Imagine that a reactor converts all given mas | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The power $P$ is defined as the energy $E$ produced per unit time $\Delta t$,where $E = \Delta m c^2$.Thus,$P = \frac{\Delta m c^2}{\Delta t}$,whi

Vedclass · Accepted Answer

$4 	imes 10^{-2} \, g$

Vedclass · Answer

(C) The power $P$ is defined as the energy $E$ produced per unit time $\Delta t$,where $E = \Delta m c^2$.Thus,$P = \frac{\Delta m c^2}{\Delta t}$,which implies $\frac{\Delta m}{\Delta t} = \frac{P}{c^2}$.Given $P = 10^9\, W$ and $c = 3 	imes 10^8\, m/s$,the mass consumed per second is:$\frac{\Delta m}{\Delta t} = \frac{10^9}{(3 	imes 10^8)^2} = \frac{10^9}{9 	imes 10^{16}} = \frac{1}{9} 	imes 10^{-7} \, kg/s$.To find the mass consumed per hour,we multiply by the number of seconds in an hour $(3600\, s)$:$\Delta m = (\frac{1}{9} 	imes 10^{-7} \, kg/s) 	imes 3600\, s = 400 	imes 10^{-7} \, kg = 4 	imes 10^{-5} \, kg$.Converting to grams $(1\, kg = 1000\, g)$:$\Delta m = 4 	imes 10^{-5} 	imes 10^3 \, g = 4 	imes 10^{-2} \, g$.

Imagine that a reactor converts all given mass into energy and that it operates at a power level of $10^9\, W$. The mass of the fuel consumed per hour in the reactor will be: (velocity of light,$c = 3 \times 10^8\, m/s$)

Similar Questions

Fission of nuclei is possible because the binding energy per nucleon in them

On bombarding $U^{235}$ by slow neutrons,$200 \text{ MeV}$ of energy is released. If the power output of an atomic reactor is $1.6 \text{ MW}$,then the rate of fission will be:

The energy released when one nucleus of ${ }_{92} U^{235}$ undergoes fission is $188 MeV$. The energy released when $100 g$ of ${ }_{92} U^{235}$ undergoes fission is:

When a uranium isotope ${ }_{92}^{235} U$ is bombarded with a neutron,it generates ${ }_{36}^{89} Kr$,three neutrons and:

The binding energy per nucleon for a deuteron and helium are $1.1 \, MeV$ and $7 \, MeV$ respectively. If two deuteron nuclei fuse to form one helium nucleus,the energy released is $...... \, MeV$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module