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NEET Sample Paper NEET Sample Test Paper-56

  • question_answer
    A projectile is thrown with an initial velocity of\[\left( a\hat{i}+b\hat{j} \right)m{{s}^{-1}}\]. If the range of the projectile is twice the maximum height reached by it, then:

    A) \[b=\frac{a}{2}\]                      

    B) \[\operatorname{b} = a\]  

    C) \[\operatorname{b} = 2a\]                     

    D) \[\operatorname{b} = 4a\]

    Correct Answer: C

    Solution :

    [c] Initial velocity \[=\text{ }ai+b\hat{j}\] Range \[=2{{H}_{\max }}\] \[{{u}_{x}}a\,\,\,,\,\,\,{{u}_{y}}=b\] \[T=\frac{2{{u}_{y}}}{g}=\frac{2b}{g}\] \[H=\frac{u\,_{y}^{2}}{g}=\frac{2b}{g}\] \[R=\frac{2{{u}_{x}}{{u}_{y}}}{g}=\frac{2ab}{g}\]             \[R\text{ }=\text{ }2H\]  (given) \[2ab\,=\frac{2{{b}^{2}}}{2b}\] \[b=2a\]


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