NTA Abhyas 2020
- Exam
- NTA Abhyas
- Year
- 2020
- Subject
- Physics
- Chapter
- Motion in Two Dimensions
NTA Abhyas 2020 · Physics · Motion in Two Dimensions
An artillery piece which consistently shoots its shells with the...
An artillery piece which consistently shoots its shells with the same muzzle speed has a maximum range . To hit a target which is from the gun and on the same level, the angle of & elevation & of the gun should be
Options
- A
- B
- C
- D
Correct answer
A.
Step-by-step solution
{R}_\max = \text{R} = \dfrac{u^{2}}{\text{g}} (at an angle of
Using \text{Range} = \dfrac{u^{2} \text\sin 2 \theta}{\text{g}}
then \dfrac{\text{R}}{2} = \left(\text{Rg}\right) \dfrac{\text\sin 2 \theta}{\text{g}}
\text\sin 2 \theta = \dfrac{1}{2}
Using \text{Range} = \dfrac{u^{2} \text\sin 2 \theta}{\text{g}}
then \dfrac{\text{R}}{2} = \left(\text{Rg}\right) \dfrac{\text\sin 2 \theta}{\text{g}}
\text\sin 2 \theta = \dfrac{1}{2}