The study of Physics mainly concerns the __________.
A properties of languages
B behavior of living organisms
C nature and properties of matter and energy
D origin of species
Physics studies matter, energy and their interactions.
Which of the following is not a primary goal of physics?
A Describe natural phenomena
B Predict future behavior of systems
C Create new languages
D Discover fundamental laws
Creating languages is unrelated to physics goals.
Which quantity has both magnitude and direction?
A Temperature
B Force
C Mass
D Time
Force is a vector; temperature, mass, time are scalars.
The SI base unit of length is the __________.
A meter
B liter
C foot
D yard
Meter (m) is the SI base unit for length.
Dimension of velocity is __________.
A [M][L][T^-2]
B [L][T^-1]
C [M][L^2][T^-2]
D [T]
Velocity = length/time so dimension [L][T^-1].
If a physical relation is dimensionally inconsistent, it is __________.
A always correct
B potentially wrong
C definitely correct
D dimensionless
Dimensional inconsistency indicates a wrong relation.
The process of comparing a measurement to a standard is called __________.
A guessing
B measurement
C calibration
D modeling
Measurement is comparing to standards.
A systematic error is best described as __________.
A random fluctuation
B bias that shifts all measurements
C due to human guessing
D caused only by rounding
Systematic error produces consistent bias.
The uncertainty that varies unpredictably from one measurement to another is called __________.
A systematic error
B random error
C calibration error
D absolute error
Random errors vary unpredictably.
Which of the following reduces random errors the most?
A Use single measurement only
B Repeat measurements and average
C Change the measuring instrument brand frequently
D Ignore outliers always
Averaging repeated measurements reduces random error.
A coordinate system that uses (r, θ) to locate a point is called __________.
A Cartesian
B Spherical
C Polar (plane)
D Linear
Polar coordinates use r and θ.
In 3D Cartesian coordinates, the point (0,0,0) is called the __________.
A origin
B pole
C focus
D node
Origin is the reference point (0,0,0).
Conversion from Cartesian (x,y) to polar (r,θ): r equals __________.
A x + y
B √(x^2 + y^2)
C x^2 + y^2
D x/y
r = sqrt(x^2 + y^2).
The solid angle has SI unit __________.
A steradian
B radian
C degree
D meter
Solid angle unit is steradian (sr).
A full sphere subtends how many steradians?
A 2π sr
B 4π sr
C π sr
D 8π sr
Solid angle of entire sphere is 4π sr.
The small solid angle dΩ on a sphere of radius r corresponding to area dA is given by __________.
A dΩ = dA / r
B dΩ = dA / r^2
C dΩ = r^2 dA
D dΩ = r dA
Solid angle dΩ = area on sphere / r^2.
Space–time symmetry that reverses time coordinate t → −t is called __________.
A parity (P)
B time reversal (T)
C charge conjugation (C)
D rotation
T-symmetry is time reversal.
Under parity (P) transformation, spatial coordinates (x,y,z) transform to __________.
A (x,y,z)
B (−x,−y,−z)
C (y,x,z)
D (1/x,1/y,1/z)
Parity flips spatial coordinates sign.
Conservation of linear momentum follows from which symmetry?
A Translational symmetry in space
B Time-translational symmetry
C Rotational symmetry
D Reflection symmetry
Space translation symmetry → momentum conservation (Noether).
Energy conservation is associated with __________.
A spatial translation symmetry
B time translation symmetry
C rotation symmetry
D mirror symmetry
Time translation symmetry implies energy conservation.
Which of the following is a conserved scalar in an isolated system?
A Total linear momentum
B Energy
C Both A and B
D Neither
Both energy and total linear momentum are conserved in isolated system.
Dimensions of torque (moment of force) are same as __________.
A energy
B pressure
C power
D velocity
Torque (N·m) has same dimensions as energy (J).
The least count of a measuring instrument is __________.
A the largest value it can measure
B the smallest division it can resolve
C its mass
D its price
Least count = smallest reading increment.
If measurement is reported as 2.30 ± 0.05 m, 0.05 is the __________.
A absolute error
B relative error
C percent error
D resolution
±0.05 m is the absolute error.
The relative error is defined as __________.
A absolute error × true value
B absolute error / measured value
C absolute error / true value
D measured value / absolute error
Relative error = absolute error / true value (often approximated by measured value).
Which coordinate system is most convenient for problems with spherical symmetry?
A Cartesian
B Cylindrical
C Spherical
D Polar (2D)
Spherical coordinates simplify spherical symmetry problems.
The angle subtended by an arc of length s on a circle of radius r is θ = s/r in __________.
A degrees
B radians
C steradians
D revolutions
θ in radians equals arc length divided by radius.
A steradian is analogous to a __________ in 2D.
A degree
B radian
C meter
D mole
Steradian is the 3D analogue of a radian.
If a physical law is invariant under rotation, then __________ is conserved.
A linear momentum
B electric charge
C angular momentum
D mass
Rotational symmetry → angular momentum conservation.
Units of solid angle are dimensionless because:
A steradian equals m^2/m^2 so no dimension left
B steradian equals m/m^2
C it is measured in degrees
D it is fictitious
Solid angle = area on sphere / r^2 → units cancel → dimensionless.
Which of the following is not an SI base quantity?
A Time
B Electric current
C Temperature
D Pressure
Pressure is a derived quantity (Pa), not a base unit.
The dimension of electric charge in terms of [M],[L],[T],[I] is __________.
A [I][T]
B [M][L^2][T^-2]
C [Q] (no relation)
D [I]
Charge = current × time → [I][T].
If f(x) has dimensions of length and x is dimensionless, then df/dx has dimensions of __________.
A length
B 1/length
C dimensionless
D length^2
Derivative of length w.r.t dimensionless variable has length units.
Which of the following is an example of a vector quantity?
A Electric potential
B Speed
C Displacement
D Temperature difference
Displacement is a vector.
A measurement reads 5.00 s with least count 0.01 s. An appropriate way to quote it with uncertainty is __________.
A 5.00 ± 0.01 s
B 5 ± 1 s
C 5.00 ± 0.5 s
D 5.000 ± 0.001 s
Least count suggests ±0.01 uncertainty.
Which of the following changes sign under parity transformation?
A Scalar like mass
B Pseudoscalar like scalar triple product
C Energy
D Time
Pseudoscalars change sign under parity; mass, energy are scalars.
The conservation law stating that charge cannot be created or destroyed is called __________.
A conservation of mass
B conservation of electric charge
C conservation of momentum
D conservation of time
Charge conservation is a fundamental law.
Which symmetry operation turns a particle into its antiparticle (in many contexts)?
A Parity (P)
B Charge conjugation (C)
C Time reversal (T)
D Translation
Charge conjugation changes particle to antiparticle.
The dimensional formula of pressure is __________.
A [M][L^-1][T^-2]
B [M][L^2][T^-2]
C [M][L^-3]
D [L][T^-1]
Pressure = force/area = (M L T^-2)/L^2 = M L^-1 T^-2.
If two measurements are 10.0 ± 0.2 and 3.0 ± 0.1, the percentage error of the first is __________ (approx).
A 2%
B 0.02%
C 20%
D 0.2%
% error = (0.2/10.0)*100 = 2%.
Which statement about derived units is true?
A Derived units are unrelated to base units
B Derived units come from algebraic combinations of base units
C Derived units must be base units too
D Derived units cannot be expressed dimensionally
Derived units are combinations of base units.
In cylindrical coordinates (ρ, φ, z), φ corresponds to __________.
A radial distance in xy-plane
B angle in xy-plane
C height along z
D temperature
φ is the azimuthal angle.
Which of the following is conserved in an elastic collision between two particles in an isolated system?
A Kinetic energy and linear momentum
B Only kinetic energy
C Only momentum of one particle
D Neither energy nor momentum
Elastic collision conserves total KE and momentum.
A physical law invariant under time translation suggests:
A Momentum is conserved
B Energy is conserved
C Charge is conserved
D Volume is conserved
Time translation symmetry → energy conservation.
Solid angle subtended by a cone of half-angle α is 2π(1 − cosα). For α = 90°, solid angle equals __________.
A π sr
B 2π sr
C 4π sr
D 0 sr
cos90°=0 → 2π(1−0)=2π sr.
A transformation (x→x+a) is an example of __________.
A rotation
B space translation
C parity
D scaling
Adding constant a translates space.
Which of these is dimensionless?
A Reynolds number
B Force
C Energy
D Mass
Reynolds number is a dimensionless ratio.
The slope of a graph of displacement vs. time gives __________.
A acceleration
B velocity
C force
D energy
Slope dx/dt is velocity.
The physical quantity with dimension [L^3] is __________.
A volume
B pressure
C acceleration
D density
Volume dimension is length^3.
If the fractional uncertainties of two measured quantities x and y are 2% and 3%, the fractional uncertainty in product xy (approx) is __________.
A 1%
B 5%
C 6%
D 0%
Fractional uncertainties add: 2% + 3% = 5%.