Question:
In a nuclear reactor, the fuel is consumed at the rate of \( 1 \times 10^{-3} \) gs\(^{-1}\). The power generated in kW is:
In a nuclear reactor, the fuel is consumed at the rate of \( 1 \times 10^{-3} \) gs\(^{-1}\). The power generated in kW is:
Show Hint
Nuclear reactions release energy based on mass conversion using Einstein’s equation \( E = mc^2 \).
Updated On: Mar 18, 2026
- \( 9 \times 10^{14} \)
- \( 9 \times 10^{7} \)
- \( 9 \times 10^{8} \)
- \( 9 \times 10^{12} \)
Show Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Step 1: Use Energy
-Mass Relation Using Einstein’s mass-energy equivalence: \[ E = mc^2 \] where: - \( m = 1 \times 10^{-3} \) g = \( 1 \times 10^{-6} \) kg, - \( c = 3 \times 10^8 \) m/s.
Step 2: Compute Power Energy released per second: \[ P = (1 \times 10^{-6}) \times (9 \times 10^{16}) \] \[ P = 9 \times 10^{10} \text{ W} = 9 \times 10^7 \text{ kW} \]
Was this answer helpful?
0
0
Top AP EAMCET Physics Questions
- If only $\frac{1}{51}^{th}$ ot the main current is to be passed through a galvanometer then the shunt required is $R_1$ and if only $\frac{1}{11}^{th}$ of the main voltage is to be developed across the galvanometer, then the resistance required is $R_2$. Then $\frac{R_2}{R_1} =$
In the given circuit, the electric currents through $15\, \Omega$ and $6 \, \Omega$ respectively are
- In a nuclear reactor the activity of a radioactive substance is $2000 / s$. If the mean life of the products is $50$ minutes, then in the steady power generation, the number of radio nuclides is
- In a $p$ - type semiconductor the donor level is at $50 \,meV$ above the valence band. To produce one electron, the maximum wavelength of light photon required is (Planck's constant, $h=6.6 \times 10^{-34} \,Js$ and speed of light in vacuum, $c=3 \times 10^{8} \,ms ^{-1}$ )
- Potential energy of a body of mass $1\, kg$ free to move along X-axis is given by $U(x) = \left( \frac{x^2}{2} - x \right) J .$ If the total mechanical energy of the body is $2\, J$. then the maximum speed of the body is (Assume only conservative force acts on the body)
View More Questions
Top AP EAMCET Nuclear physics Questions
- In a nuclear reactor the activity of a radioactive substance is $2000 / s$. If the mean life of the products is $50$ minutes, then in the steady power generation, the number of radio nuclides is
What is the strong nuclear force in nature?
The binding energy of the nucleus is?
- The energy released in the fission of one \(_{92}^{235}{U}\) nucleus is 200 MeV. The energy released in the fission of 235 g of \(_{92}^{235}{U}\) is nearly:
- If the errors in the measurement of the mass and side of a cubical block are 2% and 1% respectively, then the error in the determination of the density of the material of the block is
View More Questions
Top AP EAMCET Questions
- If $\int \cos x . \cos 2x . \cos 5x dx = A \; \sin 2x + B \sin 4x + C \sin 6x + D \sin 8x + k $ (where $k$ is the arbitrary constant of integration), then $\frac{1}{B} + \frac{1}{C} = $
- If $k$ is one of the roots of the equation $x^2 - 25x + 24 = 0 $ such that $A = \begin{bmatrix}1&2&1\\ 3&2&3\\ 1&1&k\end{bmatrix} $ is a non-singular matrix, then $A^{-1}$ =
- If only $\frac{1}{51}^{th}$ ot the main current is to be passed through a galvanometer then the shunt required is $R_1$ and if only $\frac{1}{11}^{th}$ of the main voltage is to be developed across the galvanometer, then the resistance required is $R_2$. Then $\frac{R_2}{R_1} =$
- If $p$ and $q$ are respectively the global maximum and global minimum of the function $f(x) = x^2 e^{2x}$ on the interval $[-2, 2]$ , then $pe^{-4} + qe^4 = $
- If $\displaystyle\sum^n_{k - 1} \tan^{-1} \left( \frac{1}{k^2 + k + 1} \right) = \tan^{-1} (\theta) $ , then $\theta$ =
View More Questions