{\mathop{A}}\,\]   \[\mu \]                 \[\alpha \] \[v=\omega \sqrt{{{a}^{2}}-{{x}^{2}}}\] \[\sqrt{g}\]  \[{{C}_{1}}<{{C}_{2}}<{{C}_{3}}\] \[{{C}_{p}}>{{C}_{3}}.\] Minus sign shows negative acceleration i.e., retardation.


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