Q. What is the real part of the complex number 7 - 4i? (2023)
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Solution
The real part of the complex number 7 - 4i is 7.
Correct Answer: A — 7
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Q. What is the reduction potential of the half-reaction 2H⁺ + 2e⁻ → H₂?
A.
0.00 V
B.
0.34 V
C.
0.76 V
D.
1.23 V
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Solution
The standard reduction potential for 2H⁺ + 2e⁻ → H₂ is 0.00 V.
Correct Answer: D — 1.23 V
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Q. What is the relationship between charge (Q), capacitance (C), and voltage (V) in a capacitor? (2023)
A.
Q = CV
B.
Q = C/V
C.
Q = V/C
D.
Q = C + V
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Solution
The relationship is given by Q = CV, where Q is the charge, C is the capacitance, and V is the voltage across the capacitor.
Correct Answer: A — Q = CV
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Q. What is the relationship between current (I), charge (Q), and time (t)? (2022)
A.
I = Q × t
B.
I = Q / t
C.
I = t / Q
D.
I = Q + t
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Solution
The relationship is given by I = Q / t, where I is current, Q is charge, and t is time.
Correct Answer: B — I = Q / t
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Q. What is the relationship between current (I), voltage (V), and resistance (R) in a circuit? (2021)
A.
I = V/R
B.
I = R/V
C.
I = V*R
D.
I = V + R
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Solution
The relationship is given by Ohm's law: I = V/R.
Correct Answer: A — I = V/R
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Q. What is the relationship between electric field (E) and electric potential (V) in a uniform field? (2022)
A.
E = V/d
B.
E = d/V
C.
E = V^2
D.
E = V/d^2
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Solution
In a uniform electric field, the electric field E is related to the potential difference V and the distance d by the equation E = V/d.
Correct Answer: A — E = V/d
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Q. What is the relationship between frequency (f) and period (T) of a wave? (2023)
A.
f = T
B.
f = 1/T
C.
f = T^2
D.
f = 2πT
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Solution
The frequency (f) is the reciprocal of the period (T), given by the formula f = 1/T.
Correct Answer: B — f = 1/T
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Q. What is the relationship between frequency and period of a wave? (2020)
A.
Frequency = Period × Speed
B.
Frequency = 1/Period
C.
Frequency = Speed × Wavelength
D.
Frequency = Wavelength/Speed
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Solution
The frequency (f) of a wave is the reciprocal of the period (T), given by the formula f = 1/T.
Correct Answer: B — Frequency = 1/Period
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Q. What is the relationship between Gibbs free energy (ΔG) and cell potential (E) in electrochemistry?
A.
ΔG = -nFE
B.
ΔG = nFE
C.
ΔG = -E/nF
D.
ΔG = E/nF
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Solution
The relationship is ΔG = -nFE, where n is the number of moles of electrons transferred.
Correct Answer: A — ΔG = -nFE
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Q. What is the relationship between pressure and depth in a fluid at rest? (2019)
A.
Pressure increases with depth
B.
Pressure decreases with depth
C.
Pressure remains constant
D.
Pressure varies randomly
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Solution
In a fluid at rest, pressure increases with depth due to the weight of the fluid above.
Correct Answer: A — Pressure increases with depth
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Q. What is the relationship between RMS and average value of an AC waveform? (2023)
A.
RMS = Average
B.
RMS = Average × √2
C.
RMS = Average / √2
D.
RMS = Average × 2
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Solution
For a sinusoidal AC waveform, the RMS value is related to the average value by RMS = Average / √2.
Correct Answer: C — RMS = Average / √2
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Q. What is the relationship between the frequency and the period of a wave? (2021)
A.
Frequency is the square of the period
B.
Period is the reciprocal of frequency
C.
Frequency and period are unrelated
D.
Period is the square root of frequency
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Solution
The period T is the reciprocal of frequency f, given by T = 1/f.
Correct Answer: B — Period is the reciprocal of frequency
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Q. What is the relationship between the number of turns in the primary and secondary coils of a transformer and the voltages across them? (2023)
A.
V_p/V_s = N_p/N_s
B.
V_p/V_s = N_s/N_p
C.
V_p = V_s
D.
V_p + V_s = 0
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Solution
The relationship is given by V_p/V_s = N_p/N_s, where V is voltage and N is the number of turns.
Correct Answer: A — V_p/V_s = N_p/N_s
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Q. What is the relationship between the rate of a reaction and the concentration of reactants according to the rate law? (2019)
A.
Directly proportional
B.
Inversely proportional
C.
Exponential
D.
No relationship
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Solution
The rate of a reaction is directly proportional to the concentration of reactants raised to their respective powers in the rate law.
Correct Answer: A — Directly proportional
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Q. What is the relationship between the rate of reaction and temperature according to the Arrhenius equation? (2022)
A.
Inversely proportional
B.
Directly proportional
C.
Exponential
D.
Linear
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Solution
According to the Arrhenius equation, the rate of reaction increases exponentially with temperature.
Correct Answer: C — Exponential
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Q. What is the relationship between the RMS and average value of a sinusoidal AC current? (2023)
A.
RMS = Average
B.
RMS = Average × √2
C.
RMS = Average / √2
D.
RMS = Average × 2
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Solution
For a sinusoidal AC current, the relationship is RMS = Average / √2.
Correct Answer: C — RMS = Average / √2
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Q. What is the relationship between the units of energy (Joule) and force (Newton)? (2021)
A.
1 J = 1 N·m
B.
1 J = 1 N/m
C.
1 J = 1 m/N
D.
1 J = 1 N^2
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Solution
1 Joule is defined as the work done when a force of one Newton moves an object one meter, hence 1 J = 1 N·m.
Correct Answer: A — 1 J = 1 N·m
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Q. What is the relationship between the units of pressure in SI? (2019)
A.
1 Pa = 1 N/m²
B.
1 Pa = 1 kg/m·s²
C.
Both are correct
D.
None of the above
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Solution
Both statements are correct; 1 Pascal (Pa) is defined as 1 Newton per square meter.
Correct Answer: C — Both are correct
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Q. What is the relationship between the wavelength of light and the angle of diffraction in a single-slit experiment? (2023)
A.
Directly proportional
B.
Inversely proportional
C.
No relationship
D.
Exponential relationship
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Solution
The angle of diffraction is inversely proportional to the wavelength; as the wavelength increases, the angle of diffraction decreases.
Correct Answer: B — Inversely proportional
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Q. What is the relationship between the wavelength of light and the angle of diffraction in a grating? (2023)
A.
Directly proportional
B.
Inversely proportional
C.
No relationship
D.
Exponential relationship
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Solution
The angle of diffraction is directly proportional to the wavelength of light used in a diffraction grating, as described by the grating equation.
Correct Answer: A — Directly proportional
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Q. What is the relationship between voltage, current, and resistance as described by Ohm's Law? (2021)
A.
V = I + R
B.
V = I * R
C.
V = I / R
D.
V = R / I
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Solution
Ohm's Law states that the voltage (V) across a conductor is directly proportional to the current (I) flowing through it, with the resistance (R) being the constant of proportionality. Therefore, V = I * R.
Correct Answer: B — V = I * R
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Q. What is the relationship between voltage, current, and resistance as stated by Ohm's Law? (2021)
A.
V = I + R
B.
V = I * R
C.
V = I / R
D.
V = R / I
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Solution
Ohm's Law states that the voltage (V) across a conductor is directly proportional to the current (I) flowing through it, with the resistance (R) being the constant of proportionality. Therefore, V = I * R.
Correct Answer: B — V = I * R
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Q. What is the repeating unit of polystyrene? (2021)
A.
-CH2-CH2-
B.
-CH=CH2-
C.
-C6H5-
D.
-C3H6-
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Solution
The repeating unit of polystyrene is derived from the monomer styrene, which has the structure -CH=CH2-.
Correct Answer: B — -CH=CH2-
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Q. What is the resistance of a circuit if a current of 5A flows through it when a voltage of 25V is applied? (2022)
A.
5Ω
B.
10Ω
C.
15Ω
D.
20Ω
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Solution
Using Ohm's law (R = V/I), R = 25V / 5A = 5Ω.
Correct Answer: B — 10Ω
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Q. What is the resting membrane potential of a typical neuron? (2020)
A.
-70 mV
B.
-50 mV
C.
0 mV
D.
+30 mV
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Solution
The resting membrane potential of a typical neuron is approximately -70 mV.
Correct Answer: A — -70 mV
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Q. What is the result of (15 + 5) × 2? (2020)
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Solution
(15 + 5) = 20, then 20 × 2 = 40.
Correct Answer: B — 30
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Q. What is the result of (15 + 5) × 2? (2023) 2023
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Solution
(15 + 5) = 20, so 20 × 2 = 40.
Correct Answer: A — 30
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Q. What is the result of (15 ÷ 3) × 4? (2020)
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Solution
15 ÷ 3 = 5, then 5 × 4 = 20.
Correct Answer: A — 20
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Q. What is the result of cytokinesis in animal cells? (2020)
A.
Formation of a cell plate
B.
Formation of two daughter cells
C.
Replication of DNA
D.
Separation of sister chromatids
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Solution
Cytokinesis results in the physical separation of the cytoplasm, leading to the formation of two daughter cells.
Correct Answer: B — Formation of two daughter cells
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Q. What is the role of a capacitor in a semiconductor circuit? (2019)
A.
To store charge
B.
To amplify signals
C.
To rectify current
D.
To generate heat
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Solution
A capacitor is used in semiconductor circuits to store charge temporarily.
Correct Answer: A — To store charge
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