Q. In a forced oscillation system, what is the effect of increasing the amplitude of the driving force?
A.
Decreases the amplitude of oscillation
B.
Increases the amplitude of oscillation
C.
Has no effect on amplitude
D.
Causes the system to stop oscillating
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Solution
Increasing the amplitude of the driving force generally increases the amplitude of the oscillation in a forced system.
Correct Answer: B — Increases the amplitude of oscillation
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Q. In a forced oscillation, if the amplitude is doubled while keeping the driving frequency constant, what happens to the energy of the system?
A.
Increases by 2 times
B.
Increases by 4 times
C.
Remains the same
D.
Decreases
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Solution
Energy is proportional to the square of the amplitude, so if amplitude is doubled, energy increases by 2^2 = 4 times.
Correct Answer: B — Increases by 4 times
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Q. In a forced oscillation, if the amplitude is maximum, what can be said about the relationship between the driving frequency and the natural frequency?
A.
Driving frequency is less
B.
Driving frequency is equal
C.
Driving frequency is greater
D.
Driving frequency is unpredictable
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Solution
Maximum amplitude occurs when the driving frequency is equal to the natural frequency.
Correct Answer: B — Driving frequency is equal
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Q. In a forced oscillation, if the amplitude of the oscillation is directly proportional to the driving force, what is the relationship called?
A.
Hooke's Law
B.
Newton's Law
C.
Resonance
D.
Steady state
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Solution
In forced oscillations, the amplitude is directly proportional to the driving force in the steady state.
Correct Answer: D — Steady state
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Q. In a forced oscillation, the driving frequency is 2 Hz and the natural frequency of the system is 1.5 Hz. What is the ratio of the driving frequency to the natural frequency?
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Solution
Ratio = driving frequency / natural frequency = 2 / 1.5 = 1.33
Correct Answer: C — 1.33
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Q. In a forced oscillation, what happens when the driving frequency matches the natural frequency of the system?
A.
The system oscillates with minimum amplitude
B.
The system oscillates with maximum amplitude
C.
The system stops oscillating
D.
The system oscillates at a different frequency
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Solution
When the driving frequency matches the natural frequency, resonance occurs, leading to maximum amplitude.
Correct Answer: B — The system oscillates with maximum amplitude
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Q. In a forced oscillation, what happens when the driving frequency matches the natural frequency?
A.
The system oscillates with minimum amplitude
B.
The system oscillates with maximum amplitude
C.
The system stops oscillating
D.
The system oscillates at a different frequency
Show solution
Solution
When the driving frequency matches the natural frequency, resonance occurs, leading to maximum amplitude.
Correct Answer: B — The system oscillates with maximum amplitude
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Q. In a forced oscillation, what is the effect of increasing the amplitude of the driving force?
A.
Decreases the amplitude of oscillation
B.
Increases the amplitude of oscillation
C.
Has no effect on amplitude
D.
Causes the system to stop oscillating
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Solution
Increasing the amplitude of the driving force generally increases the amplitude of the forced oscillation.
Correct Answer: B — Increases the amplitude of oscillation
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Q. In a forced oscillation, what is the effect of resonance?
A.
Amplitude decreases
B.
Amplitude increases significantly
C.
Frequency decreases
D.
Phase difference becomes zero
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Solution
At resonance, the driving frequency matches the natural frequency of the system, leading to a significant increase in amplitude.
Correct Answer: B — Amplitude increases significantly
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Q. In a forced oscillation, what is the term for the maximum amplitude achieved at resonance?
A.
Resonance peak
B.
Damping peak
C.
Natural frequency
D.
Driving frequency
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Solution
The maximum amplitude achieved at resonance is referred to as the resonance peak.
Correct Answer: A — Resonance peak
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Q. In a frequency distribution, if the class intervals are 0-10, 10-20, 20-30 and their frequencies are 5, 10, 15, what is the mode?
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Solution
Mode is the class with the highest frequency, which is 20-30.
Correct Answer: B — 20
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Q. In a frequency distribution, if the class intervals are 0-10, 10-20, 20-30 and their frequencies are 5, 10, 15 respectively, what is the mode?
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Solution
The modal class is 20-30 as it has the highest frequency (15).
Correct Answer: C — 20
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Q. In a frequency distribution, if the class intervals are 0-10, 10-20, 20-30, and the frequencies are 5, 10, 15 respectively, what is the mode?
A.
10
B.
20
C.
30
D.
None of the above
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Solution
The modal class is 20-30 since it has the highest frequency.
Correct Answer: B — 20
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Q. In a frequency distribution, if the class intervals are 0-10, 10-20, and 20-30 with frequencies 5, 10, and 15 respectively, what is the mode?
A.
10
B.
20
C.
30
D.
No mode
Show solution
Solution
The modal class is 20-30 since it has the highest frequency (15).
Correct Answer: B — 20
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Q. In a frequency distribution, if the mode is 10 and appears 15 times, what can be said about the data?
A.
It is uniform
B.
It is bimodal
C.
It is unimodal
D.
It is multimodal
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Solution
Since there is one mode (10), the data is unimodal.
Correct Answer: C — It is unimodal
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Q. In a frequency distribution, if the mode is 10 and the highest frequency is 15, what can be said about the data?
A.
It is uniform
B.
It is bimodal
C.
It is unimodal
D.
It is multimodal
Show solution
Solution
Since there is one mode (10), the data is unimodal.
Correct Answer: C — It is unimodal
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Q. In a frequency distribution, if the mode is 10 and the highest frequency is 5, what can be said about the data?
A.
It is uniform
B.
It is bimodal
C.
It is unimodal
D.
It is multimodal
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Solution
Since there is one mode (10), the data is unimodal.
Correct Answer: C — It is unimodal
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Q. In a frequency distribution, if the mode is 12 and the frequency of 12 is 10, what can be inferred about the data?
A.
Data is uniform
B.
Data is skewed
C.
Data has multiple modes
D.
Data is bimodal
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Solution
A single mode indicates that the data is likely skewed.
Correct Answer: B — Data is skewed
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Q. In a galvanic cell, the anode is where:
A.
Reduction occurs
B.
Oxidation occurs
C.
Electrons are gained
D.
The salt bridge is located
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Solution
In a galvanic cell, oxidation occurs at the anode.
Correct Answer: B — Oxidation occurs
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Q. In a galvanic cell, which electrode undergoes reduction?
A.
Anode
B.
Cathode
C.
Salt bridge
D.
Electrolyte
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Solution
In a galvanic cell, reduction occurs at the cathode.
Correct Answer: B — Cathode
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Q. In a gas mixture, the total pressure is equal to the sum of the partial pressures of the individual gases. This is known as:
A.
Dalton's Law
B.
Boyle's Law
C.
Charles's Law
D.
Ideal Gas Law
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Solution
This principle is known as Dalton's Law of Partial Pressures.
Correct Answer: A — Dalton's Law
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Q. In a gas mixture, what is the partial pressure of a gas?
A.
Total pressure of the mixture
B.
Pressure exerted by the gas alone
C.
Pressure exerted by all gases
D.
Pressure at absolute zero
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Solution
The partial pressure of a gas in a mixture is the pressure that gas would exert if it occupied the entire volume alone.
Correct Answer: B — Pressure exerted by the gas alone
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Q. In a gas mixture, which law can be used to find the total pressure exerted by the gases?
A.
Dalton's Law of Partial Pressures
B.
Boyle's Law
C.
Charles's Law
D.
Ideal Gas Law
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Solution
Dalton's Law of Partial Pressures states that the total pressure exerted by a mixture of gases is equal to the sum of the partial pressures of each gas.
Correct Answer: A — Dalton's Law of Partial Pressures
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Q. In a gas, if the volume is halved while keeping the temperature constant, what happens to the pressure?
A.
It remains the same.
B.
It doubles.
C.
It halves.
D.
It quadruples.
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Solution
According to Boyle's Law, if the volume is halved while keeping the temperature constant, the pressure doubles.
Correct Answer: B — It doubles.
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Q. In a gas, the distribution of molecular speeds is described by which law?
A.
Maxwell-Boltzmann distribution
B.
Bernoulli's principle
C.
Boyle's law
D.
Charles's law
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Solution
The distribution of molecular speeds in a gas is described by the Maxwell-Boltzmann distribution.
Correct Answer: A — Maxwell-Boltzmann distribution
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Q. In a gas, the mean free path is defined as the average distance traveled by a molecule between collisions. Which factor does NOT affect the mean free path?
A.
Temperature
B.
Pressure
C.
Molecular diameter
D.
Color of the gas
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Solution
The mean free path is affected by temperature, pressure, and molecular diameter, but not by the color of the gas.
Correct Answer: D — Color of the gas
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Q. In a generator, if the speed of rotation is doubled, what happens to the induced EMF?
A.
It doubles
B.
It halves
C.
It remains the same
D.
It becomes zero
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Solution
The induced EMF in a generator is directly proportional to the speed of rotation. Therefore, if the speed is doubled, the induced EMF also doubles.
Correct Answer: A — It doubles
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Q. In a generator, mechanical energy is converted into electrical energy through the principle of:
A.
Electrostatics
B.
Electromagnetic induction
C.
Thermodynamics
D.
Optics
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Solution
In a generator, mechanical energy is converted into electrical energy through the principle of electromagnetic induction, as the motion of conductors in a magnetic field induces an EMF.
Correct Answer: B — Electromagnetic induction
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Q. In a generator, mechanical energy is converted into electrical energy through which process?
A.
Electromagnetic induction
B.
Thermal conduction
C.
Photoelectric effect
D.
Electrolysis
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Solution
In a generator, mechanical energy is converted into electrical energy through the process of electromagnetic induction.
Correct Answer: A — Electromagnetic induction
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Q. In a generator, mechanical energy is converted into electrical energy through which principle?
A.
Electromagnetic induction
B.
Thermal conduction
C.
Photoelectric effect
D.
Capacitance
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Solution
In a generator, mechanical energy is converted into electrical energy through the principle of electromagnetic induction.
Correct Answer: A — Electromagnetic induction
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