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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Physics
Chapter
Motion in One Dimension

NTA Abhyas 2020 · Physics · Motion in One Dimension

A rifle with a muzzle velocity of 100ms^ - 1 shoots a bullet at a...

A rifle with a muzzle velocity of 100ms−1100ms^{- 1} shoots a bullet at a small target 30m30m away in the same horizontal line. How high above the target must the gun be aimed so that the bullet will hit the target?A rifle with a muzzle velocity of 100ms^ - 1 shoots a bullet at a small target 30m away in the same horizontal line.

Options

  1. A0.45m0. 45m
  2. B0.60m0. 60m
  3. C0.75m0. 75m
  4. D0.90m0. 90m

Correct answer

A. 0.45m0. 45m

Step-by-step solution

3 0 = \dfrac{u^{2} \text{\sin 2} \theta}{\text{g}} ⇒ 3 0 \times 1 0 = 1 0 {0}^{2} \text\sin 2 \theta

\text{\sin 2} \theta = 0 \text{.} 0 3 ⇒ 2 \theta = 0 \text{.} 0 3

\theta = 0 \text{.} 0 1 5 ⇒ \text\tan \theta = 0 \text{.} 0 1 5

h30=0.015⇒h=0.45m\dfrac{\text{h}}{3 0} = 0 \text{.} 0 15 ⇒ \text{h} = 0 \text{.} 4 5\text{m}

A rifle with a muzzle velocity of 100ms^ - 1 shoots a bullet at a small target 30m away in the same horizontal line.
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