Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JIPMER 2018
Exam
JIPMER
Year
2018
Subject
Physics
Chapter
Work, Power and Energy

JIPMER 2018 · Physics · Work, Power and Energy

A machine gun fires 360 bullets per minute, with a velocity of 600...

A machine gun fires 360 bullets per minute, with a velocity of 600 ms−1600 \mathrm{~ms}^{-1}. If the power of the gun is 5.4 kW , then mass of each bullet is

Options

  1. A5kg5 kg
  2. B0.5kg0.5 kg
  3. C5g5 g
  4. D0.5g0.5 g

Correct answer

C. 5g5 g

Step-by-step solution

Here, n=36060=6\mathrm{n}=\frac{360}{60}=6 bullets s −1{ }^{-1} Velocity, v=600 ms−1, m=\mathrm{v}=600 \mathrm{~ms}^{-1}, \mathrm{~m}= ? Power of gun = Power of bullets 5.4×103=12( nm)v22×5400=6×m(600)2or5.4 \times 10^3=\frac{1}{2}(\mathrm{~nm}) \mathrm{v}^2 2 \times 5400=6 \times \mathrm{m}(600)^2 or \quadm=2×54006×600×600 kg=1200 kg=1000200 g=5 g\begin{aligned} \mathrm{m} & =\frac{2 \times 5400}{6 \times 600 \times 600} \mathrm{~kg} \\ & =\frac{1}{200} \mathrm{~kg}=\frac{1000}{200} \mathrm{~g}=5 \mathrm{~g}\end{aligned}$$
Practice Work, Power and Energy on Quantrex Academy →

More from Work, Power and Energy

All Work, Power and Energy questions Full Work, Power and Energy list All JIPMER PYQs