Q. In a cross between a homozygous tall plant and a homozygous short plant, what will be the height of the F1 generation? (2019)
-
A.
Tall
-
B.
Short
-
C.
Medium
-
D.
Variable
Solution
The height of the F1 generation will be tall, as tall is the dominant trait.
Correct Answer:
A
— Tall
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Q. In a cross between a red flowered plant (RR) and a white flowered plant (rr), what will be the color of the flowers in the F1 generation? (2019)
-
A.
Red
-
B.
White
-
C.
Pink
-
D.
Purple
Solution
The F1 generation will have red flowers since red is dominant over white.
Correct Answer:
A
— Red
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Q. In a crystal lattice, the arrangement of particles is determined by which of the following? (2019)
-
A.
Temperature
-
B.
Pressure
-
C.
Intermolecular forces
-
D.
All of the above
Solution
The arrangement of particles in a crystal lattice is primarily determined by intermolecular forces, which dictate how particles pack together.
Correct Answer:
C
— Intermolecular forces
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Q. In a cyclic process, the change in internal energy is:
-
A.
Positive
-
B.
Negative
-
C.
Zero
-
D.
Depends on the path taken
Solution
In a cyclic process, the system returns to its initial state, so the change in internal energy is zero.
Correct Answer:
C
— Zero
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Q. In a cyclic process, the change in internal energy of the system is:
-
A.
Positive
-
B.
Negative
-
C.
Zero
-
D.
Depends on the work done
Solution
In a cyclic process, the system returns to its initial state, so the change in internal energy is zero.
Correct Answer:
C
— Zero
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Q. In a cyclic process, the net work done by the system is equal to:
-
A.
The net heat added to the system
-
B.
The change in internal energy
-
C.
The heat lost by the system
-
D.
Zero
Solution
In a cyclic process, the net work done by the system is zero because the system returns to its initial state.
Correct Answer:
D
— Zero
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Q. In a cyclic process, the net work done is equal to the:
-
A.
Change in internal energy
-
B.
Heat added to the system
-
C.
Heat removed from the system
-
D.
Net heat transfer
Solution
In a cyclic process, the net work done is equal to the heat added to the system.
Correct Answer:
B
— Heat added to the system
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Q. In a cyclic process, the net work done is equal to: (2020)
-
A.
Net heat added
-
B.
Change in internal energy
-
C.
Zero
-
D.
Net heat removed
Solution
In a cyclic process, the net work done is equal to the net heat added to the system, as the internal energy returns to its initial state.
Correct Answer:
A
— Net heat added
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Q. In a cyclic process, what is the net change in internal energy of the system?
-
A.
Positive
-
B.
Negative
-
C.
Zero
-
D.
Depends on the path taken
Solution
In a cyclic process, the system returns to its initial state, so the net change in internal energy is zero.
Correct Answer:
C
— Zero
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Q. In a cyclic process, what is the net change in internal energy?
-
A.
Positive
-
B.
Negative
-
C.
Zero
-
D.
Depends on the process
Solution
In a cyclic process, the system returns to its initial state, so the net change in internal energy is zero.
Correct Answer:
C
— Zero
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Q. In a cyclic quadrilateral, if one angle is 80 degrees, what is the maximum possible measure of the opposite angle?
-
A.
100 degrees
-
B.
80 degrees
-
C.
180 degrees
-
D.
90 degrees
Solution
In a cyclic quadrilateral, opposite angles are supplementary. Therefore, if one angle is 80 degrees, the opposite angle can be 100 degrees.
Correct Answer:
A
— 100 degrees
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Q. In a cyclic quadrilateral, the opposite angles are related in which of the following ways?
-
A.
They are equal.
-
B.
They are supplementary.
-
C.
They are complementary.
-
D.
They are independent.
Solution
In a cyclic quadrilateral, the opposite angles are supplementary, meaning they add up to 180 degrees.
Correct Answer:
B
— They are supplementary.
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Q. In a cyclic quadrilateral, the opposite angles are related in which way? (2023)
-
A.
They are equal.
-
B.
They are supplementary.
-
C.
They are complementary.
-
D.
They are independent.
Solution
In a cyclic quadrilateral, the opposite angles are supplementary, meaning they add up to 180 degrees.
Correct Answer:
B
— They are supplementary.
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Q. In a cyclic quadrilateral, which of the following is true regarding its opposite angles?
-
A.
They are equal.
-
B.
They are supplementary.
-
C.
They are complementary.
-
D.
They are congruent.
Solution
In a cyclic quadrilateral, the opposite angles are supplementary, meaning they add up to 180 degrees.
Correct Answer:
B
— They are supplementary.
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Q. In a cyclic quadrilateral, which of the following is true?
-
A.
The opposite angles are supplementary
-
B.
All sides are equal
-
C.
The diagonals are equal
-
D.
It has at least one right angle
Solution
In a cyclic quadrilateral, the opposite angles are supplementary, meaning they add up to 180 degrees.
Correct Answer:
A
— The opposite angles are supplementary
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Q. In a cyclic quadrilateral, which of the following properties holds true?
-
A.
The sum of opposite angles is 180 degrees.
-
B.
All sides are equal.
-
C.
It has at least one right angle.
-
D.
The diagonals are equal.
Solution
In a cyclic quadrilateral, the sum of opposite angles is always 180 degrees.
Correct Answer:
A
— The sum of opposite angles is 180 degrees.
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Q. In a cyclic quadrilateral, which of the following statements is true?
-
A.
The opposite angles are supplementary.
-
B.
All sides are equal.
-
C.
It has at least one right angle.
-
D.
It can only be a square.
Solution
In a cyclic quadrilateral, the opposite angles are supplementary, meaning they add up to 180 degrees.
Correct Answer:
A
— The opposite angles are supplementary.
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Q. In a damped harmonic oscillator, if the amplitude decreases to half its initial value in 4 seconds, what is the damping ratio?
-
A.
0.25
-
B.
0.5
-
C.
0.75
-
D.
1.0
Solution
The damping ratio can be calculated using the logarithmic decrement method, leading to ζ = 0.25.
Correct Answer:
A
— 0.25
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Q. In a damped harmonic oscillator, if the damping coefficient is increased, what happens to the amplitude of oscillation?
-
A.
Increases
-
B.
Decreases
-
C.
Remains the same
-
D.
Becomes zero
Solution
In a damped harmonic oscillator, increasing the damping coefficient results in a decrease in the amplitude of oscillation over time.
Correct Answer:
B
— Decreases
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Q. In a damped harmonic oscillator, if the damping coefficient is increased, what happens to the time period of oscillation?
-
A.
Time period increases
-
B.
Time period decreases
-
C.
Time period remains the same
-
D.
Time period becomes zero
Solution
The time period of a damped harmonic oscillator remains the same; damping affects amplitude, not period.
Correct Answer:
C
— Time period remains the same
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Q. In a damped harmonic oscillator, if the mass is doubled while keeping the damping coefficient constant, what happens to the damping ratio?
-
A.
Doubles
-
B.
Halves
-
C.
Remains the same
-
D.
Increases by a factor of √2
Solution
Damping ratio (ζ) = c / (2√(mk)). If m is doubled, ζ is halved.
Correct Answer:
B
— Halves
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Q. In a damped harmonic oscillator, what effect does increasing the damping coefficient have on the oscillation?
-
A.
Increases amplitude
-
B.
Decreases amplitude
-
C.
Increases frequency
-
D.
Decreases frequency
Solution
Increasing the damping coefficient results in a decrease in amplitude over time, leading to quicker energy loss.
Correct Answer:
B
— Decreases amplitude
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Q. In a damped harmonic oscillator, what happens to the amplitude of oscillation over time?
-
A.
Increases
-
B.
Decreases
-
C.
Remains constant
-
D.
Oscillates
Solution
In a damped harmonic oscillator, the amplitude of oscillation decreases over time due to energy loss.
Correct Answer:
B
— Decreases
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Q. In a damped harmonic oscillator, what happens to the amplitude over time? (2023)
-
A.
Increases
-
B.
Decreases
-
C.
Remains constant
-
D.
Oscillates
Solution
In a damped harmonic oscillator, the amplitude decreases over time due to energy loss.
Correct Answer:
B
— Decreases
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Q. In a damped harmonic oscillator, which factor primarily determines the rate of energy loss?
-
A.
Mass of the oscillator
-
B.
Spring constant
-
C.
Damping coefficient
-
D.
Frequency of oscillation
Solution
The damping coefficient determines how quickly the energy is lost in a damped harmonic oscillator.
Correct Answer:
C
— Damping coefficient
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Q. In a damped harmonic oscillator, which of the following quantities decreases over time?
-
A.
Amplitude
-
B.
Frequency
-
C.
Angular frequency
-
D.
Phase constant
Solution
In a damped harmonic oscillator, the amplitude decreases over time due to the energy lost to damping forces.
Correct Answer:
A
— Amplitude
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Q. In a damped harmonic oscillator, which of the following statements is true?
-
A.
Energy is conserved
-
B.
Amplitude decreases over time
-
C.
Frequency increases over time
-
D.
Phase remains constant
Solution
In a damped harmonic oscillator, the amplitude decreases over time due to the loss of energy.
Correct Answer:
B
— Amplitude decreases over time
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Q. In a damped harmonic oscillator, which parameter is primarily responsible for energy loss?
-
A.
Mass
-
B.
Spring constant
-
C.
Damping coefficient
-
D.
Driving force
Solution
The damping coefficient determines the rate of energy loss in a damped harmonic oscillator.
Correct Answer:
C
— Damping coefficient
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Q. In a damped harmonic oscillator, which parameter primarily determines the rate of energy loss?
-
A.
Mass of the oscillator
-
B.
Spring constant
-
C.
Damping coefficient
-
D.
Driving force
Solution
The damping coefficient determines how quickly energy is lost in a damped harmonic oscillator.
Correct Answer:
C
— Damping coefficient
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Q. In a damped oscillator, if the energy decreases to 25% of its initial value in 10 seconds, what is the damping ratio?
-
A.
0.1
-
B.
0.2
-
C.
0.3
-
D.
0.4
Solution
Using E(t) = E_0 e^(-2ζω_nt), we find ζ = 0.2.
Correct Answer:
B
— 0.2
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