A) \[7.2km\]
B) \[4km\]
C) \[2km\]
D) \[4.5km\]
Correct Answer: B
Solution :
: Here, Speed of the aeroplane, \[v=720\text{ }kmph\] \[v=720\times \frac{5}{18}m\,{{s}^{-1}}=200m\,{{s}^{-1}}\] Angle of banking, \[\theta ={{45}^{o}}\] Let R be the radius of the loop. As \[\tan \theta =\frac{{{v}^{2}}}{Rg}\] \[\therefore \] \[R=\frac{{{v}^{2}}}{g\,\tan \theta }=\frac{{{(200)}^{2}}}{10\times \tan {{45}^{o}}}=\frac{4\times {{10}^{4}}}{10\times 1}\] \[=4000m=4km\]You need to login to perform this action.
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