Q. Which of the following quantities has the dimension of [M^0 L^0 T^-1]?
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A.
Velocity
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B.
Acceleration
-
C.
Frequency
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D.
Force
Solution
Frequency has the dimension of [M^0 L^0 T^-1] as it is defined as the number of cycles per unit time.
Correct Answer: C — Frequency
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Q. Which of the following quantities has the dimension of [M^0 L^0 T^0]?
-
A.
Mass
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B.
Time
-
C.
Length
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D.
Angle
Solution
Angle is a dimensionless quantity and has the dimension of [M^0 L^0 T^0].
Correct Answer: D — Angle
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Q. Which of the following quantities has the dimension of [M^0 L^1 T^-1]?
-
A.
Velocity
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B.
Acceleration
-
C.
Force
-
D.
Pressure
Solution
Velocity has the dimension of [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 of [M^0L^2T^-2]?
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A.
Energy
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B.
Force
-
C.
Power
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D.
Work
Solution
Energy and work both have the same dimensions of [M^1L^2T^-2]. Power has dimensions of [M^1L^2T^-3].
Correct Answer: A — Energy
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Q. Which of the following quantities has the dimension of [M^1 L^2 T^-2]?
-
A.
Pressure
-
B.
Energy
-
C.
Force
-
D.
Work
Solution
Energy has the dimension of [M^1 L^2 T^-2].
Correct Answer: B — Energy
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Q. Which of the following quantities has the dimension of [M⁰L²T⁻²]?
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A.
Energy
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B.
Force
-
C.
Power
-
D.
Work
Solution
Energy and work both have the same dimensions of [M⁰L²T⁻²], as they are equivalent.
Correct Answer: A — Energy
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Q. Which of the following quantities has the dimension [M^0 L^0 T^0]?
-
A.
Mass
-
B.
Time
-
C.
Length
-
D.
Angle
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
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
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?
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A.
Velocity
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B.
Force
-
C.
Acceleration
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D.
Temperature
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 a vector? (2019)
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A.
Speed
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B.
Distance
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C.
Displacement
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D.
Mass
Solution
Displacement is a vector quantity as it has both magnitude and direction, while speed, distance, and mass are scalar quantities.
Correct Answer: C — Displacement
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Q. Which of the following quantities is conserved in a closed system of rotating bodies?
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A.
Linear momentum
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B.
Angular momentum
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C.
Kinetic energy
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D.
All of the above
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?
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A.
Linear momentum
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B.
Angular momentum
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C.
Energy
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D.
All of the above
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?
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A.
Angular momentum
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B.
Linear momentum
-
C.
Energy
-
D.
All of the above
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?
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A.
Linear momentum
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B.
Angular momentum
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C.
Both linear and angular momentum
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D.
Neither
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 an isolated system? (2023)
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A.
Energy
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B.
Momentum
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C.
Mass
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D.
All of the above
Solution
In an isolated system, energy, momentum, and mass are all conserved.
Correct Answer: D — All of the above
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Q. Which of the following quantities is conserved in the absence of external torques?
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A.
Linear momentum
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B.
Angular momentum
-
C.
Energy
-
D.
All of the above
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?
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A.
Force x Distance
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B.
Mass x Acceleration
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C.
Pressure x Volume
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D.
All of the above
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?
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A.
Reynolds number
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B.
Force
-
C.
Energy
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D.
Pressure
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?
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A.
Work
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B.
Power
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C.
Energy
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D.
Both Work and Energy
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 quantities is not a scalar? (2021)
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A.
Mass
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B.
Temperature
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C.
Velocity
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D.
Speed
Solution
Velocity is a vector quantity as it has both magnitude and direction, while mass, temperature, and speed are scalar quantities.
Correct Answer: C — Velocity
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Q. Which of the following quantum numbers can have a negative value?
Solution
The magnetic quantum number (m_l) can take negative values, ranging from -l to +l.
Correct Answer: C — m_l
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Q. Which of the following quantum numbers can have a value of 0?
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A.
Principal quantum number
-
B.
Azimuthal quantum number
-
C.
Magnetic quantum number
-
D.
Spin quantum number
Solution
The azimuthal quantum number (l) can have a value of 0, which corresponds to an s orbital.
Correct Answer: B — Azimuthal quantum number
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Q. Which of the following quantum numbers can never be negative?
Solution
The principal quantum number n can never be negative; it starts from 1.
Correct Answer: A — n
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Q. Which of the following quantum numbers cannot be negative?
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A.
Principal quantum number (n)
-
B.
Azimuthal quantum number (l)
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C.
Magnetic quantum number (m_l)
-
D.
Spin quantum number (m_s)
Solution
The principal quantum number (n) is always a positive integer (1, 2, 3, ...).
Correct Answer: A — Principal quantum number (n)
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Q. Which of the following quantum numbers cannot be the same for two electrons in the same atom?
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A.
Principal quantum number
-
B.
Azimuthal quantum number
-
C.
Magnetic quantum number
-
D.
Spin quantum number
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?
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A.
Principal quantum number
-
B.
Azimuthal quantum number
-
C.
Magnetic quantum number
-
D.
Spin quantum number
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 quantum numbers describes the shape of an atomic orbital? (2022)
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A.
Principal quantum number
-
B.
Azimuthal quantum number
-
C.
Magnetic quantum number
-
D.
Spin quantum number
Solution
The azimuthal quantum number (l) describes the shape of the atomic orbital.
Correct Answer: B — Azimuthal quantum number
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Q. Which of the following quantum numbers describes the shape of an orbital?
-
A.
Principal quantum number
-
B.
Azimuthal quantum number
-
C.
Magnetic quantum number
-
D.
Spin quantum number
Solution
The azimuthal quantum number (l) determines the shape of the orbital.
Correct Answer: B — Azimuthal quantum number
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Q. Which of the following quantum numbers describes the shape of an orbital? (2020) 2020
-
A.
Principal quantum number
-
B.
Azimuthal quantum number
-
C.
Magnetic quantum number
-
D.
Spin quantum number
Solution
The azimuthal quantum number (l) describes the shape of an orbital.
Correct Answer: B — Azimuthal quantum number
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