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  • Confused! kindly explain, Two guns A and B can fire bullets at speeds 1km/s and 2km/s respectively. From a point on a horizontal ground, they are fired in all possible directions. The ratio of maximum areas covered by the bullets fired by two guns , on th

Two guns A and B can fire bullets at speeds 1km/s and 2km/s respectively. From a point on a horizontal ground, they are fired in all possible directions. The ratio of maximum areas covered by the bullets fired by two guns , on the ground is:

 

  • Option 1)

     

    1:16

  • Option 2)

     

    1:2

  • Option 3)

    1:4

  • Option 4)

    1:8

Answers (1)

best_answer

 

Horizontal Range -

Horizontal distance travelled by projectile from the point of projectile to the point on ground where its hits.

R=\frac{u^{2}\sin 2\Theta }{g}

- wherein

Special case of horizontal range

For max horizontal range.

\Theta = 45^{0}

R_{max}=\frac{u^{2}\sin 2 (45) }{g}=\frac{u^{2}\times 1}{g}=\frac{u^{2}}{g}

Range=R=\frac{U^{2}sin2\Theta }{9}

R\prec U^{2}

and\: \: A\approx \Pi R^{2}

\Rightarrow A\prec R^{2}

\Rightarrow A\prec U^{4}

\Rightarrow \frac{A_{1}}{A_{2}}=\frac{U_{1}^{4}}{U_{2}^{4}}=\left [ \frac{U_{1}}{Y_{2}} \right ]^{4}=\left [ \frac{1}{2} \right ]^{4}=\frac{1}{16}

 

 

 


Option 1)

 

1:16

Option 2)

 

1:2

Option 3)

1:4

Option 4)

1:8

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