JEE Main 201910 JanuaryMorning Shift
- Exam
- JEE Main
- Year
- 2019
- Date
- 10 January
- Shift
- Morning Shift
- Subject
- Physics
- Chapter
- Motion in Two Dimensions
JEE Main 2019 · 10 January · Morning Shift · Physics · Motion in Two Dimensions
Two guns A and B can fire bullets at speeds 1km / s and 2km / s...
Two guns and can fire bullets at speeds and 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 the two guns, on the ground is:
Options
- A
- B
- C
- D
Correct answer
A.
Step-by-step solution
\dfrac{{A}_{1}}{{A}_{2}} = \dfrac{\pi{\left({R}_\max\right)}_{1}^{2}}{\pi{\left({R}_\max\right)}_{2}^{2}} = \dfrac{{u}_{1}^{4}}{{u}_{2}^{4}} = \dfrac{1}{16}
\left[∵ max . Range = \dfrac{{u}^{2}}{g}\right]
\left[∵ max . Range = \dfrac{{u}^{2}}{g}\right]