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Q 1. Which of the following quantities is not
dimensionless ?
(a) Reynold’s number
(b) Strain
(c) Angle
(d)
Radius of gyration
Q 2. Which of the following pairs have same
dimensions?
(a) Torque and work
(b) Angular Momentum and
work
(c) Energy and Young’s modulus
(d) Light year and wavelength
Q 3. Which of the following physical quantities
has neither dimensions nor unit?
(a) Angle
(b)
Luminous intensity
(c) Coefficient of friction
(d)
Current
Q 4. Which of the following is dimensionally
correct?
(a) Specific heat = joule per
kilogram kelvin
(b) Specific heat = Newton
(c) Specific heat = joule per kelvin
(d) None of the above
Q 5. If 
where v is velocity, t is time A, B and C are
where v is velocity, t is time A, B and C are
constant then
the dimensional formula of B is :
(a) [ M0 LT0]
(b) [ ML0 T0]
(c) [ M0 L0
T0]
(d) [ M0
LT-3]
Q 6. Which of the following is not correct for
dimensionless quantity ?
(a) It does not exist
(b)
It always has a unit
(c) It never has unit
(d)
It may have a unit
Q 7. Taking density (p), velocity (v) and area
(a) to be fundamental unit
the dimensions of force are:
(a) [av2p]
(b) [a2vp]
(c) [avp2]
(d) [a0vp]
Q 8. The dimensions of radian per second are :
(a) [M0L0T0]
(b) [M0L0T]
(c) [M0L0T-1]
(d) none of these
Q 9. The dimensional representation of
gravitational potential is identical to that of :
(a) internal energy
(b)
angular momentum
(c) latent heat
(d) electric
potential
Q 10. The volume of cube is equal to surface area
of the cube. The volume of cube is :
(a) 216 units
(b) 512 units
(c) 64 units
(d) none of these
Q 11. The dimensional formula of compressibility is
:
(a) [M0L-1T-1]
(b) [M-1LT2]
(c) [MLT-2]
(d) none of these
Q 12. Velocity gradient has same dimensional
formula as :
(a) angular frequency
(b)
angular momentum
(c) velocity
(d)
none of these
Q 13. An atmosphere :
(a) is a unit of pressure
(b) is a unit of force
(c) gives an idea of the composition of air
(d) is the height above which there is no atmosphere
Q 14. The dimensional formula of Reynold’s number
is :
(a)
[M L T ]
(b) [M0
L0 T ]
(c) [M0 L0 T0 ]
(d) none of these
Q 15. The dimensions of time constant are :
(a)
[M0 L0 T0 ]
(b)
[M0L0 T ]
(c) [M L T ]
(d)
none of these
Q 16. The dimensions of self – inductance are :
(a)
[M L T-2A-2 ]
(b)
[M L2 T-1A-2 ]
(c)
[M L2 T-2A-2 ]
(d)
[M L2 T-2A2 ]
Q 17. State which of the following is correct :
(a) joule = coulomb × volt
(b) joule =
coulomb / volt
(c) joule = volt + coulomb
(d) joule = volt /
coulomb
Q 18. The dimensional formula of electrical
conductivity is :
(a)
[M-1 L-3 T3 A2 ]
(b) [M L3 T3 A2
]
(c) [M2 L3 T-3 A2
]
(d)
[M L3 T-3 A-2]
Q 19. Which of the following pair has same
dimensions ?
(a) Current density and charge
density
(b) Angular momentum and
momentum
(c) Spring constant and surface
energy
(d) Force and torque
Q 20. The dimensional formula of the Hall
coefficient is :
(a)
[M0 L0 A-2 T-1 ]
(b) [M0 L3 A ]
(c)
[M0 L0 AT ]
(d) [M0 L3 A-1T
]
Q 21. The
equation of alternating current I = I0e-t/CR, where t is
time,
C is capacitance and R is resistance of coil, then the dimensions of CR
is :
(a) [M L T-1 ]
(b) [M0
L T ]
(c) [M0 L0
T ]
(d)
none of these
Q 22. The dimensional formula of radius of gyration
is :
(a)
[M0 L0 T0 ]
(b) [M0 L0 T ]
(c)
[M0 L T0 ]
(d)
none of these
Q 23. Universal time is based on :
(a) rotation of earth on its axis
(b) oscillation of quartz
crystal
(c) vibration of caesium atom
(d) earth’s orbital
motion around the sun
Q 24. In the equation y = a sin (wt + kx), the dimensional formula of w is :
(a)
[M0 L0 T-1 ]
(b) [M0 L T-1 ]
(c)
[M L0 T0 ]
(d)
[M0 L-1 T0 ]
Q 25. Farad is not equivalent to :
(a) q/V
(b) qV2
(c)
q2/J
(d)
I/V2
Q 26. If P
represents radiation pressure, C represents speed of light and Q represents
radiation energy striking a unit area per second then non zero integers a, b
and c such that PaQbCc is dimensionless, are :
(a) a = 1, b = 1, c = -1
(b) a = 1, b = -1, c = 1
(c) a = -1, b = 1, c = -1
(d) a = 1, b = 1, c = 1
Q 27. Taking
frequency f, velocity v and density p to be the fundamental quantities then the
dimensional formula for momentum will be :
(a) pv4f-3
(b)
pv3f-1
(c)
pvf2
(d)
p2v2f2
Q 28. The
amount of water in slug containing by a cylindrical vessel of length 10 cm and
cross-sectional radius 5 cm is (The density of water is 1000 kg/m3)
(a) 157 × 10-3 slug
(b) 53.76 × 10-3 slug
(c) 10.7 slug
(d) 14.6 slug
Q 29. The
capacity of a vessel is 5700 m3. The vessel is filled with water.
Suppose that it takes 12 hours to drain the vessel. What is the mass flow rate
of water from the vessel ? [The density of water is 1 g/cm3]
(a) 132 kg/s
(b) 100 kg/s
(c)
32 kg/s
(d) 152 kg/s
Q 30. The height of the building is 50 ft. The
same in millimeter is :
(a) 560 mm
(b)
285 mm
(c) 1786.8 mm
(d) 15240 mm
Q 31. The
name of the nearest star is proxima centauri. The distance of this start from
Earth is 4 × 1016 m. The distance of this star from Earth in mile is
:
(a) 3.5 × 1013 mile
(b) 2.5× 1013 mile
(c) 5.3× 1013 mile
(d) 1.5× 1013 mile
Q 32. The
radius of hydrogen atom in ground state is 5×10-11 m. The radius of
hydrogen atom in Fermi metre is (1 fm = 10-15 m) :
(a) 5 ×104 fm
(b) 2 ×104 fm
(c) 5 ×102 fm
(d) 5 ×106 fm
Q 33. One nautical mile is 6080 ft. The same in
kilometer is :
(a) 0.9 km
(b) 0.8 km
(c)
1.85 km
(d) none of these
Q 34. The area of a room is 10 m2. The
same in ft2 is :
(a) 107.6 feet2
(b)
77 feet2
(c)
77.6 feet2
(d)
none of these
Q 35. The
density of iron is 7.87 g/cm3. If the atoms are spherical and
closely packed. The mass of iron atom is 9.27 × 10-26 kg. What is
the volume of an iron atom ?
(a) 1.18 × 10-29 m3
(b) 2.63× 10-29 m3
(c) 1.73× 10-28 m3
(d) 0.53 × 10-29 m3
Q 36. In the previous question, what is the
distance between the centres of adjacent atoms ?
(a) 2.82 × 10-9 m
(b) 0.282× 10-9 m
(c) 0.63× 10-9 m
(d) 6.33× 10-9 m
Q 37. The
world’s largest cut diamond is the first star of Africa
(mounted in the British Royal Sculpture and
kept in the tower
of London
(a) 30.2 × 10-6 m3
(b) 33.28 m3
(c) 4.8 m3
(d) none of these
Q 38. Crane is Britsh unit of volume. (one crane =
170.474 litre) . Convert crane into SI unit :
(a) 0.170474 m3
(b) 17.0474 m3
(c) 0.0017474 m3
(d) 1704.74 m3
Q 39. Generally,
sugar cubes are added to coffee. A typical sugar cube has an edge of length of
1 cm. Minimum edge length of a cubical box containing one mole of the sugar
cobes is :
(a) 840 km
(b) 970 km
(c)
780 km
(d) 750 km
Q 40. The
concorde is the fastest airlines used for commercial service. It can cruise at
1450 mile per hour (about two times the speed of sound or in other words, mach
2). What is it in m/s ?
(a) 644.4 m/s
(b) 80 m/s
(c) 40 m/s
(d)
none of these
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