Physics Syllabus (JEE Main)
Q. Which of the following quantities has the dimension [M^0 L^0 T^0]?
A.
Mass
B.
Time
C.
Length
D.
Angle
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Solution
Angle is a dimensionless quantity and has the dimension [M^0 L^0 T^0].
Correct Answer: D — Angle
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Q. Which of the following quantities has the dimension [M^0 L^1 T^-1]?
A.
Velocity
B.
Acceleration
C.
Force
D.
Pressure
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Solution
Velocity has the dimension [M^0 L^1 T^-1], as it is defined as distance per unit time.
Correct Answer: A — Velocity
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Q. Which of the following quantities has the dimension [M^1 L^2 T^-2]?
A.
Energy
B.
Force
C.
Pressure
D.
Power
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Solution
Energy has the dimension [M^1 L^2 T^-2].
Correct Answer: A — Energy
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Q. Which of the following quantities is a scalar?
A.
Velocity
B.
Force
C.
Acceleration
D.
Temperature
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Solution
Temperature is a scalar quantity as it has magnitude but no direction, while velocity, force, and acceleration are vector quantities.
Correct Answer: D — Temperature
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Q. Which of the following quantities is conserved in a closed system of rotating bodies?
A.
Linear momentum
B.
Angular momentum
C.
Kinetic energy
D.
All of the above
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Solution
In a closed system, angular momentum is conserved, while linear momentum and kinetic energy may not be.
Correct Answer: B — Angular momentum
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Q. Which of the following quantities is conserved in a closed system with no external torques?
A.
Linear momentum
B.
Angular momentum
C.
Energy
D.
All of the above
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Solution
In a closed system with no external torques, angular momentum is conserved.
Correct Answer: B — Angular momentum
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Q. Which of the following quantities is conserved in a closed system with no external torques acting on it?
A.
Angular momentum
B.
Linear momentum
C.
Energy
D.
All of the above
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Solution
In a closed system with no external torques, angular momentum is conserved.
Correct Answer: A — Angular momentum
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Q. Which of the following quantities is conserved in an isolated system when no external torques act?
A.
Linear momentum
B.
Angular momentum
C.
Both linear and angular momentum
D.
Neither
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Solution
In an isolated system with no external torques, angular momentum is conserved.
Correct Answer: B — Angular momentum
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Q. Which of the following quantities is conserved in the absence of external torques?
A.
Linear momentum
B.
Angular momentum
C.
Energy
D.
All of the above
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Solution
In the absence of external torques, angular momentum is conserved.
Correct Answer: B — Angular momentum
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Q. Which of the following quantities is dimensionally consistent with energy?
A.
Force x Distance
B.
Mass x Acceleration
C.
Pressure x Volume
D.
All of the above
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Solution
All the options are dimensionally consistent with energy, as they can be expressed in terms of [M^1 L^2 T^-2].
Correct Answer: D — All of the above
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Q. Which of the following quantities is dimensionless?
A.
Reynolds number
B.
Force
C.
Energy
D.
Pressure
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Solution
Reynolds number is dimensionless as it is a ratio of inertial forces to viscous forces.
Correct Answer: A — Reynolds number
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Q. Which of the following quantities is measured in Joules?
A.
Work
B.
Power
C.
Energy
D.
Both Work and Energy
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Solution
Both work and energy are measured in Joules (J) in the SI system.
Correct Answer: D — Both Work and Energy
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Q. Which of the following quantum numbers cannot be the same for two electrons in the same atom?
A.
Principal quantum number
B.
Azimuthal quantum number
C.
Magnetic quantum number
D.
Spin quantum number
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Solution
According to the Pauli Exclusion Principle, no two electrons in an atom can have the same set of all four quantum numbers.
Correct Answer: D — Spin quantum number
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Q. Which of the following quantum numbers describes the orientation of an orbital?
A.
Principal quantum number
B.
Azimuthal quantum number
C.
Magnetic quantum number
D.
Spin quantum number
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Solution
The magnetic quantum number describes the orientation of an orbital in space.
Correct Answer: C — Magnetic quantum number
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Q. Which of the following shapes has the largest moment of inertia for the same mass and radius?
A.
Solid sphere
B.
Hollow sphere
C.
Solid cylinder
D.
Hollow cylinder
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Solution
The hollow sphere has the largest moment of inertia compared to the other shapes for the same mass and radius.
Correct Answer: B — Hollow sphere
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Q. Which of the following statements about a convex lens is true?
A.
It can only produce real images.
B.
It can only produce virtual images.
C.
It can produce both real and virtual images.
D.
It has a negative focal length.
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Solution
A convex lens can produce both real images (when the object is outside the focal length) and virtual images (when the object is within the focal length).
Correct Answer: C — It can produce both real and virtual images.
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Q. Which of the following statements about a potentiometer is true?
A.
It can only measure AC voltages.
B.
It requires a constant current for accurate measurements.
C.
It can measure both AC and DC voltages.
D.
It is only used in laboratory settings.
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Solution
A potentiometer requires a constant current to ensure accurate measurements of voltage.
Correct Answer: B — It requires a constant current for accurate measurements.
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Q. Which of the following statements about buoyancy is true?
A.
Buoyant force acts downward
B.
Buoyant force is equal to the weight of the fluid displaced
C.
Buoyant force depends on the shape of the object
D.
Buoyant force is always equal to the weight of the object
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Solution
The buoyant force acting on an object submerged in a fluid is equal to the weight of the fluid displaced by the object.
Correct Answer: B — Buoyant force is equal to the weight of the fluid displaced
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Q. Which of the following statements about circularly polarized light is true?
A.
It has no preferred direction of oscillation
B.
It oscillates in a single plane
C.
It can be converted to linearly polarized light
D.
It is always produced by reflection
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Solution
Circularly polarized light has no preferred direction of oscillation; the electric field vector rotates in a circular motion.
Correct Answer: A — It has no preferred direction of oscillation
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Q. Which of the following statements about diffraction gratings is true?
A.
They can only produce first-order maxima
B.
They can produce multiple orders of maxima
C.
They do not produce any maxima
D.
They only work with monochromatic light
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Solution
Diffraction gratings can produce multiple orders of maxima due to the constructive interference of light waves.
Correct Answer: B — They can produce multiple orders of maxima
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Q. Which of the following statements about diffraction is true?
A.
Diffraction can occur with any type of wave
B.
Diffraction only occurs with sound waves
C.
Diffraction is only observed in light waves
D.
Diffraction is a phenomenon exclusive to electromagnetic waves
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Solution
Diffraction can occur with any type of wave, including sound, light, and water waves.
Correct Answer: A — Diffraction can occur with any type of wave
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Q. Which of the following statements about elastic potential energy stored in a stretched wire is true?
A.
It is proportional to the square of the extension
B.
It is proportional to the extension
C.
It is independent of the material
D.
It is always constant
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Solution
The elastic potential energy stored in a stretched wire is given by U = (1/2) * F * x, which is proportional to the square of the extension.
Correct Answer: A — It is proportional to the square of the extension
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Q. Which of the following statements about electric field lines is true?
A.
They can cross each other
B.
They are always straight
C.
They point from positive to negative charges
D.
They are always circular
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Solution
Electric field lines point from positive to negative charges, indicating the direction of the electric field.
Correct Answer: C — They point from positive to negative charges
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Q. Which of the following statements about electromagnetic waves is true?
A.
They require a medium to propagate
B.
They travel at the speed of sound
C.
They are transverse waves
D.
They are longitudinal waves
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Solution
Electromagnetic waves are transverse waves that do not require a medium to propagate and travel at the speed of light in a vacuum.
Correct Answer: C — They are transverse waves
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Q. Which of the following statements about fluids is true?
A.
Fluids can only flow in one direction
B.
Fluids have a definite shape
C.
Fluids can exert pressure in all directions
D.
Fluids are incompressible
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Solution
Fluids can exert pressure in all directions, which is a fundamental property of fluids.
Correct Answer: C — Fluids can exert pressure in all directions
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Q. Which of the following statements about geostationary satellites is true?
A.
They orbit the Earth in a polar orbit
B.
They have a period of 24 hours
C.
They are closer to the Earth than low Earth orbit satellites
D.
They can be used for global positioning
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Solution
Geostationary satellites have an orbital period equal to the Earth's rotation period, which is 24 hours.
Correct Answer: B — They have a period of 24 hours
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Q. Which of the following statements about gravitational potential energy (U) is true?
A.
U increases as two masses move closer together
B.
U decreases as two masses move closer together
C.
U is always positive
D.
U is independent of distance
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Solution
Gravitational potential energy decreases as two masses move closer together, as U = -G * (m1 * m2) / r.
Correct Answer: B — U decreases as two masses move closer together
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Q. Which of the following statements about gravitational potential energy is true?
A.
It is always positive.
B.
It can be negative.
C.
It is independent of the reference point.
D.
It increases with distance.
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Solution
Gravitational potential energy can be negative depending on the reference point chosen.
Correct Answer: B — It can be negative.
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Q. Which of the following statements about isotopes is true?
A.
Isotopes have the same number of protons
B.
Isotopes have different chemical properties
C.
Isotopes have different numbers of protons
D.
Isotopes are always radioactive
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Solution
Isotopes are atoms of the same element with the same number of protons but different numbers of neutrons.
Correct Answer: A — Isotopes have the same number of protons
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Q. Which of the following statements about kinetic friction is true?
A.
It is always greater than static friction.
B.
It depends on the speed of the object.
C.
It is independent of the contact area.
D.
It increases with increasing normal force.
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Solution
Kinetic friction is independent of the contact area and depends only on the normal force and the coefficient of kinetic friction.
Correct Answer: C — It is independent of the contact area.
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