Q. What is the formula for calculating the induced EMF in a coil? (2023)
-
A.
E = -dΦ/dt
-
B.
E = R * I
-
C.
E = V * I
-
D.
E = L * di/dt
Solution
The induced EMF in a coil is given by the formula E = -dΦ/dt, where Φ is the magnetic flux.
Correct Answer:
A
— E = -dΦ/dt
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Q. What is the formula for calculating the number of atoms in a face-centered cubic unit cell? (2022)
-
A.
N = 4
-
B.
N = 2
-
C.
N = 1
-
D.
N = 8
Solution
In a face-centered cubic unit cell, there are 4 atoms (1/8 from each of the 8 corners and 1/2 from each of the 6 faces).
Correct Answer:
A
— N = 4
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Q. What is the formula for calculating the number of moles from mass and molar mass? (2023)
-
A.
moles = mass × molar mass
-
B.
moles = mass / molar mass
-
C.
moles = molar mass / mass
-
D.
moles = mass + molar mass
Solution
The correct formula is moles = mass / molar mass.
Correct Answer:
B
— moles = mass / molar mass
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Q. What is the formula for calculating the number of moles from mass? (2023)
-
A.
moles = mass / molar mass
-
B.
moles = mass × molar mass
-
C.
moles = mass + molar mass
-
D.
moles = mass - molar mass
Solution
The formula for calculating the number of moles is moles = mass / molar mass.
Correct Answer:
A
— moles = mass / molar mass
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Q. What is the formula for calculating the number of moles of solute in a solution? (2023)
-
A.
Molarity x Volume
-
B.
Molarity / Volume
-
C.
Volume / Molarity
-
D.
Moles x Volume
Solution
Number of moles = Molarity x Volume (in liters).
Correct Answer:
A
— Molarity x Volume
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Q. What is the formula for calculating the number of moles? (2023) 2023
-
A.
Mass/Volume
-
B.
Mass/Molar Mass
-
C.
Volume/Mass
-
D.
Molar Mass/Volume
Solution
The number of moles is calculated using the formula: Moles = Mass / Molar Mass.
Correct Answer:
B
— Mass/Molar Mass
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Q. What is the formula for calculating the total current in a parallel RLC circuit? (2023)
-
A.
I = V/R
-
B.
I = V/(1/R + 1/X)
-
C.
I = V/(R + X)
-
D.
I = V/R + V/X
Solution
In a parallel RLC circuit, the total current is calculated using I = V/(1/R + 1/X), where X is the total reactance.
Correct Answer:
B
— I = V/(1/R + 1/X)
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Q. What is the formula for calculating work done? (2023)
-
A.
W = Fd cos(θ)
-
B.
W = Fd sin(θ)
-
C.
W = F + d
-
D.
W = F/d
Solution
The formula for work done (W) is W = Fd cos(θ), where F is the force, d is the displacement, and θ is the angle between the force and displacement.
Correct Answer:
A
— W = Fd cos(θ)
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Q. What is the formula for kinetic energy? (2023)
-
A.
KE = mv²
-
B.
KE = 1/2 mv²
-
C.
KE = mgh
-
D.
KE = Fd
Solution
The formula for kinetic energy (KE) is KE = 1/2 mv², where m is mass and v is velocity.
Correct Answer:
B
— KE = 1/2 mv²
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Q. What is the formula for the average power consumed in an AC circuit with a phase angle φ? (2020)
-
A.
P = VI
-
B.
P = VI cos(φ)
-
C.
P = VI sin(φ)
-
D.
P = V²/R
Solution
The average power P in an AC circuit is given by P = VI cos(φ), where φ is the phase angle.
Correct Answer:
B
— P = VI cos(φ)
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Q. What is the formula for the average power consumed in an AC circuit with a resistor? (2019)
-
A.
P = VI
-
B.
P = V²/R
-
C.
P = I²R
-
D.
All of the above
Solution
The average power consumed in an AC circuit can be expressed as P = VI, P = V²/R, and P = I²R.
Correct Answer:
D
— All of the above
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Q. What is the formula for the complex formed between iron(III) and thiocyanate? (2021)
-
A.
[Fe(SCN)3]
-
B.
[Fe(SCN)2]
-
C.
[Fe(SCN)6]3+
-
D.
[Fe(SCN)4]2-
Solution
The complex formed is [Fe(SCN)3] as iron(III) can bond with three thiocyanate ions.
Correct Answer:
A
— [Fe(SCN)3]
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Q. What is the formula for the inductive reactance (X_L) in an AC circuit? (2022)
-
A.
X_L = 2πfL
-
B.
X_L = R/L
-
C.
X_L = 1/(2πfC)
-
D.
X_L = V/I
Solution
The formula for inductive reactance is X_L = 2πfL, where f is the frequency and L is the inductance.
Correct Answer:
A
— X_L = 2πfL
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Q. What is the formula for the magnetic field at the center of a circular loop of radius r carrying a current I? (2023)
-
A.
B = μ₀I/2r
-
B.
B = μ₀I/r
-
C.
B = μ₀I/4r
-
D.
B = μ₀I/πr
Solution
The magnetic field (B) at the center of a circular loop is given by B = μ₀I/2r.
Correct Answer:
A
— B = μ₀I/2r
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Q. What is the formula for the resonant frequency of an RLC circuit? (2021)
-
A.
f = 1/(2π√(LC))
-
B.
f = R/(2πL)
-
C.
f = 1/(2πRC)
-
D.
f = 2π√(LC)
Solution
The resonant frequency f of an RLC circuit is given by f = 1/(2π√(LC)).
Correct Answer:
A
— f = 1/(2π√(LC))
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Q. What is the formula for the total impedance in a parallel RLC circuit? (2023)
-
A.
1/Z = 1/Z1 + 1/Z2 + 1/Z3
-
B.
Z = R + jX
-
C.
Z = R
-
D.
-
.
X
-
.
Z = R + jωL - j/(ωC)
Solution
The total impedance in a parallel circuit is given by 1/Z = 1/Z1 + 1/Z2 + 1/Z3.
Correct Answer:
A
— 1/Z = 1/Z1 + 1/Z2 + 1/Z3
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Q. What is the formula for the total impedance in a series RLC circuit? (2023)
-
A.
Z = R + j(XL - XC)
-
B.
Z = R + jXL + jXC
-
C.
Z = R + jωL
-
D.
Z = R + jωC
Solution
The total impedance in a series RLC circuit is given by Z = R + j(XL - XC).
Correct Answer:
A
— Z = R + j(XL - XC)
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Q. What is the freezing point depression of a solution containing 1 mol of NaCl in 1 kg of water? (Kf for water = 1.86 °C kg/mol) (2023)
-
A.
1.86 °C
-
B.
3.72 °C
-
C.
2.00 °C
-
D.
0.93 °C
Solution
Freezing point depression (ΔTf) = i * Kf * m. For NaCl, i = 2 (dissociates into Na+ and Cl-). m = 1 mol/kg. ΔTf = 2 * 1.86 °C kg/mol * 1 = 3.72 °C.
Correct Answer:
B
— 3.72 °C
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Q. What is the freezing point depression of a solution containing 1 mole of NaCl in 1 kg of water? (2022)
-
A.
1.86 °C
-
B.
3.72 °C
-
C.
2.52 °C
-
D.
0.93 °C
Solution
Freezing point depression = i * Kf * m = 2 * 1.86 * 1 = 3.72 °C (i = 2 for NaCl).
Correct Answer:
A
— 1.86 °C
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Q. What is the freezing point depression of a solution containing 1 mole of solute in 1 kg of water? (Kf for water = 1.86 °C kg/mol) (2020)
-
A.
1.86 °C
-
B.
3.72 °C
-
C.
0.93 °C
-
D.
2.78 °C
Solution
Freezing point depression = Kf * m = 1.86 °C kg/mol * 1 mol/kg = 1.86 °C.
Correct Answer:
A
— 1.86 °C
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Q. What is the freezing point depression of a solution containing 3 moles of KCl in 1 kg of water? (Kf for water = 1.86 °C kg/mol) (2022)
-
A.
5.58 °C
-
B.
3.72 °C
-
C.
1.86 °C
-
D.
7.44 °C
Solution
Freezing point depression = i * Kf * m = 3 * 1.86 * 3 = 5.58 °C (i = 2 for KCl).
Correct Answer:
A
— 5.58 °C
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Q. What is the frequency of a pendulum that completes 30 oscillations in 60 seconds? (2017)
-
A.
0.5 Hz
-
B.
1 Hz
-
C.
2 Hz
-
D.
3 Hz
Solution
Frequency f = number of oscillations / time = 30 / 60 = 0.5 Hz.
Correct Answer:
B
— 1 Hz
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Q. What is the frequency of a sound wave with a period of 0.01 seconds? (2014)
-
A.
100 Hz
-
B.
200 Hz
-
C.
50 Hz
-
D.
10 Hz
Solution
Frequency = 1/Period = 1/0.01 s = 100 Hz.
Correct Answer:
A
— 100 Hz
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Q. What is the frequency of a tuning fork that vibrates 256 times in 2 seconds? (2019)
-
A.
128 Hz
-
B.
256 Hz
-
C.
512 Hz
-
D.
64 Hz
Solution
Frequency (f) = Number of vibrations / Time = 256 / 2 = 128 Hz.
Correct Answer:
A
— 128 Hz
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Q. What is the frequency of a wave if its wavelength is 2 meters and its speed is 340 m/s? (2021)
-
A.
170 Hz
-
B.
340 Hz
-
C.
68 Hz
-
D.
85 Hz
Solution
Frequency (f) can be calculated using the formula f = v/λ. Here, f = 340 m/s / 2 m = 170 Hz.
Correct Answer:
A
— 170 Hz
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Q. What is the frequency of a wave if its wavelength is 2 meters and the speed of the wave is 10 m/s? (2022)
-
A.
2 Hz
-
B.
5 Hz
-
C.
10 Hz
-
D.
20 Hz
Solution
Frequency (f) can be calculated using the formula f = v/λ. Here, f = 10 m/s / 2 m = 5 Hz.
Correct Answer:
B
— 5 Hz
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Q. What is the frequency of a wave if its wavelength is 2 meters and the speed of the wave is 340 m/s? (2020)
-
A.
170 Hz
-
B.
340 Hz
-
C.
85 Hz
-
D.
420 Hz
Solution
Frequency (f) can be calculated using the formula f = v/λ. Here, f = 340 m/s / 2 m = 170 Hz.
Correct Answer:
A
— 170 Hz
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Q. What is the frequency of a wave with a period of 0.01 s? (2020)
-
A.
100 Hz
-
B.
50 Hz
-
C.
200 Hz
-
D.
10 Hz
Solution
Frequency f = 1/T = 1/0.01 s = 100 Hz.
Correct Answer:
A
— 100 Hz
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Q. What is the frequency of a wave with a period of 0.1 s? (2020)
-
A.
10 Hz
-
B.
5 Hz
-
C.
20 Hz
-
D.
15 Hz
Solution
Frequency f = 1/T = 1/0.1 s = 10 Hz.
Correct Answer:
A
— 10 Hz
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Q. What is the frequency of a wave with a period of 0.2 seconds?
-
A.
5 Hz
-
B.
10 Hz
-
C.
20 Hz
-
D.
50 Hz
Solution
Frequency (f) is the reciprocal of the period (T). Therefore, f = 1/T = 1/0.2 s = 5 Hz.
Correct Answer:
B
— 10 Hz
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