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^0 T^1]? (2022)
A.
Speed
B.
Time
C.
Force
D.
Energy
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Solution
Time has the dimension [M^0 L^0 T^1].
Correct Answer: B — Time
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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 a vector? (2019)
A.
Speed
B.
Distance
C.
Displacement
D.
Mass
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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?
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 an isolated system? (2023)
A.
Energy
B.
Momentum
C.
Mass
D.
All of the above
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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?
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 quantities is not a scalar? (2021)
A.
Mass
B.
Temperature
C.
Velocity
D.
Speed
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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?
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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?
A.
Principal quantum number
B.
Azimuthal quantum number
C.
Magnetic quantum number
D.
Spin quantum number
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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?
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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?
A.
Principal quantum number (n)
B.
Azimuthal quantum number (l)
C.
Magnetic quantum number (m_l)
D.
Spin quantum number (m_s)
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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?
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 quantum numbers describes the shape of an atomic orbital? (2022)
A.
Principal quantum number
B.
Azimuthal quantum number
C.
Magnetic quantum number
D.
Spin quantum number
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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
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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
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Solution
The azimuthal quantum number (l) describes the shape of an orbital.
Correct Answer: B — Azimuthal quantum number
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Q. Which of the following quantum numbers is associated with the orientation of an orbital?
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Solution
The magnetic quantum number (m_l) describes the orientation of an orbital.
Correct Answer: C — m_l
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Q. Which of the following quantum numbers is not associated with the electron spin?
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Solution
The principal quantum number n is not associated with electron spin; it describes the energy level.
Correct Answer: A — n
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Q. Which of the following quantum numbers is not associated with the electron's energy level?
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Solution
The spin quantum number (m_s) does not affect the energy level of the electron.
Correct Answer: D — m_s
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Q. Which of the following quantum numbers is not associated with the spin of an electron?
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Solution
The principal quantum number n, azimuthal quantum number l, and magnetic quantum number m_l do not describe the spin of an electron. The spin quantum number s does.
Correct Answer: A — n
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Q. Which of the following reactions can alkynes undergo?
A.
Electrophilic addition
B.
Nucleophilic substitution
C.
Free radical substitution
D.
All of the above
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Solution
Alkynes can undergo electrophilic addition reactions due to the presence of the triple bond.
Correct Answer: A — Electrophilic addition
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