Physics Syllabus (JEE Main)
Q. The dimensional formula for work is:
A.
[M^1 L^2 T^-2]
B.
[M^1 L^1 T^-1]
C.
[M^0 L^2 T^-1]
D.
[M^1 L^0 T^0]
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Solution
The dimensional formula for work is [M^1 L^2 T^-2].
Correct Answer: A — [M^1 L^2 T^-2]
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Q. The displacement of a simple harmonic oscillator is given by x(t) = A cos(ωt + φ). What is the maximum displacement?
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Solution
The maximum displacement in SHM is equal to the amplitude A.
Correct Answer: A — A
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Q. The electric potential due to a uniformly charged sphere at a point outside the sphere is equivalent to that of?
A.
A point charge at the center
B.
A point charge at the surface
C.
A point charge at the edge
D.
A hollow sphere
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Solution
The electric potential outside a uniformly charged sphere is the same as that due to a point charge located at the center of the sphere.
Correct Answer: A — A point charge at the center
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Q. The energy of a simple harmonic oscillator is proportional to which of the following?
A.
Displacement
B.
Velocity
C.
Square of amplitude
D.
Frequency
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Solution
The total energy of a simple harmonic oscillator is proportional to the square of the amplitude.
Correct Answer: C — Square of amplitude
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Q. The equation of motion for a simple harmonic oscillator is given by x(t) = A cos(ωt + φ). What does φ represent?
A.
Amplitude
B.
Phase constant
C.
Angular frequency
D.
Time period
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Solution
In the equation of motion for simple harmonic motion, φ is the phase constant, which determines the initial position of the oscillator.
Correct Answer: B — Phase constant
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Q. The equation of motion for a simple harmonic oscillator is given by x(t) = A cos(ωt + φ). What does A represent?
A.
Angular frequency
B.
Phase constant
C.
Amplitude
D.
Displacement
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Solution
A represents the amplitude of the oscillation, which is the maximum displacement from the mean position.
Correct Answer: C — Amplitude
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Q. The expression 4^(x+1) can be rewritten as?
A.
2^(2x+2)
B.
2^(x+1)
C.
2^(x+2)
D.
4^x
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Solution
4^(x+1) = (2^2)^(x+1) = 2^(2(x+1)) = 2^(2x+2).
Correct Answer: A — 2^(2x+2)
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Q. The gravitational field inside a uniform spherical shell is:
A.
Zero
B.
Constant
C.
Increases linearly
D.
Decreases linearly
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Solution
The gravitational field inside a uniform spherical shell is zero.
Correct Answer: A — Zero
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Q. The gravitational field strength at the surface of a planet is 9.8 N/kg. What is the gravitational potential at the surface if the radius of the planet is 6.4 x 10^6 m?
A.
-62.72 x 10^6 J/kg
B.
-9.8 J/kg
C.
-19.6 x 10^6 J/kg
D.
-39.2 x 10^6 J/kg
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Solution
V = -g * r = -9.8 N/kg * 6.4 x 10^6 m = -62.72 x 10^6 J/kg.
Correct Answer: A — -62.72 x 10^6 J/kg
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Q. The gravitational field strength at the surface of the Earth is approximately 9.8 N/kg. What is the gravitational potential at the surface of the Earth?
A.
0 J/kg
B.
-9.8 J/kg
C.
-19.6 J/kg
D.
-39.2 J/kg
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Solution
The gravitational potential at the surface of the Earth is negative, approximately -9.8 J/kg.
Correct Answer: B — -9.8 J/kg
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Q. The gravitational force acting on a satellite in orbit is dependent on which of the following?
A.
Mass of the satellite only
B.
Mass of the Earth only
C.
Distance from the Earth
D.
All of the above
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Solution
The gravitational force acting on a satellite depends on the mass of the satellite, the mass of the Earth, and the distance from the Earth according to Newton's law of gravitation.
Correct Answer: D — All of the above
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Q. The gravitational force between two objects is 10 N. If the distance between them is halved, what will be the new force?
A.
20 N
B.
40 N
C.
10 N
D.
5 N
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Solution
If the distance is halved, the gravitational force increases by a factor of 4, so the new force is 40 N.
Correct Answer: B — 40 N
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Q. The gravitational potential at a point is defined as the work done in bringing a unit mass from infinity to that point. What is the unit of gravitational potential?
A.
J/kg
B.
N/kg
C.
J/m
D.
N/m
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Solution
The unit of gravitational potential is Joules per kilogram (J/kg).
Correct Answer: A — J/kg
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Q. The gravitational potential at infinity is defined as what value?
A.
0
B.
1
C.
-1
D.
Undefined
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Solution
The gravitational potential at infinity is defined to be 0.
Correct Answer: A — 0
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Q. The gravitational potential energy of a system of two masses is negative. What does this imply?
A.
The masses are repelling each other
B.
The masses are attracting each other
C.
The system is in equilibrium
D.
The potential energy is zero
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Solution
A negative gravitational potential energy indicates that the masses are attracting each other.
Correct Answer: B — The masses are attracting each other
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Q. The gravitational potential energy of an object at height h is given by which formula?
A.
mgh
B.
gh
C.
mg/h
D.
mgh^2
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Solution
The gravitational potential energy U at height h is given by U = mgh.
Correct Answer: A — mgh
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Q. The gravitational potential energy of an object is given by which formula?
A.
U = mgh
B.
U = -GMm/r
C.
U = 1/2 mv^2
D.
U = Fd
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Solution
The gravitational potential energy U of an object in a gravitational field is given by U = -GMm/r.
Correct Answer: B — U = -GMm/r
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Q. The gravitational potential energy of two masses m1 and m2 separated by a distance r is given by which formula?
A.
-G(m1*m2)/r
B.
G(m1*m2)/r
C.
-G(m1+m2)/r
D.
G(m1+m2)/r
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Solution
The gravitational potential energy U = -G(m1*m2)/r.
Correct Answer: A — -G(m1*m2)/r
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Q. The heat transfer coefficient in convection depends on which of the following?
A.
Surface area
B.
Fluid velocity
C.
Temperature difference
D.
All of the above
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Solution
The heat transfer coefficient in convection depends on surface area, fluid velocity, and temperature difference.
Correct Answer: D — All of the above
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Q. The length of a rod is measured as 50 cm with an error of 1 cm. What is the minimum possible length?
A.
49 cm
B.
50 cm
C.
51 cm
D.
48 cm
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Solution
Minimum possible length = Measured value - Error = 50 - 1 = 49 cm.
Correct Answer: A — 49 cm
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Q. The magnetic field inside a long solenoid is?
A.
Zero
B.
Uniform
C.
Non-uniform
D.
Depends on the current
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Solution
The magnetic field inside a long solenoid is uniform and parallel to the axis of the solenoid.
Correct Answer: B — Uniform
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Q. The mean free path of gas molecules is defined as:
A.
The average distance traveled between collisions
B.
The distance traveled in one second
C.
The distance between two gas containers
D.
The average distance of gas molecules in a container
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Solution
The mean free path is the average distance a molecule travels before colliding with another molecule.
Correct Answer: A — The average distance traveled between collisions
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Q. The modulus of resilience is defined as:
A.
The energy per unit volume stored in a material up to the yield point
B.
The total energy absorbed by a material before fracture
C.
The ratio of stress to strain
D.
The maximum stress a material can withstand
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Solution
The modulus of resilience is the energy per unit volume stored in a material up to the yield point.
Correct Answer: A — The energy per unit volume stored in a material up to the yield point
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Q. The moment of inertia of a composite body can be calculated using which theorem?
A.
Pythagorean theorem
B.
Parallel axis theorem
C.
Perpendicular axis theorem
D.
Conservation of energy
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Solution
The moment of inertia of a composite body can be calculated using the parallel axis theorem.
Correct Answer: B — Parallel axis theorem
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Q. The moment of inertia of a hollow cylinder about its central axis is given by which formula?
A.
1/2 MR^2
B.
MR^2
C.
1/3 MR^2
D.
2/3 MR^2
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Solution
The moment of inertia of a hollow cylinder about its central axis is I = MR^2.
Correct Answer: B — MR^2
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Q. The moment of inertia of a system of particles is calculated by summing which of the following?
A.
Mass times distance from the axis
B.
Mass times square of distance from the axis
C.
Mass times angular velocity
D.
Mass times linear velocity
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Solution
The moment of inertia is calculated by summing the mass of each particle times the square of its distance from the axis of rotation: I = Σ(m_i * r_i²).
Correct Answer: B — Mass times square of distance from the axis
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Q. The phenomenon of a liquid rising in a narrow tube is called?
A.
Surface tension
B.
Capillarity
C.
Viscosity
D.
Hydrostatic pressure
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Solution
The phenomenon of a liquid rising in a narrow tube is called capillarity.
Correct Answer: B — Capillarity
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Q. The phenomenon of capillary action is primarily due to:
A.
Surface tension and cohesion
B.
Surface tension and adhesion
C.
Viscosity and density
D.
Gravity and pressure
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Solution
Capillary action occurs due to the combination of surface tension (which pulls the liquid up) and adhesion (which attracts the liquid to the walls of the tube).
Correct Answer: B — Surface tension and adhesion
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Q. The phenomenon of liquid rising in a narrow tube is known as?
A.
Surface tension
B.
Capillarity
C.
Viscosity
D.
Hydrostatic pressure
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Solution
The phenomenon of liquid rising in a narrow tube is called capillarity.
Correct Answer: B — Capillarity
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Q. The potential energy of a system of two point charges q1 and q2 separated by a distance r is given by?
A.
k * q1 * q2 / r
B.
k * q1 * q2 * r
C.
k * (q1 + q2) / r
D.
k * (q1 - q2) / r
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Solution
The potential energy U of a system of two point charges is given by U = k * q1 * q2 / r.
Correct Answer: A — k * q1 * q2 / r
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