IMU CET Merchant Navy Sponsorship Exam MCQs (PYQs) – Units and Measurements is a carefully curated collection of previous year questions designed to help aspirants strengthen their fundamental concepts in physics. Units and measurements form the backbone of all scientific calculations, making them extremely important for scoring well in the IMU CET exam. This set focuses on key topics such as SI units and measurements, ensuring that students gain both conceptual clarity and exam-oriented practice.
IMU CET Merchant Navy and Sponsorship Exam (DNS and GME) MCQs (PYQs) based on Units and Measurements Topic of Class11 Physics
For a complete understanding of this topic, students are strongly advised to study the detailed theory of Class 11 Physics Chapter Units and Measurements. A strong conceptual foundation in this chapter will help you solve MCQs more accurately and quickly in the IMU CET Merchant Navy Sponsorship Exam. You can explore the full theory, including explanations of SI units, dimensional analysis, significant figures, and error analysis, through our Class 11 Physics detailed notes section for better clarity and exam preparation. Also important MCQs add for Sponsorship Exam (DNS and GME).
Light year is a unit of
(a) Time
(b) Mass
(c) Distance
(d) Energy
[IMU CET 2001]
Answer: (c) Light year is a distance which light travels in one year.
The magnitude of any physical quantity
(a) Depends on the method of measurement
(b) Does not depend on the method of measurement
(c) Is more in SI system than in CGS system
(d) Directly proportional to the fundamental units of mass, length and time
Answer: (b) Because magnitude is absolute.
Which of the following is not equal to watt
(a) joule/second
(b) Ampere × volt
(c) (Ampere)² × ohm
(d) Ampere/volt
[IMU CET 2007]
Answer: (d) Watt = Joule/second = Ampere × volt = Ampere² × Ohm
Newton-second is the unit of
(a) Velocity
(b) Angular momentum
(c) Momentum
(d) Energy
[IMU CET 2018]
Answer: (c) Impulse = change in momentum = F × t
So the unit of momentum will be equal to Newton-sec.
Which of the following is not represented in correct unit
(a) $\frac{\text{Stress}}{\text{Strain}} = N/m^2$
(b) Surface tension = N/m
(c) Energy = kg-m/sec
(d) Pressure = N/m²
[IMU CET 2025]
Answer: (c) Unit of energy will be kg – m²/sec²
One second is equal to
(a) 1650763.73 time periods of Kr clock
(b) 652189.63 time periods of Kr clock
(c) 1650763.73 time periods of Cs clock
(d) 9192631770 time periods of Cs clock
[Sponsorship Exam]
Answer: (d) It is by standard definition.
One nanometre is equal to
(a) $10^9$ mm
(b) $10^{-6}$ cm
(c) $10^{-7}$ cm
(d) $10^{-9}$ cm
[Sponsorship Exam]
Answer: (c) 1 nm = $10^{-9}$ m = $10^{-7}$ cm
A micron is related to centimetre as
(a) 1 micron = $10^{-8}$ cm
(b) 1 micron = $10^{-6}$ cm
(c) 1 micron = $10^{-5}$ cm
(d) 1 micron = $10^{-4}$ cm
[Sponsorship Exam]
Answer: (d) 1 micron = $10^{-6}$ m = $10^{-4}$ cm
The unit of power is
(a) joule
(b) joule per second only
(c) joule per second and watt both
(d) Only watt
[Sponsorship Exam]
Answer: (c) Watt = joule/sec.
A suitable unit for gravitational constant is
(a) kg – m sec⁻¹
(b) N m⁻¹ sec
(c) N m² kg⁻²
(d) kg m sec⁻¹
[IMU CET 2023]
Answer: (c)
$F = G m_1 m_2 / d^2$;
∴ $G = F d^2 / m_1 m_2 = \text{N m}^2 / \text{kg}^2$
SI unit of pressure is
(a) Pascal
(b) Dynes / cm²
(c) cm of Hg
(d) Atmosphere
[Sponsorship Exam]
Answer: (a) : Pascal is SI unit of pressure
The unit of angular acceleration in the SI system is
(a) N kg⁻¹
(b) m s⁻²
(c) rad s⁻²
(d) m kg⁻¹ K
[Sponsorship Exam]
Answer: (c)
Angular acceleration = Angular velocity / Time = rad/sec²
The unit of Stefan’s constant σ is
(a) W m⁻² K⁻¹
(b) W m² K⁻⁴
(c) W m⁻² K⁻⁴
(d) W m⁻² K⁴
[IMU CET 2024]
Answer: (c)
Stefan’s law is $E = \sigma (T^4)$
⇒ $\sigma = E / T^4$
where, $E =$ Energy / Area × Time = Watt/m²
$\sigma =$ Watt-m⁻²/K⁴ = Watt-m⁻² K⁻⁴
Which of the following is not a unit of energy
(a) W-s
(b) kg – m / sec
(c) N-m
(d) joule
[Sponsorship Exam]
Answer: (b) Kg-m/sec is the unit of linear momentum
In $S = a + bt + ct^2$. S is measured in metres and t in seconds. The unit of c is
(a) None
(b) m
(c) ms⁻¹
(d) ms⁻²
[IMU CET 2025]
Answer: (d)
$c t^2$ must have dimensions of L
⇒ $c$ must have dimensions of L/T² i.e. LT⁻².
Joule-second is the unit of
(a) Work
(b) Momentum
(c) Pressure
(d) Angular momentum
[Sponsorship Exam]
Answer: (d)
$\tau = dL / dt$
⇒ $dL = \tau \times dt = r \times F \times dt$
i.e. the unit of angular momentum is joule-second.
Unit of energy in SI system is
(a) Erg
(b) Calorie
(c) Joule
(d) Electron volt
[Sponsorship Exam]
Answer: (c) All the above are units of energy but Joule is the SI unit of energy.
A cube has numerically equal volume and surface area. The volume of such a cube is
(a) 216 units
(b) 1000 units
(c) 2000 units
(d) 3000 units
[Sponsorship Exam]
Answer: (a)
Volume of cube = $a^3$
Surface area of cube = $6a^2$
according to problem $a^3 = 6a^2$
⇒ $a = 6$
∴ $V = a^3 = 216$ units.
Wavelength of ray of light is 0.00006 m. It is equal to
(a) 6 microns
(b) 60 microns
(c) 600 microns
(d) 0.6 microns
[GME Sponsorship Exam]
Answer: (b)
$6 \times 10^{-5} = 60 \times 10^{-6} = 60$ microns
Electron volt is a unit of
(a) Charge
(b) Potential difference
(c) Momentum
(d) Energy
[DNS Sponsorship Exam]
Answer: (d) Electron volt is a unit of Energy
Temperature can be expressed as a derived quantity in terms of any of the following
(a) Length and mass
(b) Mass and time
(c) Length, mass and time
(d) None of these
[DNS Sponsorship Exam]
Answer: (d) Because temperature is a fundamental quantity.
Unit of power is
(a) Kilowatt
(b) Kilowatt-hour
(c) Dyne
(d) Joule
[DNS Sponsorship Exam]
Answer: (a) Kilowatt is a unit of pwer.
Density of wood is 0.5 gm/cc in the CGS system of units. The corresponding value in MKS units is
(a) 500
(b) 5
(c) 0.5
(d) 5000
[GME Sponsorship Exam]
Answer: (a)
1 C.G.S unit of density = 1000 M.K.S. unit of density
⇒ 0.5 gm/cc = 500 kg/m³
Unit of energy is
(a) J/sec
(b) Watt-day
(c) Kilowatt
(d) gm-cm/sec²
[DNS Sponsorship Exam]
Answer: (b) Energy = Power x Time
Which is the correct unit for measuring nuclear radii
(a) Micron
(b) Millimetre
(c) Angstrom
(d) Fermi
[DNS Sponsorship Exam]
Answer: (d) nuclear radii is measured in fermi (fm) = 10-15 m
One Mach number is equal to
(a) Velocity of light
(b) Velocity of sound (332 m/sec)
(c) 1 km/sec
(d) 1 m/sec
[IMU CET 2025]
Answer: (b) Mach number = Velocity of object / Velocity of sound
One Mach (Mach 1) is equal to the speed of sound in a given medium, which varies based on temperature and altitude. At sea level, with a temperature of 15oC, 1 Mach is approximately 1,225 km/h, 767 mph, or 340 m/s. It is a dimensionless ratio of an object’s speed to the speed of sound
The unit for nuclear dose given to a patient is
(a) Fermi
(b) Rutherford
(c) Curie
(d) Gray (Gy)
[GME Sponsorship Exam]
Answer: (d)
The unit for nuclear radiation dose absorbed by a patient is primarily measured in Gray (Gy), representing the SI unit for absorbed dose (1Gy = 1 Joule/kg) for effective dose, which accounts for tissue sensitivity.
Key details regarding nuclear medicine dose units:
- Absorbed Dose: Measured in Gray (Gy).
- Effective Dose (Risk): Measured in Sieverts (Sv) or often millisieverts (mSv).
- Activity vs. Dose: Note that Curie (Ci) or Becquerel (Bq) measure the activity of the source, not the dose received by the patient.
Npte : Based on typical exam-style questions regarding “nuclear dose,” Roentgen is sometimes used for exposure, but Gray/Rad is the correct answer for dose absorbed by the patient.
Volt/metre is the unit of
(a) Potential
(b) Work
(c) Force
(d) Electric intensity
[IMU CET 2020]
Answer: (d) $E = – dV / dr$
Newton/metre² is the unit of
(a) Energy
(b) Momentum
(c) Force
(d) Pressure
[DNS Sponsorship Exam]
Answer: (d) Newton/metre² (Pascal) is the unit of Pressure.
The unit of surface tension in SI system is
(a) Dyne/cm²
(b) Newton/m
(c) Dyne/cm
(d) Newton/m²
[IMU CET 2019]
Answer: (b)
Surface tension = Force / Length = Newtons/metre
The unit of reduction factor of tangent galvanometer is
(a) Ampere
(b) Gauss
(c) Radian
(d) None of these
[DNS Sponsorship Exam]
Answer: (a)
The unit of the reduction factor (K) of a tangent galvanometer is Ampere (A). It is defined as the current required to produce a deflection of 45o in the galvanometer, making its unit the same as that of electric current. The formula is I = k tanθ, where K is the reduction factor.
The unit of self-inductance of a coil is
(a) Farad
(b) Henry
(c) Weber
(d) Tesla
[IMU CET 2018]
Answer: (b)
$L = \phi / I = \text{Wb} / \text{A} = $ Henry.
Henry/ohm can be expressed in
(a) Second
(b) Coulomb
(c) Mho
(d) Metre
[IMU CET 2023]
Answer: (a)
$L/R$ is a time constant of L-R circuit so Henry/ohm can be expressed as second.
The SI unit of momentum is
(a) kg/m
(b) kg.m/sec
(c) kg.m²/sec
(d) kg × Newton
[DNS Sponsorship Exam]
Answer: (b)
$mv = \text{kg (m/sec)}$
The velocity of a particle depends upon as $v = a + bt + ct^2$; if the velocity is in m/sec, the unit of a will be
(a) m/sec
(b) m/sec²
(c) m²/sec
(d) m/sec³
[DNS Sponsorship Exam]
Answer: (a)
Quantities of similar dimensions can be added or subtracted so unit of $a$ will be same as that of velocity.
One million electron volt (1 MeV) is equal to
(a) $10^5$ eV
(b) $10^6$ eV
(c) $10^4$ eV
(d) $10^7$ eV
[DNS Sponsorship Exam]
Answer: (b)
1 MeV = $10^6$ eV
Erg-m⁻¹ can be the unit of measure for
(a) Force
(b) Momentum
(c) Power
(d) Acceleration
[IMU CET 2019]
Answer: (a)
Energy (E) = $F \times d$
⇒ $F = E / d$
so Erg/metre can be the unit of force.
The unit of potential energy is
(a) g(cm/sec²)
(b) g(cm/sec)²
(c) g(cm²/sec)
(d) g(cm/sec)
[IMU CET 2017]
Answer: (b)
Potential energy = $mgh = g (\text{cm/sec}^2) \times m = g (\text{cm/sec})^2$
Which of the following represents a volt
(a) Joule/second
(b) Watt/Ampere
(c) Watt/Coulomb
(d) Coulomb/Joule
[IMU CET 2015]
Answer: (b) watt / ampere = volt
Kilowatt-hour is a unit of
(a) Electrical charge
(b) Energy
(c) Power
(d) Force
[IMU CET 2011]
Answer: (b)
Kilowatt-hour is a unit of Energy
What is the SI unit of permeability
(a) Henry per metre
(b) Tesla metre per ampere
(c) Weber per ampere metre
(d) All the above units are correct
[IMU CET 2015]
Answer: (d)
In which of the following systems of unit, Weber is the unit of magnetic flux
(a) CGS
(b) MKS
(c) SI
(d) None of these
[IMU CET 2012]
Answer: (c)
Tesla is a unit for measuring
(a) Magnetic moment
(b) Magnetic induction
(c) Magnetic intensity
(d) Magnetic pole strength
[IMU CET 2016]
Answer: (b)
If the unit of length and force be increased four times, then the unit of energy is
(a) Increased 4 times
(b) Increased 8 times
(c) Increased 16 times
(d) Decreased 16 times
[IMU CET 2018]
Answer: (c)
Energy = force × distance, so if both are increased by 4 times then energy will increase by 16 times.
Oersted is a unit of
(a) Dip
(b) Magnetic intensity
(c) Magnetic moment
(d) Pole strength
[DNS Sponsorship Exam]
Answer: (b)
1 Oersted = 1 Gauss = $10^{-4}$ Tesla
Ampere-hour is a unit of
(a) Quantity of electricity
(b) Strength of electric current
(c) Power
(d) Energy
[DNS Sponsorship Exam]
Answer: (a) Charge = current × time
The unit of specific resistance is
(a) Ohm/cm²
(b) Ohm/cm
(c) Ohm-cm
(d) (Ohm-cm)⁻¹
[DNS Sponsorship Exam]
Answer: (c)
$R = \rho L / A$
⇒ $\rho = R A / L = \text{ohm} \times \text{cm}$
The binding energy of a nucleus is of the order of a few
(a) eV
(b) Ergs
(c) MeV
(d) Volts
[DNS Sponsorship Exam]
Answer: (c)
Parsec is a unit of
(a) Distance
(b) Velocity
(c) Time
(d) Angle
[DNS Sponsorship Exam]
Answer: (a)
Parsec unit of distance.
If $u_1$ and $u_2$ are the units selected in two systems of measurement and $n_1$ and $n_2$ their numerical values, then
(a) $n_1 u_1 = n_2 u_2$
(b) $n_1 u_1 + n_2 u_2 = 0$
(c) $n_1 n_2 = u_1 u_2$
(d) $(n_1 + u_1) = (n_2 + u_2)$
[DNS Sponsorship Exam]
Answer: (a)
Physical quantity (p) = Numerical value (n) × Unit (u)
If physical quantity remains constant then $n \propto 1/u$
∴ $n u = n u$
1 eV is
(a) Same as one joule
(b) $1.6 \times 10^{-19}$ J
(c) 1 V
(d) $1.6 \times 10^{-19}$ C
[DNS Sponsorship Exam]
Answer: (b)
1 eV = $1.6 \times 10^{-19}$ coulomb × 1 volt = $1.6 \times 10^{-19}$ J.
$1 kWh =$
(a) 1000 W
(b) $36 \times 10^5$ J
(c) 1000 J
(d) 3600 J
[DNS Sponsorship Exam]
Answer: (b)
1 kWh = $1 \times 10^3 \times 3600$ W × sec = $36 \times 10^5$ J
Universal time is based on
(a) Rotation of the earth on its axis
(b) Earth’s orbital motion around the earth
(c) Vibrations of cesium atom
(d) Oscillations of quartz crystal
[DNS Sponsorship Exam]
Answer: (c) According to the definition.
Modern universal time—specifically Coordinated Universal Time (UTC) and the SI definition of a second—is based on the vibrations of the cesium-133 atom. One second is defined as exactly 9,192,631,770 cycles of radiation corresponding to the transition between two hyperfine levels of the ground state of the cesium-133 atom.
The nuclear cross-section is measured in barn, it is equal to
(a) $10^{-20}$ m²
(b) $10^{-30}$ m²
(c) $10^{-28}$ m²
(d) $10^{-14}$ m²
[DNS Sponsorship Exam]
Answer: (c)
Unit of moment of inertia in MKS system
(a) kg × cm²
(b) kg/cm²
(c) kg × m²
(d) Joule × m
[IMU CET 2017]
Answer: (c)
As $I = MR^2 = \text{kg – m}^2$
Unit of stress is
(a) N/m
(b) N-m
(c) N/m²
(d) N-m²
[IMU CET 2012]
Answer: (c)
Stress = Force / Area = N/m²
Unit of Stefan’s constant is
(a) J s⁻¹
(b) J m⁻² s⁻¹ K⁻⁴
(c) J m⁻²
(d) J s
[IMU CET 2023]
Answer: (b)
$Q / t = \sigma A T^4$
⇒ $\sigma = \text{J m}^{-2} \text{s}^{-1} \text{K}^{-4}$
Unit of magnetic moment is
(a) Ampere-metre²
(b) Ampere-metre
(c) Weber-metre²
(d) Weber/metre
[IMU CET 2025]
Answer: (a)
$M =$ Pole strength × length = amp-metre × metre = amp-metre²
Curie is a unit of
(a) Energy of γ-rays
(b) Half life
(c) Radioactivity
(d) Intensity of γ-rays
[IMU CET 2024]
Answer: (c)
Curie = disintegration/second
Hertz is the unit for
(a) Frequency
(b) Force
(c) Electric charge
(d) Magnetic flux
Answer: (a)
One pico Farad is equal to
(a) $10^{-24}$ F
(b) $10^{-18}$ F
(c) $10^{-12}$ F
(d) $10^{-6}$ F
[DNS Sponsorship Exam]
Answer: (c)
Pico prefix used for $10^{-12}$
In SI, Henry is the unit of
(a) Self inductance
(b) Mutual inductance
(c) (a) and (b) both
(d) None of the above
[DNS Sponsorship Exam]
Answer: (c)
The unit of e.m.f. is
(a) Joule
(b) joule-Coulomb
(c) Volt-Coulomb
(d) joule/Coulomb
[DNS Sponsorship Exam]
Answer: (d)
Unit of e.m.f. = volt = $joule/coulomb$
Which of the following is not the unit of time
(a) Micro second
(b) Leap year
(c) Lunar months
(d) Parallactic second
(e) Solar day
[GME Sponsorship Exam]
Answer: (d)
Unit of self inductance is
(a) $\frac{\text{Newton – second}}{\text{Coulomb} \times \text{Ampere}}$
(b) $\frac{\text{Joule/Coulomb} \times \text{Second}}{\text{Ampere}}$
(c) $\frac{\text{Volt} \times \text{metre}}{\text{Coulomb}}$
(d) $\frac{\text{Newton} \times \text{metre}}{\text{Ampere}}$
[GME Sponsorship Exam]
Answer: (b)
E = – L dI/dt => L = -Edt/dI
$\frac{\text{Joule/Coulomb} \times \text{Second}}{\text{Ampere}}$
To determine the Young’s modulus of a wire, the formula is $Y = \frac{F}{A} \times \frac{L}{\Delta L}$; where $L$ = length, $A$ = area of cross-section of the wire, $\Delta L$ = change in length of the wire when stretched with a force $F$. The conversion factor to change it from CGS to MKS system is
(a) 1
(b) 10
(c) 0.1
(d) 0.01
[GME Sponsorship Exam]
Answer: (c)
$$ Y = \frac{F}{A} \cdot \frac{L}{\Delta L} = \frac{\text{dyne}}{\text{cm}^2} = \frac{10^{-5} \, \text{N}}{10^{-4} \, \text{m}^2} = 0.1 \, \text{N/m}^2 $$
Young’s modulus of a material has the same units as
(a) Pressure
(b) Strain
(c) Compressibility
(d) Force
[IMU CET 2021]
Answer: (a)
$$ Y = \frac{\text{Stress}}{\text{Strain}} = \frac{\text{Force/Area}}{\text{Dimensionless}} \Rightarrow Y = \text{Pressure} $$
Which of the following is smallest unit
(a) Millimetre
(b) Angstrom
(c) Fermi
(d) Metre
[DNS Sponsorship Exam]
Answer: (c)
1 fermi = $10^{-15}$ metre
Which one of the following pairs of quantities and their units is a proper match
(a) Electric field – Coulomb / m
(b) Magnetic flux – Weber
(c) Power – Farad
(d) Capacitance – Henry
[DNS Sponsorship Exam]
Answer: (b)
The units of modulus of rigidity are
(a) N-m
(b) N/m
(c) N-m²
(d) N/m²
[DNS Sponsorship Exam]
Answer: (d)
modulus of rigidity = stress/strain
The unit of absolute permittivity is
(a) Fm (Farad-meter)
(b) Fm⁻¹ (Farad/meter)
(c) Fm⁻² (Farad/metre²)
(d) F (Farad)
(e) None of these
[IMU CET 2018]
Answer: (b)
Which relation is wrong
(a) 1 Calorie = 4.18 Joules
(b) 1 Å = $10^{-10}$ m
(c) 1 MeV = $1.6 \times 10^{-13}$ Joules
(d) 1 Newton = $10^{-5}$ Dynes
[DNS Sponsorship Exam]
Answer: (d)
1 Newton = $10^5$ Dyne
If $x = at + bt^2$, where $x$ is the distance travelled by the body in kilometres while $t$ is the time in seconds, then the units of $b$ are
(a) km/s
(b) km-s
(c) km/s²
(d) km-s²
[DNS Sponsorship Exam]
Answer: (c)
$$ [x] = b[t^2] \Rightarrow [b] = [x / t^2] = \text{km/s}^2 $$
The equation $\left(P + \frac{a}{V^2}\right) (V-b)$ = constant. The units of $a$ are
(a) Dyne × cm⁵
(b) Dyne × cm⁴
(c) Dyne/cm³
(d) Dyne/cm²
[DNS Sponsorship Exam]
Answer: (b)
Units of $a$ and $PV^2$ are same and equal to Dyne × cm⁴.
Which of the following quantity is expressed as force per unit area
(a) Work
(b) Pressure
(c) Volume
(d) Area
[DNS Sponsorship Exam]
Answer: (b)
Unit of impulse is
(a) Newton
(b) kg-m
(c) kg-m/s
(d) Joule
[DNS Sponsorship Exam]
Answer: (c)
Impulse = Force × time = $(\text{kg-m/s}^2) \times s = \text{kg-m/s}$
Which is not a unit of electric field
(a) NC⁻¹
(b) Vm⁻¹
(c) JC⁻¹
(d) JC⁻¹m⁻¹
[GME Sponsorship Exam]
Answer: (c)
The correct value of 0° C on the Kelvin scale is
(a) 273.15 K
(b) 272.85 K
(c) 273 K
(d) 273.2 K
[GME Sponsorship Exam]
Answer: (a)
$$ K = ^\circ\text{C} + 273.15 $$
“Torr” is the unit of
(a) Pressure
(b) Volume
(c) Density
(d) Flux
[DNS Sponsorship Exam]
Answer: (a)
Which of the following is a derived unit
(a) Unit of mass
(b) Unit of length
(c) Unit of time
(d) Unit of volume
[DNS Sponsorship Exam]
Answer: (d)
Dyne/cm is not a unit of
(a) Pressure
(b) Stress
(c) Strain
(d) Young’s modulus
[DNS Sponsorship Exam]
Answer: (c)
The units of angular momentum are
(a) kg-m²/s²
(b) Joule-s
(c) Joule/s
(d) kg-m-s²
[DNS Sponsorship Exam]
Answer: (b)
Which of the following is not the unit of energy
(a) Calorie
(b) Joule
(c) Electron volt
(d) Watt
[DNS Sponsorship Exam]
Answer: (d)
Watt is a unit of power
Which of the following is not a unit of time
(a) Leap year
(b) Micro second
(c) Lunar month
(d) Light year
[DNS Sponsorship Exam]
Answer: (d)
1 lightyear = $9.46 \times 10^{15}$ meter
The S.I. unit of gravitational potential is
(a) J
(b) J-kg⁻¹
(c) J-kg
(d) J-kg⁻²
[IMU CET 2015]
Answer: (b)
$$ V = \frac{W}{m} $$ so, SI unit = $\frac{\text{Joule}}{\text{kg}}$
Which one of the following is not a unit of young’s modulus
(a) N/m²
(b) Nm⁻²
(c) Dyne cm⁻²
(d) Mega Pascal
[IMU CET 2013]
Answer: (a)
In C.G.S. system the magnitude of the force is 100 dynes. In another system where the fundamental physical quantities are kilogram, metre and minute, the magnitude of the force is
(a) 0.036
(b) 0.36
(c) 3.6
(d) 36
[IMU CET 2025]
Answer: (c)
$$ n_2 = n_1 \left( \frac{M_1}{M_2} \right)^{1/2} \left( \frac{L_1}{L_2} \right)^{1/2} \left( \frac{T_1}{T_2} \right)^{1/2} $$
$$ = 100 \left( \frac{\text{gm}}{\text{kg}} \right)^{1/2} \left( \frac{\text{cm}}{\text{m}} \right)^{1/2} \left( \frac{\text{sec}}{\text{min}} \right)^{1/2} $$
$$ = 100 \left( \frac{\text{gm}}{10^3 \text{gm}} \right)^{1/2} \left( \frac{\text{cm}}{10^2 \text{cm}} \right)^{1/2} \left( \frac{\text{sec}}{60 \text{sec}} \right)^{1/2} $$
$$ n_r = \frac{3600}{10^3 \times 10^2 \times 60} = 3.6 $$
The unit of $L/R$ is (where $L$ = inductance and $R$ = resistance)
(a) sec
(b) sec⁻¹
(c) Volt
(d) Ampere
[IMU CET 2025]
Answer: (a)
$[L/R]$ is a time constant so its unit is Second.
Which is different from others by units
(a) Phase difference
(b) Mechanical equivalent
(c) Loudness of sound
(d) Poisson’s ratio
[IMU CET 2021]
Answer: (d)
Poisson ratio is a unitless quantity.
Length cannot be measured by
(a) Fermi
(b) Debye
(c) Micron
(d) Light year
[IMU CET 2021]
Answer: (b)
The value of Planck’s constant is
(a) $6.63 \times 10^{-34}$ J-sec
(b) $6.63 \times 10^{34}$ J/sec
(c) $6.63 \times 10^{-34}$ kg-m²
(d) $6.63 \times 10^{34}$ kg/sec
[DNS Sponsorship Exam]
Answer: (a)
A physical quantity is measured and its value is found to be $nu$ where $n$ = numerical value and $u$ = unit. Then which of the following relations is true
(a) $n \propto u^2$
(b) $n \propto u$
(c) $n \propto \sqrt{u}$
(d) $n \propto \frac{1}{u}$
[DNS Sponsorship Exam]
Answer: (d)
$$ P = nu \quad \therefore n \propto \frac{1}{u} $$
Candela is the unit of
(a) Electric intensity
(b) Luminous intensity
(c) Sound intensity
(d) None of these
[DNS Sponsorship Exam]
Answer: (b)
The unit of reactance is
(a) Ohm
(b) Volt
(c) Mho
(d) Newton
[GME Sponsorship Exam]
Answer: (a)
The SI unit for reactance is the Ohm, the same unit used for resistance and impedance. It represents the opposition to alternating current flow caused by inductance or capacitance. Reactance varies with frequency and is expressed in ohms regardless of whether it is inductive or capacitive reactance.
The unit of Planck’s constant is
(a) Joule
(b) Joule/s
(c) Joule/m
(d) Joule-s
[DNS Sponsorship Exam]
Answer: (d)
Number of base SI units is
(a) 4
(b) 7
(c) 3
(d) 5
[DNS Sponsorship Exam]
Answer: (b)
SI unit of permittivity is
(a) C²m⁻²N⁻¹
(b) C⁻¹m²N⁻²
(c) C²m²N²
(d) C²m⁻²N⁻¹
[IMU CET 2020]
Answer: (d)
$$ F = \frac{1}{4\pi \epsilon_0} \frac{q_1 q_2}{r^2} \Rightarrow \epsilon_0 = \frac{1}{4\pi} \frac{q_1 q_2}{F r^2} = \text{C}^2 \text{m}^{-2} \text{N}^{-1} $$
Which does not has the same unit as others
(a) Watt-sec
(b) Kilowatt-hour
(c) eV
(d) J-sec
[IMU CET 2020]
Answer: (d)
Joule-sec is the unit of angular momentum whereas other units are of energy.
Unit of surface tension is
(a) Nm⁻¹
(b) Nm⁻²
(c) N²m⁻¹
(d) Nm⁻³
[DNS Sponsorship Exam]
Answer: (a)
$$ T = \frac{F}{l} = \text{N m}^{-1} $$
Which of the following system of units is not based on units of mass, length and time alone
(a) SI
(b) MKS
(c) FPS
(d) CGS
[DNS Sponsorship Exam]
Answer: (a)
Because in SI system there are seven fundamental quantities.
The unit of the coefficient of viscosity in S.I. system is
(a) m/kg-s
(b) m-s/kg²
(c) kg/m-s²
(d) kg/m-s
[IMU CET 2017]
Answer: (d)
$$ [\eta] = \text{ML}^{-1}\text{T}^{-1} $$ so its unit will be kg/m-sec.
The unit of Young’s modulus is
(a) Nm²
(b) Nm⁻²
(c) Nm
(d) Nm⁻¹
[DNS Sponsorship Exam]
Answer: (b)
One femtometer is equivalent to
(a) $10^{15}$ m
(b) $10^{-15}$ m
(c) $10^{-12}$ m
(d) $10^{12}$ m
[DNS Sponsorship Exam]
Answer: (b)
How many wavelength of Kα⁸⁶ are there in one metre
(a) 1553164.13
(b) 1650763.73
(c) 65289.63
(d) 2348123.73
[GME Sponsorship Exam]
Answer: (b)
There are exactly 1,650,763.73 wavelengths of the orange-red emission line of Krypton-86 in one metre.
Which of the following pairs is wrong
(a) Pressure-Barometer
(b) Relative density-Pyrometer
(c) Temperature-Thermometer
(d) Earthquake-Seismograph
[GME Sponsorship Exam]
Answer: (b)
Pyrometer is used for measurement of temperature.
FAQs – IMU CET Merchant Navy Sponsorship Exam (DNS and GME) MCQs (PYQs) – Units and Measurements
Q1. Why are Units and Measurements important for IMU CET?
Units and Measurements is a fundamental chapter in Class 11 Physics and plays a key role in solving numerical and conceptual questions in IMU CET. A strong understanding helps in accuracy and faster problem-solving.
Q2. What types of questions are asked from this chapter in IMU CET?
Questions are mainly based on SI units, dimensional analysis, significant figures, and error analysis. MCQs often test both concepts and calculations.
Q3. Are previous year questions (PYQs) useful for preparation?
Yes, PYQs are extremely useful as they help you understand the exam pattern, difficulty level, and important topics frequently asked in IMU CET.
Q4. How can I improve accuracy in Units and Measurements MCQs?
Focus on concept clarity, practice dimensional formulas, revise SI units regularly, and solve multiple MCQs to reduce calculation errors.
Q5. Is Class 11 Physics theory enough for this chapter?
Yes, Class 11 theory provides the complete foundation. However, regular practice of MCQs and PYQs is necessary for exam-oriented preparation.
Q6. What is the best strategy to prepare this chapter for IMU CET?
Start with theory, make short notes of formulas and units, practice PYQs, and take mock tests to improve speed and confidence.
Q7. Do numerical questions come from error analysis and significant figures?
Yes, numerical-based MCQs are frequently asked from error analysis and significant figures, so regular practice is essential.
Q8. How much weightage does this chapter carry in IMU CET?
While exact weightage may vary, Units and Measurements is a high-priority topic as it supports many other chapters in Physics.
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