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JEE Main & Advanced Sample Paper JEE Main - Mock Test - 30

  • question_answer
    The velocity of a boat with respect to water is \[5\text{ }km/h\]making \[30{}^\circ \] with y-axis. The flow of river is\[5\text{ }km/hr\]. If the width of river is \[\left( \frac{\sqrt{3}}{2} \right)km\]as shown in figure, the coordinate of point where the boat reaches an opposite bank is

    A) \[\left( +0.1\,km,\,\frac{\sqrt{3}}{2}km \right)\]    

    B) \[\left( -0.1\,km,\,\frac{\sqrt{3}}{2}km \right)\]

    C) \[\left( -0.2\,km,\,\frac{\sqrt{3}}{2}km \right)\]      

    D) \[\left( 0.5\,km,\,\frac{\sqrt{3}}{2}km \right)\]

    Correct Answer: D

    Solution :

    [d] Y-coordinate is width of the river \[y=\frac{\sqrt{3}}{2}km\] \[t=\frac{width}{5\times \cos 30{}^\circ }=\frac{1}{5}hr.\] \[X=(5\cos 60{}^\circ )\times t=0.5km\]


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