Q. What is the force on a charge q moving with velocity v in a magnetic field B?
A.
qvB
B.
qvBsinθ
C.
qvBcosθ
D.
qB
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Solution
The force on a charge moving in a magnetic field is given by F = qvBsinθ, where θ is the angle between v and B.
Correct Answer: B — qvBsinθ
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Q. What is the force required to keep a 15 kg object moving at a constant velocity?
A.
0 N
B.
15 N
C.
150 N
D.
None of the above
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Solution
According to Newton's first law, no net force is required to maintain constant velocity.
Correct Answer: A — 0 N
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Q. What is the formula for calculating boiling point elevation?
A.
ΔT_b = K_b * m
B.
ΔT_b = K_f * m
C.
ΔT_b = i * K_b * m
D.
ΔT_b = i * K_f * m
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Solution
The boiling point elevation is calculated using the formula ΔT_b = i * K_b * m, where i is the van 't Hoff factor.
Correct Answer: C — ΔT_b = i * K_b * m
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Q. What is the formula for calculating kinetic energy?
A.
KE = mv²
B.
KE = 1/2 mv²
C.
KE = mgh
D.
KE = 1/2 mgh
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Solution
The formula for calculating kinetic energy 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 calculating the depression of freezing point?
A.
ΔTf = Kf * m
B.
ΔTf = Kb * m
C.
ΔTf = R * T
D.
ΔTf = P * V
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Solution
The depression of freezing point is calculated using the formula ΔTf = Kf * m, where Kf is the freezing point depression constant and m is the molality of the solution.
Correct Answer: A — ΔTf = Kf * m
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Q. What is the formula for calculating the frequency of a wave?
A.
f = 1/T
B.
f = λ/T
C.
f = v/λ
D.
f = vT
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Solution
The frequency of a wave is calculated using the formula f = 1/T, where T is the period of the wave.
Correct Answer: A — f = 1/T
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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 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 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 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 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 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 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
Show solution
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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Q. What is the formula for the fringe width in a double-slit experiment?
A.
λD/d
B.
d/λD
C.
D/λd
D.
λd/D
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Solution
The fringe width (β) is given by the formula β = λD/d, where D is the distance from the slits to the screen and d is the distance between the slits.
Correct Answer: A — λD/d
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Q. What is the formula for the magnetic field (B) inside a solenoid?
A.
B = μ₀(nI)
B.
B = μ₀I
C.
B = μ₀(nI)/L
D.
B = μ₀I²
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Solution
The magnetic field inside a solenoid is given by B = μ₀(nI), where n is the number of turns per unit length.
Correct Answer: A — B = μ₀(nI)
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Q. What is the formula for the magnetic force experienced by a charged particle moving in a magnetic field?
A.
F = qE
B.
F = qvBsin(θ)
C.
F = mv^2/r
D.
F = BIL
Show solution
Solution
The magnetic force on a charged particle is given by F = qvBsin(θ), where q is the charge, v is the velocity, B is the magnetic field strength, and θ is the angle between the velocity and the magnetic field.
Correct Answer: B — F = qvBsin(θ)
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Q. What is the formula for the magnetic force on a charge q moving with velocity v in a magnetic field B?
A.
F = qvB
B.
F = qvBsinθ
C.
F = qB
D.
F = qvBcosθ
Show solution
Solution
The magnetic force on a charge moving in a magnetic field is given by F = qvBsinθ, where θ is the angle between v and B.
Correct Answer: B — F = qvBsinθ
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Q. What is the formula for 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
Show solution
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 strength, and θ is the angle between v and B.
Correct Answer: B — F = qvBsinθ
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Q. What is the formula for the modulus of resilience?
A.
U = 1/2 * σ * ε
B.
U = σ * ε
C.
U = 1/2 * ε^2
D.
U = σ^2 / 2
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Solution
The modulus of resilience is given by U = 1/2 * σ * ε, where σ is the yield stress and ε is the yield strain.
Correct Answer: A — U = 1/2 * σ * ε
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Q. What is the formula for 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 Young's modulus?
A.
Stress/Strain
B.
Strain/Stress
C.
Force/Area
D.
Area/Force
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Solution
Young's modulus (E) is defined as the ratio of stress to strain.
Correct Answer: A — Stress/Strain
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Q. What is the formula of the compound formed between magnesium and chlorine?
A.
MgCl
B.
MgCl2
C.
Mg2Cl
D.
Mg2Cl2
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Solution
The formula of the compound formed between magnesium and chlorine is MgCl2.
Correct Answer: B — MgCl2
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