Preparing for the Joint Entrance Exam (JEE) can be a daunting task. With so many subjects to cover and so many topics to study, it can be challenging to know where to start. One essential topic in the JEE Mains syllabus is the Units and Measurements. In this article, we will provide 50+ MCQ questions on the Units and Measurements, along with detailed solutions to help you prepare for the JEE Mains exam.
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These 50+ MCQ questions are selected by the experts of studyrate.in and these are more difficult questions, which will help you to better understand Units and Measurements JEE Mains MCQ Questions with Answers.
Units and Measurements JEE Mains MCQ
The SI unit of luminous intensity is: A) Candela B) Lux C) Ampere D) Watt
Solution:
A) Candela
Explanation: Luminous intensity is the amount of light emitted per unit solid angle in a particular direction. It is measured in the SI unit called candela (cd).
Which of the following is a derived unit? A) Meter B) Second C) Kilogram D) Newton
Solution:
D) Newton
Explanation: A derived unit is a unit that is derived from the base units. The newton (N) is a derived unit, defined as the force required to accelerate a mass of one kilogram at a rate of one meter per second squared (N = kg·m/s^2).
The dimensional formula of coefficient of viscosity is: A) [MLT^-1] B) [ML^-1T^-1] C) [M^2L^-1T^-2] D) [M^-1L^-1T^-1]
Solution:
C) [M^2L^-1T^-2]
Explanation: The coefficient of viscosity measures the resistance to the flow of a fluid. Its dimensional formula is [M^2L^-1T^-2], where M represents mass, L represents length, and T represents time.
The numerical value of the speed of light in vacuum is: A) 3.0 x 10^6 m/s B) 3.0 x 10^8 m/s C) 3.0 x 10^10 m/s D) 3.0 x 10^12 m/s
Solution:
B) 3.0 x 10^8 m/s
Explanation: The speed of light in a vacuum is approximately 3.0 x 10^8 meters per second (m/s). It is a fundamental constant in physics.
The dimensional formula of pressure is: A) [MLT^-2] B) [ML^-1T^-2] C) [M^-1L^-1T^-2] D) [M^-1L^-1T^-1]
Solution:
A) [MLT^-2]
Explanation: Pressure is defined as the force per unit area. Its dimensional formula is [MLT^-2], where M represents mass, L represents length, and T represents time.
The dimension of magnetic field is given by: A) [M^1L^1T^-2] B) [M^1L^0T^-1] C) [M^0L^1T^-1] D) [M^1L^0T^-2]
Solution:
A) [M^1L^1T^-2]
Explanation: The magnetic field has dimensions of [M^1L^1T^-2], where M represents mass, L represents length, and T represents time.
The dimension of impulse is the same as that of: A) Momentum B) Energy C) Force D) Power
Solution:
A) Momentum
Explanation: Impulse is defined as the change in momentum of an object. Both impulse and momentum have the same dimensions, given by [M^1L^1T^-1].
The ratio of the dimensional value of the coefficient of viscosity to the dimensional value of the density of a fluid gives the dimension of: A) Velocity B) Force C) Surface tension D) Pressure
Solution:
A) Velocity
Explanation: The ratio of the dimensional value of the coefficient of viscosity (η) to the dimensional value of the density (ρ) of a fluid gives the dimension of velocity (v). The equation is η/ρ = v.
The dimensional formula of angular momentum is: A) [ML^2T^-1] B) [M^2L^-1T^-2] C) [MLT^-2] D) [M^1L^2T^-1]
Solution:
A) [ML^2T^-1]
Explanation: Angular momentum is defined as the product of moment of inertia and angular velocity. Its dimensional formula is [ML^2T^-1], where M represents mass, L represents length, and T represents time.
The numerical value of Avogadro’s number is approximately: A) 6.022 x 10^20 B) 6.022 x 10^22 C) 6.022 x 10^23 D) 6.022 x 10^25
Solution:
C) 6.022 x 10^23
Explanation: Avogadro’s number represents the number of particles (atoms, molecules, ions, etc.) in one mole of a substance. Its approximate value is 6.022 x 10^23.
The dimensional formula of electric potential is: A) [ML^2T^-3A^-1] B) [ML^2T^-3A] C) [M^1L^2T^-3A^-1] D) [M^1L^-2T^3A^-1]
Solution:
D) [M^1L^-2T^3A^-1]
Explanation: Electric potential is defined as the work done per unit charge in bringing a positive test charge from infinity to a point in an electric field. Its dimensional formula is [M^1L^-2T^3A^-1], where M represents mass, L represents length, T represents time, and A represents electric current.
The dimensional formula of Young’s modulus is: A) [ML^-1T^-2] B) [ML^-1T^-1] C) [M^1L^-1T^-2] D) [M^1L^-1T^-1]
Solution:
A) [ML^-1T^-2]
Explanation: Young’s modulus is a measure of the stiffness of a material and is defined as the ratio of stress to strain. Its dimensional formula is [ML^-1T^-2], where M represents mass, L represents length, and T represents time.
The dimensional formula of surface tension is: A) [ML^-1T^-2] B) [ML^-1T^-1] C) [M^1L^-1T^-2] D) [M^1L^-2T^-2]
Solution:
D) [M^1L^-2T^-2]
Explanation: Surface tension is defined as the force per unit length acting tangentially along the surface of a liquid. Its dimensional formula is [M^1L^-2T^-2], where M represents mass, L represents length, and T represents time.
The numerical value of the gravitational constant (G) is approximately: A) 6.674 x 10^-8 m^3 kg^-1 s^-2 B) 6.674 x 10^-10 m^3 kg^-1 s^-2 C) 6.674 x 10^-11 m^3 kg^-1 s^-2 D) 6.674 x 10^-12 m^3 kg^-1 s^-2
Solution:
C) 6.674 x 10^-11 m^3 kg^-1 s^-2
Explanation: The gravitational constant (G) represents the strength of the gravitational force between two objects. Its approximate value is 6.674 x 10^-11 m^3 kg^-1 s^-2.
The dimensional formula of power is: A) [ML^-2T^-3] B) [ML^2T^-3] C) [ML^2T^-2] D) [ML^3T^-2]
Solution:
C) [ML^2T^-3]
Explanation: Power is defined as the rate at which work is done or energy is transferred. Its dimensional formula is [ML^2T^-3], where M represents mass, L represents length, and T represents time.
The SI unit of electric charge is: A) Ampere B) Coulomb C) Volt D) Ohm
Solution:
B) Coulomb
Explanation: The SI unit of electric charge is the coulomb (C). It is a fundamental unit in the International System of Units (SI).
The dimensional formula of work done is: A) [ML^2T^-2] B) [ML^2T^-1] C) [ML^2T^-3] D) [ML^2T^-4]
Solution:
A) [ML^2T^-2]
Explanation: Work done is defined as the product of force and displacement. Its dimensional formula is [ML^2T^-2], where M represents mass, L represents length, and T represents time.
The dimension of gravitational potential energy is the same as that of: A) Kinetic energy B) Power C) Force D) Angular momentum
Solution:
A) Kinetic energy
Explanation: Gravitational potential energy is a form of potential energy. The dimension of gravitational potential energy is the same as that of kinetic energy, given by [ML^2T^-2].
The dimensional formula of electrical resistivity is: A) [ML^-1T^-3A^-1] B) [ML^-3T^-1A^-2] C) [M^-1L^-1T^-3A^2] D) [M^-2L^-1T^-3A^2]
Solution:
C) [M^-1L^-1T^-3A^2]
Explanation: Electrical resistivity is a measure of a material’s resistance to the flow of electric current. Its dimensional formula is [M^-1L^-1T^-3A^2], where M represents mass, L represents length, T represents time, and A represents electric current.
The numerical value of Planck’s constant (h) is approximately: A) 6.626 x 10^-34 J·s B) 6.626 x 10^-31 J·s C) 6.626 x 10^-28 J·s D) 6.626 x 10^-25 J·s
Solution:
A) 6.626 x 10^-34 J·s
Explanation: Planck’s constant (h) is a fundamental constant in quantum mechanics, relating the energy of a photon to its frequency. Its approximate value is 6.626 x 10^-34 J·s.
The dimensional formula of magnetic flux is: A) [ML^2T^-1A^-1] B) [ML^2T^-2A^-1] C) [M^1L^1T^-2A^-1] D) [M^1L^2T^-1A^-1]
Solution:
A) [ML^2T^-1A^-1]
Explanation: Magnetic flux is a measure of the quantity of magnetic field passing through a given area. Its dimensional formula is [ML^2T^-1A^-1], where M represents mass, L represents length, T represents time, and A represents electric current.
The dimensional formula of angular velocity is: A) [T^-1] B) [L^2T^-1] C) [L^2T^-2] D) [L^2T^-3]
Solution:
A) [T^-1]
We hope there JEE MCQ of Class 11 Units and Measurements will help you to score an excellent rank in JEE Mains and Advanced. If you have any queries feel free to write in the comments section. We at Study Rate are always ready to serve our students.
