9th Class Science Force and laws of motion Question Bank Force and Laws of Motion

  • question_answer
    An alpha-particle is emitted by U238 nucleus with a speed of \[\text{1}.\text{5 x 1}{{0}^{\text{7}}}\] m/sec. The recoil speed of the remaining nucleus will be

    A)  \[\text{2}.\text{4 x 1}{{0}^{\text{5}}}\text{ m}/\text{sec}\]  

    B)  \[0.\text{24 x 1}{{0}^{\text{5}}}\text{ m}/\text{sec}\]

    C)  \[\text{24 x 1}{{0}^{\text{5}}}\text{ m}/\text{sec}\]

    D)  \[\text{245 x 1}{{0}^{\text{5}}}\text{ m}/\text{sec}\]

    Correct Answer: A

    Solution :

     Mass of alpha particle\[=4\] Mass of remaining nucleus\[=234\] Recoil speed of the heavier particle will be smaller. \[\therefore \]      \[v'=1.5\times {{10}^{7}}\times \frac{4}{234}\]                 \[=2.4\times {{10}^{5}}m/s\]


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