Physics Syllabus (JEE Main)
Q. What is the relationship between current and magnetic field in a long straight conductor?
A.
Directly proportional
B.
Inversely proportional
C.
Independent
D.
Exponential
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Solution
The magnetic field around a long straight conductor is directly proportional to the current flowing through it.
Correct Answer: A — Directly proportional
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Q. What is the relationship between current, voltage, and resistance in an electrical circuit?
A.
Ohm's Law
B.
Kirchhoff's Law
C.
Faraday's Law
D.
Ampere's Law
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Solution
Ohm's Law defines the relationship between current (I), voltage (V), and resistance (R) as V = IR.
Correct Answer: A — Ohm's Law
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Q. What is the relationship between electric field and electric potential?
A.
E = -dV/dr
B.
E = dV/dr
C.
E = V/r
D.
E = V^2
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Solution
The electric field E is the negative gradient of the electric potential V, given by E = -dV/dr.
Correct Answer: A — E = -dV/dr
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Q. What is the relationship between electric field E and electric potential V?
A.
E = -dV/dx
B.
E = dV/dx
C.
E = V/d
D.
E = -V/d
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Solution
The electric field E is the negative gradient of the electric potential V, given by E = -dV/dx.
Correct Answer: A — E = -dV/dx
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Q. What is the relationship between electric field E and potential V in a uniform electric field?
A.
E = -dV/dx
B.
E = dV/dx
C.
E = V/dx
D.
E = -V/dx
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Solution
In a uniform electric field, the relationship is given by E = -dV/dx, indicating that the electric field points in the direction of decreasing potential.
Correct Answer: A — E = -dV/dx
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Q. What is the relationship between electric field E and potential V in electrostatics?
A.
E = -dV/dx
B.
E = dV/dx
C.
E = V/dx
D.
E = -V
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Solution
The electric field is the negative gradient of the electric potential, E = -dV/dx.
Correct Answer: A — E = -dV/dx
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Q. What is the relationship between electric field E and surface charge density σ on a conductor?
A.
E = σ/ε₀
B.
E = σ/2ε₀
C.
E = 2σ/ε₀
D.
E = σ/4ε₀
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Solution
The electric field just outside a charged conductor is given by E = σ/ε₀.
Correct Answer: A — E = σ/ε₀
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Q. What is the relationship between electric potential (V) and electric field (E) in a uniform field?
A.
V = E × d
B.
V = E/d
C.
E = V × d
D.
E = V/d
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Solution
In a uniform electric field, the electric potential difference V is given by V = E × d, where d is the distance moved in the direction of the field.
Correct Answer: A — V = E × d
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Q. What is the relationship between electric potential and electric field?
A.
E = -dV/dx
B.
E = dV/dx
C.
E = V/d
D.
E = -V/d
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Solution
The electric field E is the negative gradient of the electric potential V, expressed as E = -dV/dx.
Correct Answer: A — E = -dV/dx
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Q. What is the relationship between enthalpy (H), internal energy (U), pressure (P), and volume (V)?
A.
H = U + PV
B.
H = U - PV
C.
H = U + P/V
D.
H = U - P/V
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Solution
The relationship is given by H = U + PV, where H is enthalpy, U is internal energy, P is pressure, and V is volume.
Correct Answer: A — H = U + PV
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Q. What is the relationship between frequency and wavelength in a wave traveling at a constant speed?
A.
Directly proportional
B.
Inversely proportional
C.
Independent
D.
None of the above
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Solution
Frequency and wavelength are inversely proportional when the speed of the wave is constant, as given by the equation v = fλ.
Correct Answer: B — Inversely proportional
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Q. What is the relationship between frequency and wavelength in a wave?
A.
Frequency is directly proportional to wavelength
B.
Frequency is inversely proportional to wavelength
C.
Frequency is independent of wavelength
D.
Frequency equals wavelength
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Solution
The relationship is given by the equation v = fλ, where v is the speed of the wave, f is the frequency, and λ is the wavelength. Thus, frequency is inversely proportional to wavelength.
Correct Answer: B — Frequency is inversely proportional to wavelength
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Q. What is the relationship between gravitational field strength and gravitational potential?
A.
Field strength is the gradient of potential.
B.
Field strength is the integral of potential.
C.
They are independent.
D.
Field strength is the square of potential.
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Solution
Gravitational field strength is the negative gradient of gravitational potential.
Correct Answer: A — Field strength is the gradient of potential.
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Q. What is the relationship between gravitational potential and gravitational field strength?
A.
V = -g * r
B.
g = -dV/dr
C.
V = g * r
D.
g = dV/dr
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Solution
The gravitational field strength g is the negative gradient of the gravitational potential V, given by g = -dV/dr.
Correct Answer: B — g = -dV/dr
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Q. What is the relationship between heat capacity at constant pressure (Cp) and heat capacity at constant volume (Cv)?
A.
Cp = Cv
B.
Cp > Cv
C.
Cp < Cv
D.
Cp = Cv + R
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Solution
For an ideal gas, Cp is always greater than Cv because it includes the work done against the atmospheric pressure.
Correct Answer: B — Cp > Cv
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Q. What is the relationship between heat capacity at constant volume (Cv) and heat capacity at constant pressure (Cp) for an ideal gas?
A.
Cp = Cv
B.
Cp = Cv + R
C.
Cp = Cv - R
D.
Cp = 2Cv
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Solution
For an ideal gas, the relationship is given by Cp = Cv + R, where R is the universal gas constant.
Correct Answer: B — Cp = Cv + R
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Q. What is the relationship between heat capacity at constant volume (Cv) and heat capacity at constant pressure (Cp)?
A.
Cp = Cv
B.
Cp = Cv + R
C.
Cp = Cv - R
D.
Cp = 2Cv
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Solution
The relationship is Cp = Cv + R for an ideal gas, where R is the gas constant.
Correct Answer: B — Cp = Cv + R
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Q. What is the relationship between Joules and Newton-meters?
A.
They are equal
B.
Joule is greater
C.
Newton-meter is greater
D.
They are unrelated
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Solution
1 Joule is defined as 1 Newton-meter, so they are equal.
Correct Answer: A — They are equal
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Q. What is the relationship between linear velocity (v) and angular velocity (ω) for a point on a rotating object?
A.
v = ωr
B.
v = r/ω
C.
v = ω/r
D.
v = rω²
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Solution
The relationship is given by v = ωr, where r is the radius of the rotation.
Correct Answer: A — v = ωr
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Q. What is the relationship between mass and weight?
A.
Weight = Mass × Acceleration due to gravity
B.
Weight = Mass / Acceleration due to gravity
C.
Weight = Mass + Acceleration due to gravity
D.
Weight = Mass - Acceleration due to gravity
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Solution
Weight is defined as the force due to gravity acting on a mass, given by the formula Weight = Mass × g (where g is the acceleration due to gravity).
Correct Answer: A — Weight = Mass × Acceleration due to gravity
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Q. What is the relationship between power, force, and velocity?
A.
P = F * v
B.
P = F / v
C.
P = F + v
D.
P = F - v
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Solution
Power is defined as the product of force and velocity in the direction of the force, given by P = F * v.
Correct Answer: A — P = F * v
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Q. What is the relationship between power, voltage, and current in an electrical circuit?
A.
P = V/I
B.
P = VI
C.
P = V + I
D.
P = V - I
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Solution
In an electrical circuit, power is given by the formula P = VI, where P is power, V is voltage, and I is current.
Correct Answer: B — P = VI
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Q. What is the relationship between pressure and depth in a fluid?
A.
Pressure increases with depth
B.
Pressure decreases with depth
C.
Pressure remains constant
D.
Pressure is independent of depth
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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 pressure and volume in Boyle's Law?
A.
P ∝ V
B.
PV = constant
C.
P + V = constant
D.
P/V = constant
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Solution
Boyle's Law states that the pressure of a gas is inversely proportional to its volume at constant temperature, which can be expressed as PV = constant.
Correct Answer: B — PV = constant
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Q. What is the relationship between pressure and volume of a gas at constant temperature according to Boyle's Law?
A.
P ∝ V
B.
PV = constant
C.
P + V = constant
D.
PV = nRT
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Solution
Boyle's Law states that the pressure of a gas is inversely proportional to its volume at constant temperature, which can be expressed as PV = constant.
Correct Answer: B — PV = constant
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Q. What is the relationship between pressure and volume of a gas at constant temperature?
A.
Directly proportional
B.
Inversely proportional
C.
Independent
D.
Exponential
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Solution
According to Boyle's Law, pressure and volume of a gas are inversely proportional at constant temperature.
Correct Answer: B — Inversely proportional
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Q. What is the relationship between RMS speed and kinetic energy of gas molecules?
A.
Directly proportional
B.
Inversely proportional
C.
No relationship
D.
Depends on the gas
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Solution
The kinetic energy of gas molecules is directly proportional to the square of the RMS speed, as KE = (1/2)mv_rms^2.
Correct Answer: A — Directly proportional
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Q. What is the relationship between RMS speed and molecular weight?
A.
Directly proportional
B.
Inversely proportional
C.
No relation
D.
Exponential relation
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Solution
RMS speed is inversely proportional to the square root of molecular weight.
Correct Answer: B — Inversely proportional
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Q. What is the relationship between shear modulus (G) and Young's modulus (E)?
A.
G = E / (2(1 + ν))
B.
G = E * (2(1 + ν))
C.
G = E / (1 + ν)
D.
G = E * (1 + ν)
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Solution
The relationship is given by G = E / (2(1 + ν)), where ν is Poisson's ratio.
Correct Answer: A — G = E / (2(1 + ν))
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Q. What is the relationship between shear modulus and Young's modulus for isotropic materials?
A.
G = E/2(1 + ν)
B.
G = E(1 + ν)/2
C.
G = E/3
D.
G = 2E
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Solution
The shear modulus (G) is related to Young's modulus (E) and Poisson's ratio (ν) by the formula G = E/2(1 + ν).
Correct Answer: A — G = E/2(1 + ν)
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