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
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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 magnetic force on a charged particle moving in a magnetic field?
A.
F = qE
B.
F = qvBsinθ
C.
F = mv^2/r
D.
F = qvE
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Solution
The magnetic force on a charged particle is given by F = qvBsinθ, where q is the charge, v is the velocity, B is the magnetic field, and θ is the angle between v and B.
Correct Answer: B — F = qvBsinθ
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Q. What is the formula for calculating the normality of a solution?
A.
N = M x n
B.
N = M / n
C.
N = M + n
D.
N = M - n
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Solution
Normality (N) is calculated as the molarity (M) multiplied by the number of equivalents (n).
Correct Answer: A — N = M x n
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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
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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
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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
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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
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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?
A.
Moles = Mass / Volume
B.
Moles = Mass x Volume
C.
Moles = Mass / Molar Mass
D.
Moles = Molar Mass / Mass
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Solution
The number of moles is calculated using the formula: Moles = Mass / Molar Mass.
Correct Answer: C — Moles = Mass / Molar Mass
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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
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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 potential energy of an object at height h?
A.
PE = mgh
B.
PE = 1/2 mv²
C.
PE = mv²
D.
PE = mgh²
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Solution
The potential energy of an object at height h is calculated using the formula PE = mgh, where m is mass, g is gravitational acceleration, and h is height.
Correct Answer: A — PE = mgh
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Q. What is the formula for calculating the power consumed in an electrical circuit?
A.
P = IV
B.
P = I/R
C.
P = V/R
D.
P = IR
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Solution
The power consumed in an electrical circuit is given by the formula P = IV, where P is power, I is current, and V is voltage.
Correct Answer: A — P = IV
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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
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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 the total power in a series RLC circuit?
A.
P = VI
B.
P = I^2R
C.
P = V^2/R
D.
P = VI cos(φ)
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Solution
The total power in a series RLC circuit is given by P = VI cos(φ), where φ is the phase angle.
Correct Answer: D — P = VI cos(φ)
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Q. What is the formula for calculating the total power in an AC circuit with a power factor?
A.
P = VI
B.
P = VI cos(φ)
C.
P = VI sin(φ)
D.
P = V^2/R
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Solution
The total power 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 calculating the work done by a force?
A.
W = Fd
B.
W = F/v
C.
W = F/t
D.
W = mv
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Solution
The work done by a force is calculated using the formula W = Fd, where F is the force and d is the distance moved in the direction of the force.
Correct Answer: A — W = Fd
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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
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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 gravitational potential energy?
A.
PE = mgh
B.
PE = 1/2 mv²
C.
PE = mv
D.
PE = mgh²
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Solution
Gravitational potential energy is calculated using the formula PE = mgh, where m is mass, g is acceleration due to gravity, and h is height.
Correct Answer: A — PE = mgh
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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
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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 angular position of the first minimum in a double-slit diffraction pattern?
A.
d sin(θ) = mλ
B.
d sin(θ) = (m + 1/2)λ
C.
d sin(θ) = (m - 1/2)λ
D.
d sin(θ) = 2mλ
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Solution
The angular position of the first minimum in a double-slit diffraction pattern is given by d sin(θ) = mλ, where m = 1 for the first minimum.
Correct Answer: A — d sin(θ) = mλ
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Q. What is the formula for the angular position of the m-th order maximum in a double-slit experiment?
A.
d sin θ = mλ
B.
d cos θ = mλ
C.
d tan θ = mλ
D.
d = mλ/sin θ
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Solution
The correct formula for the angular position of the m-th order maximum is d sin θ = mλ.
Correct Answer: A — d sin θ = mλ
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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
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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
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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 capacitance of a parallel plate capacitor?
A.
C = εA/d
B.
C = A/εd
C.
C = d/εA
D.
C = εd/A
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Solution
The capacitance C of a parallel plate capacitor is given by the formula C = εA/d, where ε is the permittivity, A is the area of the plates, and d is the separation between them.
Correct Answer: A — C = εA/d
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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-
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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 complex formed when silver ion reacts with ammonia?
A.
Ag(NH3)2+
B.
Ag(NH3)2Cl
C.
Ag(NH3)3+
D.
Ag(NH3)4+
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Solution
The complex formed is Ag(NH3)2+, which is known as the diamminesilver(I) ion.
Correct Answer: A — Ag(NH3)2+
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Q. What is the formula for the equivalent resistance in a balanced Wheatstone bridge?
A.
R_eq = (P + Q)
B.
C.
(R + S)
D.
R_eq = P + Q + R + S
.
R_eq = P
.
.
Q + R
.
.
S
.
R_eq = (P*R)/(Q + S)
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Solution
The equivalent resistance in a balanced Wheatstone bridge can be calculated using the parallel formula.
Correct Answer: A — R_eq = (P + Q)
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Q. What is the formula for the equivalent resistance of two resistors R1 and R2 in series?
A.
R_eq = R1 + R2
B.
R_eq = R1 * R2 / (R1 + R2)
C.
R_eq = R1 - R2
D.
R_eq = R1 / R2
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Solution
The equivalent resistance of two resistors in series is simply the sum of their resistances: R_eq = R1 + R2.
Correct Answer: A — R_eq = R1 + R2
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Q. What is the formula for the equivalent resistance of two resistors R1 and R2 in series in a Wheatstone bridge?
A.
R1 + R2
B.
R1 * R2 / (R1 + R2)
C.
R1 - R2
D.
1/(1/R1 + 1/R2)
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Solution
The equivalent resistance of two resistors in series is simply the sum of their resistances: R1 + R2.
Correct Answer: A — R1 + R2
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Q. What is the formula for the force experienced by a charged particle moving in a magnetic field?
A.
F = qvB sin(θ)
B.
F = qvB cos(θ)
C.
F = qB
D.
F = qE
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Solution
The force on a charged particle moving in a magnetic field is given by F = qvB sin(θ), where θ is the angle between the velocity and the magnetic field.
Correct Answer: A — F = qvB sin(θ)
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Q. What is the formula for the fringe separation in a double-slit experiment?
A.
λD/d
B.
d/λD
C.
D/λd
D.
λd/D
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Solution
The fringe separation (β) is given by the formula β = λD/d, where λ is the wavelength, D is the distance to the screen, and d is the distance between the slits.
Correct Answer: A — λD/d
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