JEE Questions for Physics Units And Measurements Quiz 1 - MCQExams.com

The unit of angular acceleration in the SI system is
  • N kg-1
  • ms-1
  • rad s-2
  • m kg-1 K
The dimensions of gravitational constant G and the moment of inertia are, respectively
  • [ML3 T-2 ], [ML2 T0 ]
  • [M-1L3 T-2 ], [ML2 T0 ]
  • [M-1L3 T-2 ], [M-1 L2 T ]
  • [ML3 T-2 ], [M-1L2 T ]
Range of weak nuclear force is ...............
  • 10–15 km
  • 10–14 km
  • 10–18 km
  • 10–20 km
If C be the capacitance and V be the electric potential, then the dimensional formula of CV2 is
  • [ML-3 TA]
  • [M0 LT-2A0]
  • [ML1 T-2 A-1 ]
  • [ML2 T-2 A0 ]
If F denotes force and t time, then in equation F = at-1 + bt 2 , the dimensions of a and b, respectively are
  • [LT-4 ] and [LT-1 ]
  • [LT-1 ] and [LT-4 ]
  • [MLT-4 ] and [MLT-1 ]
  • [MLT-1 ] and [MLT-4 ]
  • [MLT-3 ] and [MLT-2 ]
Strong nuclear force close not exist on ...............
  • Proton
  • nuclear
  • neutron
  • electron

Physics-Units and Measurements-92984.png
  • current
  • resistance
  • charge
  • voltage
Resistance of a given wire is obtained by measuring the current flowing in it and the voltage difference applied across it. If the percentage errors in the measurement of the current and the voltage difference are 3% each, then error in the value of resistance of the wire is
  • 6%
  • zero
  • 1%
  • 3%

Physics-Units and Measurements-93071.png
  • [ML2 T-2], [ML-1/3]
  • [M2L4T-2 ], [M1/3L-1]
  • [M1/3L-1], [M2L-2T-2 ]
  • [M2 L-2 T-2 ], [ML-3 ]
The percentage errors in the measurement of length and time period of a simple pendulum are 1% and 2% respectively. Then, the maximum error in the measurement of acceleration due to gravity is
  • 8%
  • 3%
  • 4%
  • 6%
  • 5%
The length of a simple pendulum is about 100 cm known to an accuracy of 1 mm. Its period of oscillation is 2s determined by measuring the time for 100 oscillations using a clock of 0.1 s resolution. What is the accuracy in the determined value of g ?
  • 0.2%
  • 0.5%
  • 0.1%
  • 2%

Physics-Units and Measurements-92989.png

  • Physics-Units and Measurements-92990.png
  • 2)
    Physics-Units and Measurements-92991.png

  • Physics-Units and Measurements-92992.png

  • Physics-Units and Measurements-92993.png

Physics-Units and Measurements-92995.png
  • 4
  • 2
  • 1
  • 6.8

Physics-Units and Measurements-92996.png

  • Physics-Units and Measurements-92997.png
  • 2)
    Physics-Units and Measurements-92998.png

  • Physics-Units and Measurements-92999.png

  • Physics-Units and Measurements-93000.png

Physics-Units and Measurements-93002.png

  • Physics-Units and Measurements-93003.png
  • 2)
    Physics-Units and Measurements-93004.png

  • Physics-Units and Measurements-93005.png

  • Physics-Units and Measurements-93006.png
Which one of the following is not a fundamental SI unit?
  • ampere
  • candela
  • newton
  • kelvin
The physical quantity which is not a unit of energy is
  • volt-coulomb
  • MeV–s
  • henry (ampere)2
  • farad–(volt)2
The unit of Wien's constant b is
  • Wm-2K-4
  • m-1K-1
  • Wm2
  • mk
The unit of Stefan's constant is
  • Wm-2 K-1
  • Wm K-4
  • Wm-2 K-4
  • Nm-2 K-4
Ampere–hour is the unit of
  • quantity of charge
  • potential
  • energy
  • current
Which of the following set have different dimensions?
  • Pressure, Young’s modulus , Stress
  • EMF, Potential difference, Electric potential
  • Heat, Work done, Energy
  • Dipole moment, Electric flux, Electric field
In a screw gauge, the zero of mainscale coincides with fifth division of circular scale in figure (i). The circular division of screw gauge are 50. It moves 0.5 mm on main scale in one rotation. The diameter of the ball in figure (ii) is
Physics-Units and Measurements-93011.png
  • 2.25 mm
  • 2.20 mm
  • 1.20 mm
  • 1.25 mm
The dimensional formula for inductance is
  • [M L2 T -2 A-2]
  • [M L2 T A-2]
  • [M L2 T -1 A-2]
  • [M L2 T -2 A-1]
The dimensions of potential are the same as that of
  • work
  • electric field per unit charge
  • work per unit charge
  • force per unit charge
The dimensions of resistance are same as those of ..., where h is the Planck's constant and e is the charge.

  • Physics-Units and Measurements-93014.png
  • 2)
    Physics-Units and Measurements-93015.png

  • Physics-Units and Measurements-93016.png

  • Physics-Units and Measurements-93017.png
The dimensional formula for the magnetic field is
  • [MT-2 A-1 ]
  • [ML2T-1 A-2 ]
  • [MT-2 A-2 ]
  • [MT-1 A-2 ]
A student performs an experiment to determine the Young's modulus of a wire, exactly 2 m long, by Searle's method. In a particular reading, the student measures the extension in the length of the wire to be 0.8 mm with an uncertainty of ± 0.05 mm at a load of exactly 1.0 kg. The student also measures the diameter of the wire to be 0.4 mm with an uncertainty of ± 0.01 mm. Take g = 9.8 m/s2 (exact). The Young's modulus obtained from the reading is
  • (2.0 ± 0.× 1011 N/m2
  • (2.0 ± 0.× 1011 N/m2
  • (2.0 ± 0.× 1011 N/m2
  • (2.0 ± 0.× 1011 N/m2
The dimensional formula of modulus of rigidity ( η ) is
  • [ML-2 T-2 ]
  • [ML-3 T-2 ]
  • [ML2 T-2 ]
  • [ML-1 T-2 ]
Dimensional formula of Stefan's constant is
  • [MT -3 K -4 ]
  • [ML2T-2 K-4 ]
  • [ML2T-2 ]
  • [MT -2 L0 ]
  • [MT -4 L0 ]
Which physical quantities have same dimensions?
  • Force and power
  • Torque and energy
  • Torque and power
  • Force and torque

Physics-Units and Measurements-93024.png
  • electrical resistance
  • electric charge
  • electric voltage
  • electric current
R, L and C represent the physical quantities resistance, inductance and capacitance, respectively. Which one of the following combination has dimension of frequency?

  • Physics-Units and Measurements-93026.png
  • 2)
    Physics-Units and Measurements-93027.png

  • Physics-Units and Measurements-93028.png

  • Physics-Units and Measurements-93029.png
Which one of the following pair of quantities has same dimension?
  • Force and workdone
  • Momentum and impulse
  • Pressure and force
  • Surface tension and stress
The dimensions of magnetic field in M, L, T and C (coulomb) is given as
  • [MLT -1 C -1 ]
  • [MT 2 C -2 ]
  • [MT -1 C -1 ]
  • [MT -2 C -1 ]
The dimensions of coefficient of self-inductance are
  • [ML2 T -2 A -2]
  • [ML2 T -2 A -1]
  • [MLT -2 A -2]
  • [MLT -2 A -2]
The dimensions of electric dipole moment are
  • [L2I ]
  • [LI]
  • [LTI]
  • [ T -2]
The dimensions of Planck's constant is same as that of
  • angular momentum
  • linear momentum
  • work
  • coefficient of viscosity
The physical quantity having the dimensions [M -1 L -3 T3 A2 ] is
  • resistance
  • resistivity
  • electrical conductivity
  • electromotive force
The physical quantities not having same dimensions are
  • torque and work
  • momentum and Planck's constant
  • stress and Young's modulus

  • Physics-Units and Measurements-93036.png
The dimensional formula for impulse is
  • [MLT -1 ]
  • [ML -1 T ]
  • {M -1 L T -1 ]
  • {M L -1 T -1 ]
The physical quantity angular momentum has the same dimensions as that of
  • work
  • force
  • momentum
  • torque
  • Planck's constant
The modulus of elasticity is dimensionally equivalent to
  • strain
  • force
  • stress
  • coefficient of viscosity
Out of the following pairs, which one does not have identical dimensions?
  • Angular momentum and Planck's constant
  • Impulse and momentum
  • Moment of inertia and moment of a force
  • Work and torque
A student measured the length of a rod and wrote it as 3.50 cm. Which instrument did he use to measure it?
  • A meter scale
  • A vernier calliper where the 10 division in vernier scale matches with 9 division in main scale and main scale has 10 division in 1 cm
  • A screw gauge having 100 divisions in the circular scale and pitch as 1 mm
  • A screw gauge having 50 divisions in the circular scale and pitch 1 mm
The diameter of a cylinder is measured using a vernier callipers with no zero error. It is found that the zero of the vernier scale lies between 5.10 cm and 5.15 cm of the main scale. The vernier scale has 50 division equivalent to 2.45 cm. The 24th division of the vernier scale exactly coincides with one of the main scale divisions. The diameter of the cylinder is
  • 5.112 cm
  • 5.124 cm
  • 5.136 cm
  • 5.148 cm
The number of significant figures in the numbers 4.8000×104 and 48000.50 are respectively.
  • 5 and 6
  • 5 and 7
  • 2 and 7
  • 2 and 6
A spectrometer gives the following reading when used to measure the angle of a prism.
Main scale reading 58.5 degree.
Vernier scale reading 9 division.
Given that, I division on main scale corresponds to 0.5 degree. Total division on the vernier scale is 30 and match with 29 divisions of the main scale. The angle of the prism from the above data is
  • 58.59°
  • 59.77°
  • 58.65°
  • 59°
In a slide calliper, ( m +1 ) number of vernier divisions is equal to m number of smallest main scale divisions. If d unit is the magnitude of the smallest main scale division, then the magnitude of the vernier constant is
  • d / ( m + 1 ) unit
  • d / m unit
  • md / ( m + 1 ) unit
  • ( m + 1 )d/m unit
The density of a solid ball is to be determined in an experiment. The diameter of the ball is measured with a screw gauge, whose pitch is 0.5 mm and there are 50 divisions on the circular scale. The reading on the main scale is 2.5 mm and that on the circular scale is 20 divisions. If the measured mass of the ball has a relative error of 2%, the relative percentage error in the density is
  • 0.9%
  • 2.4%
  • 3.1%
  • 4.2%
A screw gauge gives the following reading when used to measure the diameter of a wire.
Main scale reading : 0 mm
Circular scale reading : 52 divisions
Given that, 1 mm on main scale corresponds to 100 divisions of the circular scale.
The diameter of wire from the above data is
  • 0.052 cm
  • 0.026 cm
  • 0.005 cm
  • 0.52 cm
0:0:1


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