A) (a)\[{{R}^{2}}=2\,{{h}_{1}}{{h}_{2}}\]
B) (b)\[{{R}^{2}}=16\,{{h}_{1}}{{h}_{2}}\]
C) (c)\[{{R}^{2}}=4\,{{h}_{1}}{{h}_{2}}\]
D) (d)\[{{R}^{2}}=\,{{h}_{1}}{{h}_{2}}\]
Correct Answer: B
Solution :
| [b] |
 |
| For same range angle of projection will be\[\theta \And 90-\theta \] |
| \[R=\frac{{{u}^{2}}2\sin \theta \cos \theta }{g}\] |
| \[{{h}_{1}}=\frac{{{u}^{2}}{{\sin }^{2}}\theta }{g}\] |
| \[{{h}_{2}}=\frac{{{u}^{2}}{{\sin }^{2}}(90-\theta )}{g}\] |
| \[\frac{{{R}^{2}}}{{{h}_{1}}{{h}_{2}}}=16\] |
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