Reactor Operational Physics Flashcards
During a reactor startup, the first reactivity addition caused the stable source range count rate to
increase from 20 cps to 40 cps. The second reactivity addition caused the stable count rate to increase
from 40 cps to 160 cps.
Which one of the following statements accurately compares the two reactivity additions?
The first reactivity addition was larger.
During a reactor startup, the first positive reactivity addition caused the stable source range count rate
to increase from 20 cps to 30 cps. The second positive reactivity addition caused the stable count rate
to increase from 30 cps to 60 cps. Keff was 0.97 prior to the first reactivity addition.
Which one of the following statements accurately compares the reactivity additions?
The first and second reactivity additions were approximately equal.
A nuclear power plant was operating at steady-state 100 percent power near the end of a fuel cycle
when a reactor trip occurred. Four hours after the trip, with reactor coolant temperature at normal
no-load temperature, which one of the following will cause the fission rate in the reactor core to
increase?
The operator fully withdraws one bank/group of control rods.
A nuclear power plant was operating at steady-state 100 percent power near the end of a fuel cycle
when a reactor trip occurred. Four hours after the trip, reactor coolant temperature is currently being
maintained at normal no-load temperature in anticipation of commencing a reactor startup.
At this time, which one of the following will cause the fission rate in the reactor core to decrease?
An additional 2 hours is allowed to pass with no other changes in plant parameters.
While withdrawing control rods during a reactor startup, the stable source range count rate doubled.
If the same amount of reactivity that caused the first doubling is added again, the stable count rate will
__________; and the reactor will be __________.
more than double; critical
A reactor startup is in progress and the reactor is slightly subcritical in the source range. Assuming
the reactor remains subcritical, a short control rod withdrawal will cause the reactor startup rate
indication to increase sharply in the positive direction, and then…
gradually decrease and stabilize at zero.
A subcritical reactor has a stable source range count rate of 150 cps with a shutdown reactivity of ˗2.0
%ΔK/K. How much positive reactivity must be added to establish a stable count rate of 300 cps?
1.0 %ΔK/K
A subcritical reactor has an initial Keff of 0.8 with a stable source range count rate of 100 cps. If
positive reactivity is added until Keff equals 0.95, at what value will the count rate stabilize?
400 cps
During a reactor startup, equal amounts of positive reactivity are being sequentially added, and the
source range count rate is allowed to reach equilibrium after each addition. Which one of the
following statements applies for each successive reactivity addition?
The numerical change in equilibrium count rate is greater.
Which one of the following describes the prompt jump and the change in stable source range count
rate resulting from a short control rod withdrawal with Keff at 0.95 as compared to an identical control
rod withdrawal with Keff at 0.99? (Assume the reactivity additions are equal, and the reactor remains
subcritical.)
The prompt jump in count rate will be greater with Keff at 0.99, and the increase in stable count rate
will be greater with Keff at 0.99.
A reactor is shut down by 1.8 %ΔK/K. Positive reactivity is added that increases the stable source
range count rate from 15 cps to 300 cps.
What is the current value of Keff?
0.999
A subcritical reactor has a stable source range count rate of 150 cps with a shutdown reactivity of ˗2.0
%ΔK/K. Approximately how much positive reactivity must be added to establish a stable count rate
of 600 cps?
1.5 %ΔK/K
A subcritical reactor has a stable source range count rate of 60 cps with a shutdown reactivity of -2.0
%ΔK/K. How much positive reactivity must be added to establish a stable count rate of 300 cps?
1.6 %ΔK/K
A reactor startup is in progress with the reactor currently subcritical.
Which one of the following describes the change in source range count rate resulting from a short
control rod withdrawal with Keff at 0.95 compared to an identical control rod withdrawal with Keff at
0.98? (Assume the reactivity additions are equal and the reactor remains subcritical.)
Both the prompt jump in count rate and the increase in stable count rate will be smaller with Keff at
0.95.
A reactor startup is being performed by adding equal amounts of positive reactivity and waiting for
neutron population to stabilize. As the reactor approaches criticality, the numerical change in stable
neutron population resulting from each reactivity addition will __________; and the time required for
the neutron population to stabilize after each reactivity addition will __________.
increase; increase
A reactor startup is being performed with xenon-free conditions. Control rod withdrawal is stopped
when Keff equals 0.995 and source range count rate stabilizes at 1,000 cps. No additional operator
actions are taken.
Which one of the following describes the count rate 20 minutes after rod withdrawal is stopped?
1,000 cps and constant.
A reactor startup is in progress. The reactor is slightly subcritical with a constant startup rate of
0.0 DPM. A short control rod insertion will cause the reactor startup rate indication to initially
become negative, and then…
gradually become less negative and return to 0.0 DPM.
A reactor startup is being commenced with the initial source range count rate stable at 20 cps. After a
period of control rod withdrawal, count rate stabilizes at 80 cps.
If the total reactivity added by the above control rod withdrawal is 4.5 %ΔK/K, how much additional
positive reactivity must be inserted to make the reactor critical?
1.5 %ΔK/K
A xenon-free shutdown nuclear power plant is slowly cooling down due to an unisolable steam leak.
The leak began when reactor coolant temperature was 400°F and the readings on all source range
channels were 80 cps. Currently, reactor coolant temperature is 350°F and all source range channels
indicate 160 cps.
Assume the moderator temperature coefficient remains constant throughout the cooldown, and no
operator action is taken. What will the status of the reactor be when reactor coolant temperature
reaches 290°F?
Supercritical, with source range count rate greater than 320 cps.
A reactor startup is in progress with Keff initially equal to 0.90. By what factor will the core neutron
level increase if the reactor is stabilized when Keff equals 0.99?
10
A reactor is shutdown with a Keff of 0.96 and a stable source range count rate of 50 cps when a reactor
startup is commenced. Which one of the following will be the stable count rate when Keff reaches
0.995?
400 cps
A nuclear power plant is being cooled down from 500°F to 190°F. Just prior to commencing the
cooldown, the source range count rate was stable at 32 cps. After two hours, with reactor coolant
temperature at 350°F, the source range count rate is stable at 64 cps.
Assume the moderator temperature coefficient remains constant throughout the cooldown and reactor
power remains below the point of adding heat.
Without additional operator action, what will the status of the reactor be when reactor coolant
temperature reaches 190°F?
Supercritical.
A reactor is critical in the source range during a reactor startup with a core effective delayed neutron
fraction of 0.007. The operator then adds positive reactivity to establish a stable 0.5 DPM startup
rate.
If the core effective delayed neutron fraction had been 0.005, what would be the approximate stable
startup rate after the addition of the same amount of positive reactivity?
0.76 DPM
Initially, a nuclear power plant is shut down with a Keff of 0.92 and a stable source range count rate of
200 cps. Then, a reactor startup is initiated. All control rod motion is stopped when Keff equals
0.995. The instant that rod motion stops, source range count rate is 1,800 cps.
When source range count rate stabilizes, count rate will be approximately…
3,200 cps
Initially, a nuclear power plant was shut down with a stable source range count rate of 30 cps. Using
many small additions of positive reactivity, a total of 0.1 %ΔK/K was added to the core and the stable
source range count rate is currently 60 cps.
What was the stable source range count rate after only 0.05 %ΔK/K had been added during the above
process?
40 cps
A PWR nuclear power plant has been shut down for two weeks and currently has the following stable
conditions:
Reactor coolant temperature = 550°F
Reactor coolant boron concentration = 800 ppm
Source range count rate = 32 cps
A reactor coolant boron dilution is commenced. After two hours, with reactor coolant boron
concentration stable at 775 ppm, the source range count rate is stable at 48 cps.
Assume the differential boron worth (ΔK/K/ppm) remains constant throughout the dilution. Also
assume that reactor coolant temperature remains constant, control rod position does not change, and
no reactor protection actuations occur.
If the reactor coolant boron concentration is further reduced to750 ppm, what will be the status of the
reactor?
Subcritical, with a stable source range count rate of approximately 96 cps.
Refer to the drawing that shows a graph of fission rate versus time (see figure below). Both axes have
linear scales.
Which one of the following events, initiated at 0 seconds, could cause the reactor response shown on
the graph?
A step addition of positive reactivity to a reactor that is initially subcritical in the source range and
remains subcritical for the duration of the 60-second interval shown.
At the beginning of a reactor startup, Keff was 0.97 and the stable source range count rate was 40 cps.
After several incremental control rod withdrawals, the stable source range count rate was 400 cps.
The next incremental control rod withdrawal resulted in a stable source range count rate of 600 cps.
What is the current Keff?
0.998
During a reactor startup, the operator adds 1.0 %ΔK/K of positive reactivity by withdrawing control
rods, thereby increasing the stable source range count rate from 220 cps to 440 cps.
Approximately how much additional positive reactivity is required to raise the stable count rate to 880
cps?
0.5 %ΔK/K
Initially, a reactor is subcritical with a Keff of 0.97 and a stable source range count rate of 500 cps.
Which one of the following will be the approximate final steady-state count rate following a rod
withdrawal that adds 1.05 %ΔK/K?
750 cps
During a reactor startup, control rods are withdrawn such that Keff increases from 0.98 to 0.99. If the
stable source range count rate before the rod withdrawal was 500 cps, which one of the following will
be the final stable count rate?
1,000 cps
As a reactor approaches criticality during a reactor startup, it takes longer to reach an equilibrium
source range count rate after each control rod withdrawal due to the increased…
number of neutron generations required to reach a stable neutron level.
During a reactor startup, the first reactivity addition caused the stable source range count rate to
increase from 20 cps to 40 cps. The second reactivity addition caused the stable count rate to increase
from 40 cps to 80 cps. Keff was 0.92 prior to the first reactivity addition.
Which one of the following statements describes the magnitude of the reactivity additions?
The first reactivity addition was approximately twice as large as the second.
With Keff at 0.92 during a reactor startup, the stable source range count rate is noted to be 780 cps.
Later in the same startup, the stable count rate is 4,160 cps.
What is the current value of Keff?
0.985
Two reactors are currently shut down with reactor startups in progress. The reactors are identical
except that reactor A has a source neutron strength of 100 neutrons per second and reactor B has a
source neutron strength of 200 neutrons per second. The control rods are stationary and Keff is 0.98 in
both reactors. Core neutron levels have stabilized in both reactors.
Which one of the following lists the core neutron levels (neutrons per second) in reactors A and B?
Reactor A Reactor B
(n/sec) (n/sec)
5,000 10,000
With Keff at 0.95 during a reactor startup, source range indication is stable at 100 cps. After a number
of control rods have been withdrawn, source range indication stabilizes at 270 cps. What is the
current value of Keff?
0.981
A reactor startup is in progress with a current Keff of 0.95 and a stable source range count rate of
120 cps. Which one of the following stable count rates will occur when Keff becomes 0.97?
200 cps
A reactor startup is in progress with a current Keff of 0.95 and a stable source range count rate of
150 cps. Which one of the following stable count rates will occur when Keff becomes 0.98?
375 cps
With Keff at 0.95 during a reactor startup, source range indication is stable at 120 cps. After a period
of control rod withdrawal, source range indication stabilizes at 600 cps.
What is the current value of Keff?
0.99
A reactor is shutdown with a Keff of 0.8. The source range count rate is stable at 800 cps. What
percentage of the core neutron population is being contributed directly by neutron sources other than
neutron-induced fission?
20 percent
During a reactor startup, positive reactivity addition X caused the stable source range count rate to
increase from 20 cps to 40 cps. Later in the startup, after several more additions of positive
reactivity, positive reactivity addition Y caused the stable source range count rate to increase from
320 cps to 640 cps.
Which one of the following statements describes how the magnitudes of the two positive reactivity
additions (X and Y) compare?
Reactivity addition X was several times greater in magnitude than reactivity addition Y.
A subcritical reactor has a stable source range count rate of 2.0 x 105 cps with a Keff of 0.98. Positive
reactivity is added to the core until a stable count rate of 5.0 x 105 cps is achieved. What is the current
value of Keff?
0.992
A reactor is shutdown with a Keff of 0.8. The source range count rate is stable at 800 cps. What
percentage of the core neutron population is being contributed directly by neutron-induced fission?
80 percent
A reactor is shutdown with a Keff of 0.96. The source range count rate is stable at 480 cps. What
percentage of the core neutron population is being contributed directly by neutron sources other than
neutron-induced fission?
4 percent
During a reactor startup, positive reactivity addition X caused the stable source range count rate to
increase from 15 cps to 30 cps. Later in the startup, after several more positive reactivity additions,
positive reactivity addition Y caused the stable source range count rate to increase from 60 cps to
120 cps.
With the reactor still subcritical, which one of the following statements describes how the magnitudes
of positive reactivity additions X and Y compare?
Positive reactivity addition X was greater than positive reactivity addition Y.
As criticality is approached during a reactor startup, equal insertions of positive reactivity result in a
__________ numerical change in the stable source range count rate and a __________ time to reach
each new stable count rate.
larger; longer
A reactor startup is in progress with a stable source range count rate and the reactor is near criticality.
Which one of the following statements describes count rate characteristics during and after a 5-second
control rod withdrawal? (Assume the reactor remains subcritical.)
The count rate will rapidly increase (prompt jump), then gradually increase and stabilize at a
higher value.
During an initial fuel load, the subcritical multiplication factor increases from 1.0 to 4.0 as the first 100
fuel assemblies are loaded. What is Keff after the first 100 fuel assemblies are loaded?
0.75
Refer to the drawing of three 1/M plots labeled A, B, and C (see figure below). Each axis has linear
units.
The least conservative approach to criticality is represented by plot __________; which could possibly
result from recording source range count rates at __________ time intervals after incremental fuel
loading steps as compared to the conditions represented by the other plots.
c; shorter
A reactor startup is in progress for a reactor that is in the middle of a fuel cycle. The reactor coolant
system is at normal operating temperature and pressure. The main steam isolation valves are open
and the main turbine bypass (also called steam dump) valves are closed. The reactor is near
criticality.
Reactor startup rate (SUR) is stable at zero when, suddenly, a turbine bypass valve fails open and
remains stuck open, dumping steam to the main condenser. The operator immediately ensures no
control rod motion is occurring and takes no further action. Assume the steam generator water levels
remain stable, and no automatic reactor protective actions occur.
As a result of the valve failure, SUR will initially become __________; and reactor power will
stabilize __________ the point of adding heat.
positive; above
Refer to the drawing of a 1/M plot with curves A and B (see figure below). Each axis has linear units.
Curve A would result if each fuel assembly loaded during the early stages of the refueling caused a
relatively __________ fractional change in source range count rate compared to the later stages of the
refueling; curve B would result if each fuel assembly contained equal __________.
large; reactivity
During an initial fuel load, the subcritical multiplication factor increases from 1.0 to 8.0. What is the
current value of Keff?
0.875
Refer to the drawing of a 1/M plot with curves A and B (see figure below). Each axis has linear units.
Curve A would result if each fuel assembly loaded during the early stages of core refueling caused a
relatively __________ fractional change in stable source range count rate compared to the later stages
of the refueling; curve B would result if each fuel assembly contained equal __________
small; reactivity
During a reactor startup, as Keff increases toward 1.0 the value of 1/M…
decreases toward zero.
The following data was obtained under stable conditions during a reactor startup:
Control Rod Position Source Range
(units withdrawn) Count Rate (cps)
0 20
10 25
15 28
20 33
25 40
30 50
Assuming uniform differential rod worth, at what approximate control rod position will criticality
occur?
46 to 55 units withdrawn
The following data was obtained under stable conditions during a reactor startup:
Control Rod Position Source Range
(units withdrawn) Count Rate (cps)
0 180
10 210
15 250
20 300
25 360
30 420
Assuming uniform differential rod worth, at what approximate control rod position will criticality
occur?
46 to 55 units withdrawn
The following data was obtained under stable conditions during a reactor startup:
Control Rod Position Source Range
(units withdrawn) Count Rate (cps)
0 180
5 200
10 225
15 257
20 300
25 360
30 450
Assuming uniform differential rod worth, at what approximate control rod position will criticality
occur?
50 units withdrawn
Control Rod Position Source Range
(units withdrawn) Count Rate(cps)
10 360
15 400
20 450
25 514
30 600
35 720
40 900
60 units withdrawn
An estimated critical rod position has been calculated for criticality to occur 4 hours after a reactor trip
from steady-state 100 percent power. The actual critical rod position will be lower than the estimated
critical rod position if…
the steam dump pressure setpoint is lowered by 100 psi prior to reactor startup.
Which one of the following is not required to determine the estimated critical boron concentration for
a reactor startup to be performed 48 hours following an inadvertent reactor trip?
Steam generator levels just prior to the trip
An estimated critical rod position (ECP) has been calculated for criticality to occur 6 hours after a
reactor trip from 60 days of operation at 100 percent power. Which one of the following events or
conditions will result in the actual critical rod position being lower than the ECP?
Steam generator pressures are decreased by 100 psi just prior to criticality.
Which one of the following conditions will result in criticality occurring at a rod position that is lower
than the estimated control rod position?
Adjusting reactor coolant system boron concentration to 50 ppm lower than assumed for startup
calculations.
An estimated critical rod position (ECP) has been calculated for criticality to occur 15 hours after a
reactor trip from long-term 100 percent power operation. Which one of the following conditions
would cause the actual critical rod position to be higher than the ECP?
Reactor criticality is achieved approximately 2 hours earlier than anticipated.
A reactor is subcritical with a startup in progress. Which one of the following conditions will result in
a critical rod position that is lower than the estimated critical rod position?
An inadvertent dilution of reactor coolant system boron concentration
Control rods are being withdrawn during a reactor startup. Which one of the following will result in
reactor criticality at a rod position that is higher than the estimated critical rod position?
Steam generator pressure increases by 50 psia.
A reactor startup is in progress following a reactor trip from steady-state 100 percent power. Which
one of the following conditions will result in criticality occurring at a rod position that is higher than
the estimated critical rod position?
Misadjusting the steam dump (turbine bypass) controller such that steam generator pressure is
maintained 50 psig higher than the required no-load setting.
An estimated critical rod position (ECP) has been calculated for criticality to occur 15 hours after a
reactor trip that ended three months of operation at 100 percent power.
Which one of the following will result in criticality occurring at a rod position that is lower than the
calculated ECP?
Using a pretrip reactor power of 90 percent to determine power defect.
A reactor trip has occurred from 100 percent reactor power and equilibrium xenon-135 conditions near
the middle of a fuel cycle. An estimated critical rod position (ECP) has been calculated using the
following assumptions:
$ Criticality occurs 24 hours after the trip.
$ Reactor coolant temperature is 550°F.
$ Reactor coolant boron concentration is 400 ppm.
Which one of the following will result in criticality occurring at a rod position that is higher than the
calculated ECP?
Misadjusting the steam dump (turbine bypass) controller such that reactor coolant temperature is
being maintained at 553°F.
A reactor trip has occurred from 100 percent power and equilibrium xenon-135 conditions near the
middle of a fuel cycle. An estimated critical rod position (ECP) has been calculated for the
subsequent reactor startup using the following assumptions:
$ Criticality occurs 24 hours after the trip.
$ Reactor coolant temperature is 550°F.
$ Reactor coolant boron concentration is 400 ppm.
Which one of the following will result in criticality occurring at a control rod position that is lower
than the calculated ECP?
Decreasing reactor coolant system boron concentration to 350 ppm
With Keff at 0.985, how much reactivity must be added to make a reactor exactly critical?
1.52 %ΔK/K
A reactor is subcritical by 1.0 %ΔK/K when the operator dilutes the reactor coolant system boron
concentration by 30 ppm. If differential boron worth is -0.025 %ΔK/K/ppm, the reactor is currently…
subcritical.
When a reactor is critical, reactivity is…
0.0 ΔK/K.
During a reactor startup, if the startup rate is constant and positive without any further reactivity
addition, then the reactor is…
supercritical.
Initially, a reactor is critical at 10,000 cps in the source range when a steam generator atmospheric
relief valve fails open. Assume end of fuel cycle conditions, no reactor trip, and no operator actions
are taken.
When the reactor stabilizes, the average reactor coolant temperature (Tave) will be __________ than
the initial Tave and reactor power will be __________ the point of adding heat.
less; greater than