Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Medical
  • Immediately after the explosion of an atom bomb, the ball of fire produced has a radius of <img alt="100 \mathrm{~m}" src="https://entrancecorner.oncodecogs.com/gif.latex?100%20%5Cmathrm%7B%7Em%7D"

Immediately after the explosion of an atom bomb, the ball of fire produced has a radius of 100 \mathrm{~m} and a temperature 105 \mathrm{~K}. What will be the approximate temperature when the ball expands adiabatically to a radius of 1000 \mathrm{~m} (suppose mono atomic qas is there)
 

Option: 1

1000 \mathrm{~K}
 


Option: 2

{100 \mathrm{~K}}
 


Option: 3

105 \times\left(10^{-3}\right)^{2 / 3}
 


Option: 4

200 \mathrm{~K}


Answers (1)

best_answer

\mathrm{r=100 \mathrm{~m}}

\mathrm{ \Rightarrow \quad \mathrm{V}_{\mathrm{i}}=\frac{4}{3} \pi(100)^3 }

\mathrm{ \mathrm{~T}_{\mathrm{i}}=105 \mathrm{~K} }

after explosion \mathrm{ \mathrm{r}=1000 \mathrm{~m}, \Rightarrow \mathrm{V}_{\mathrm{f}}=\frac{4}{3} \pi(1000)^3 }

\mathrm{ \mathrm{~T}_{\mathrm{i}} \mathrm{V}_{\mathrm{i}}^{\gamma-1}=\mathrm{T}_{\mathrm{f}} \mathrm{V}_{\mathrm{f}}{ }^{-1} }

\mathrm{ \mathrm{~T}_{\mathrm{f}}=\mathrm{T}_{\mathrm{i}}\left(\frac{\mathrm{V}_{\mathrm{i}}}{\mathrm{V}_{\mathrm{f}}}\right)^{\gamma-1} }

\mathrm{ \mathrm{~T}_{\mathrm{f}}=105\left(\frac{\frac{4}{3} \pi(100)^3}{\frac{4}{3} \pi(1000)^3}\right)^{\frac{5}{3}-1} }

\mathrm{=105 \times\left(10^{-3}\right)^{2 / 3} }

\mathrm{ =1.05 \mathrm{~K} }




 

Posted by

mansi

View full answer

NEET 2024 Most scoring concepts

    Just Study 32% of the NEET syllabus and Score up to 100% marks

Similar Questions

Trending Articles/News

anam-khan

NEET UG 2026 leak probe traces guess paper trail from Kerala student to Rajasthan network
anam-khan

'Replace NTA': FAIMA files plea in SC over NEET UG 2026 paper leak
anam-khan

NEET UG 2026 Paper Leak LIVE: Protests erupt across states, paper leak probe expands; re-NEET date soon

Latest Question