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Chapter 3 · MCQ Read Mode

Geodesy and Gravity Field

AGEE03·78 Total MCQs
Question 1 of 78Basic Geodesy

The geoid is best defined as:

AThe actual topographic surface
BA sphere of radius 6 371 km
CA mathematically defined ellipsoid of revolution
DAn equipotential surface of the earth's gravity field approximating mean sea level
Answer is hidden
Question 2 of 78Basic Geodesy

The surface used for the mathematical computation of geodetic positions is the:

AGeoid
BTopographic surface
CReference ellipsoid
DLevel surface through the station
Answer is hidden
Question 3 of 78Basic Geodesy

The flattening of the WGS84 ellipsoid is approximately:

A1/150
B1/500
C1/298.257
D1/1 000
Answer is hidden
Question 4 of 78Basic Geodesy

The height obtained directly from GNSS observations is:

AOrthometric height
BEllipsoidal height
CNormal-orthometric height
DDynamic height
Answer is hidden
Question 5 of 78Basic Geodesy

The relation between ellipsoidal height h, orthometric height H and geoid undulation N is:

Ah = H − 2N
BH = h + N
Ch = H + N
DN = h + H
Answer is hidden
Question 6 of 78Basic Geodesy

The angle between the plumb line and the ellipsoidal normal at a point is called the:

ADeflection of the vertical
BParallax
CGeoid undulation
DConvergence of meridians
Answer is hidden
Question 7 of 78Basic Geodesy

The meridian component of the deflection of the vertical is given by:

Aξ = Φ − φ
BN = h − H
Cη = Λ − λ
DA − α = η tan φ
Answer is hidden
Question 8 of 78Basic Geodesy

The Laplace condition relates the astronomical and geodetic azimuths by:

AA = α always
BA − α = ξ tan φ
CA + α = N/R
DA − α = η tan φ
Answer is hidden
Question 9 of 78Basic Geodesy

Orthometric height is measured from the:

AEllipsoid, along the normal
BGeoid, along the plumb line
CTopographic surface
DCentre of the earth
Answer is hidden
Question 10 of 78Basic Geodesy

The geoid undulation over the earth varies roughly within:

A±1 m
B±100 m
C±1 000 m
D±10 km
Answer is hidden
Question 11 of 78Basic Geodesy

Geocentric Cartesian (ECEF) coordinates have their origin at the:

AStation of observation
BCentre of the local ellipsoid only
CCentre of mass of the earth
DGreenwich observatory
Answer is hidden
Question 12 of 78Basic Geodesy

Satellite geodesy includes techniques such as:

AGNSS, VLBI, SLR and satellite altimetry
BSpirit levelling only
CPlane tabling and chaining
DCompass traversing
Answer is hidden
Question 13 of 78Basic Geodesy

The deflection of the vertical is largest:

AAt the equator only
BOver the open ocean
CWhere the geoid coincides with the ellipsoid
DIn mountainous regions with strong density and topographic variation
Answer is hidden
Question 14 of 78Mathematical and Geometrical Concepts of Geodesy

The flattening of an ellipsoid is defined as:

A(a + b)/a
B(a − b)/b
C(a − b)/a
Da/b
Answer is hidden
Question 15 of 78Mathematical and Geometrical Concepts of Geodesy

The first eccentricity squared of an ellipsoid is related to the flattening by:

Ae² = 2f − f²
Be² = f²
Ce² = 1 − f
De² = f/2
Answer is hidden
Question 16 of 78Mathematical and Geometrical Concepts of Geodesy

The radius of curvature in the prime vertical N compared with that in the meridian M is:

AEqual to M at the equator
BIndependent of latitude
CAlways greater than or equal to M
DAlways less than M
Answer is hidden
Question 17 of 78Mathematical and Geometrical Concepts of Geodesy

The radius of the parallel of latitude φ on an ellipsoid is:

AM cos φ
BN cos φ
CN sin φ
Da cos φ only
Answer is hidden
Question 18 of 78Mathematical and Geometrical Concepts of Geodesy

A short arc along a meridian is given by:

AN cos φ dλ
Ba dλ
CN dφ
DM dφ
Answer is hidden
Question 19 of 78Mathematical and Geometrical Concepts of Geodesy

The length of one degree of longitude at the equator is approximately:

A110.6 km
B60 km
C111.7 km
D111.3 km
Answer is hidden
Question 20 of 78Mathematical and Geometrical Concepts of Geodesy

The classical ellipsoid used for the geodetic system of Nepal and India is:

ABessel 1841
BEverest 1830
CClarke 1866
DGRS80
Answer is hidden
Question 21 of 78Mathematical and Geometrical Concepts of Geodesy

The shortest line between two points on the ellipsoid is called the:

ANormal section
BRhumb line
CGeodesic
DGreat circle
Answer is hidden
Question 22 of 78Mathematical and Geometrical Concepts of Geodesy

The two reciprocal normal sections between two points differ because:

AThe points are at the same latitude
BThe earth is a perfect sphere
CThe normals at the two points generally do not intersect
DOf atmospheric refraction
Answer is hidden
Question 23 of 78Mathematical and Geometrical Concepts of Geodesy

Computing the coordinates of a second point from a known point, an azimuth and a distance on the ellipsoid is called the:

ADatum transformation
BDirect (forward) geodetic problem
CInverse geodetic problem
DResection
Answer is hidden
Question 24 of 78Mathematical and Geometrical Concepts of Geodesy

Vincenty's formulae are used for:

AAccurate solution of geodetic problems on the ellipsoid over long distances
BLevelling computations
CMap projection of small areas
DGravity reduction
Answer is hidden
Question 25 of 78Mathematical and Geometrical Concepts of Geodesy

A local (non-geocentric) ellipsoid is selected so that it:

AIs a perfect sphere
BFits the geoid closely over the region concerned
CGives the largest deflections of the vertical
DHas its centre at the earth's centre of mass
Answer is hidden
Question 26 of 78Mathematical and Geometrical Concepts of Geodesy

GRS80 and WGS84 differ mainly in their:

AUnits of measurement
BFlattening, by a negligible amount
CSemi-major axis, by several kilometres
DOrigin, by hundreds of metres
Answer is hidden
Question 27 of 78Datum, Coordinate Systems and Projections

A geodetic datum is defined by:

AThe scale of the map
BOnly the semi-major axis
COnly the map projection used
DAn ellipsoid together with its position and orientation relative to the earth
Answer is hidden
Question 28 of 78Datum, Coordinate Systems and Projections

ITRF2014 is an example of a:

AMap projection
BGeoid model
CReference frame (realisation of a system)
DReference system definition
Answer is hidden
Question 29 of 78Datum, Coordinate Systems and Projections

Coordinates in ITRF are always quoted with an epoch because:

AThe projection changes
BGPS satellites change orbit
CThe tectonic plates and hence the stations move with time
DThe ellipsoid changes every year
Answer is hidden
Question 30 of 78Datum, Coordinate Systems and Projections

A seven-parameter Helmert transformation consists of:

AThree translations only
BThree rotations only
CThree translations, three rotations and one scale factor
DSeven translations
Answer is hidden
Question 31 of 78Datum, Coordinate Systems and Projections

A rotation matrix used in coordinate transformation has a determinant of:

A0
B−1
CAny value
D+1
Answer is hidden
Question 32 of 78Datum, Coordinate Systems and Projections

A reflection matrix is required when:

AThe rotation angles are small
BOnly a translation is needed
CThe scale factor is unity
DThe handedness of the coordinate system is reversed
Answer is hidden
Question 33 of 78Datum, Coordinate Systems and Projections

A projection that preserves angles and the shape of small features is called:

AEquidistant
BAzimuthal
CEqual-area
DConformal
Answer is hidden
Question 34 of 78Datum, Coordinate Systems and Projections

The width of each UTM zone is:

A15°
B6° of longitude
C3°
D10°
Answer is hidden
Question 35 of 78Datum, Coordinate Systems and Projections

The scale factor at the central meridian of a UTM zone is:

A0.9999
B1.0004
C1.0000
D0.9996
Answer is hidden
Question 36 of 78Datum, Coordinate Systems and Projections

The false easting assigned to the central meridian in UTM is:

A10 000 000 m
B1 000 000 m
C0 m
D500 000 m
Answer is hidden
Question 37 of 78Datum, Coordinate Systems and Projections

Nepal's Modified UTM (MUTM) uses zones of width:

A10° centred on Kathmandu
B1° with any central meridian
C6° with central meridians at 81° and 87° E
D3° with central meridians at 81°, 84° and 87° E
Answer is hidden
Question 38 of 78Datum, Coordinate Systems and Projections

The ellipsoid used with Nepal's classical MUTM system is:

AEverest 1830
BWGS84
CClarke 1866
DGRS80
Answer is hidden
Question 39 of 78Datum, Coordinate Systems and Projections

The angle between grid north and true north at a point is called the:

AMagnetic declination
BGrid convergence
CDeflection of the vertical
DScale factor
Answer is hidden
Question 40 of 78Physical Geodesy

Gravity at a point on the earth is the resultant of:

AGravitational attraction only
BGravitational attraction and centrifugal acceleration
CMagnetic and gravitational forces
DCentrifugal acceleration only
Answer is hidden
Question 41 of 78Physical Geodesy

The value of gravity is greatest:

AOn high mountains
BAt the poles
CAt 45° latitude
DAt the equator
Answer is hidden
Question 42 of 78Physical Geodesy

One milligal (mGal) equals:

A10⁻³ m/s²
B10⁻⁵ m/s²
C10⁻⁸ m/s²
D1 cm/s²
Answer is hidden
Question 43 of 78Physical Geodesy

Level surfaces of the earth's gravity field are:

AStraight planes
BExactly parallel everywhere
CPerpendicular to the ellipsoid normal
DNot parallel to one another
Answer is hidden
Question 44 of 78Physical Geodesy

A plumb line is:

AThe line of sight of a level
BA straight line to the earth's centre
CA curved line orthogonal to all level surfaces
DParallel to the ellipsoidal normal everywhere
Answer is hidden
Question 45 of 78Physical Geodesy

Normal gravity is the gravity of:

AThe geoid at the equator
BThe actual topographic surface
CThe normal (level) ellipsoid of the same mass and rotation as the earth
DA homogeneous sphere of radius 6 371 km
Answer is hidden
Question 46 of 78Physical Geodesy

The free-air correction to observed gravity is about:

A0.1119 mGal per metre
B0.3086 mGal per metre of height
C3.086 mGal per metre
D0.0419 mGal per metre
Answer is hidden
Question 47 of 78Physical Geodesy

The Bouguer correction accounts for the:

AHeight of the station only
BTidal attraction of the moon
CAttraction of the mass of rock between the station and the geoid
DRotation of the earth
Answer is hidden
Question 48 of 78Physical Geodesy

The terrain correction applied to gravity observations is:

AAlways positive
BNegative in valleys only
CZero on a hill
DAlways negative
Answer is hidden
Question 49 of 78Physical Geodesy

Bruns' formula relates the geoid undulation to the:

ADisturbing potential divided by normal gravity
BFree-air anomaly divided by height
CTerrain correction
DBouguer anomaly
Answer is hidden
Question 50 of 78Physical Geodesy

Stokes' integral is used to compute the:

ANormal gravity from latitude
BOrthometric height from GNSS alone
CDeflection of the vertical from levelling
DGeoid undulation from gravity anomalies
Answer is hidden
Question 51 of 78Physical Geodesy

A good national geoid model is important because it allows:

AMap projections to be avoided
BGNSS ellipsoidal heights to be converted into orthometric heights
CGravity to be ignored
DLevelling to be abandoned in all cases
Answer is hidden
Question 52 of 78Physical Geodesy

Isostatic gravity anomalies are close to zero where:

AGravity has not been measured
BThe station is at sea level
CThe terrain correction is large
DThe topography is isostatically compensated
Answer is hidden
Question 53 of 78Gravimetry and the Gravity Field of the Earth

Outside the attracting masses, the gravitational potential satisfies:

ALaplace's equation ∇²V = 0
BThe wave equation
CPoisson's equation ∇²V = −4πGρ
DClairaut's theorem
Answer is hidden
Question 54 of 78Gravimetry and the Gravity Field of the Earth

The earth's external gravity field is conveniently represented by a series of:

ASpherical harmonics
BLegendre transforms of pressure
CFourier series in time
DTaylor polynomials in height
Answer is hidden
Question 55 of 78Gravimetry and the Gravity Field of the Earth

Spherical harmonics with order m = 0 are called:

ANormal harmonics
BTesseral harmonics
CSectorial harmonics
DZonal harmonics
Answer is hidden
Question 56 of 78Gravimetry and the Gravity Field of the Earth

The coefficient C̄₂₀ of the spherical harmonic expansion is closely related to the earth's:

ARotation period
BMean density only
CMagnetic field
DFlattening (dynamic form factor J₂)
Answer is hidden
Question 57 of 78Gravimetry and the Gravity Field of the Earth

Clairaut's theorem allows the determination of the earth's flattening from:

AAstronomical time observations only
BLevelling networks
CGravity measurements
DMagnetic surveys
Answer is hidden
Question 58 of 78Gravimetry and the Gravity Field of the Earth

A free-fall (ballistic) instrument that determines the value of g directly is an:

AGradiometer only
BInclinometer
CAbsolute gravimeter
DRelative gravimeter
Answer is hidden
Question 59 of 78Gravimetry and the Gravity Field of the Earth

A spring-type LaCoste-Romberg or Scintrex instrument measures:

AGeoid undulation
BDifferences of gravity between stations
CThe deflection of the vertical
DAbsolute gravity directly
Answer is hidden
Question 60 of 78Gravimetry and the Gravity Field of the Earth

Readings of a relative gravimeter are repeated at a base station during a survey in order to:

ADetermine and remove the instrument drift
BDetermine the latitude
CMeasure the terrain correction
DCalibrate the GPS receiver
Answer is hidden
Question 61 of 78Gravimetry and the Gravity Field of the Earth

The GRACE and GRACE-FO satellite missions are used mainly to observe:

ASea surface colour
BIonospheric delay
CTime variations of the earth's gravity field
DThe static field at very high resolution only
Answer is hidden
Question 62 of 78Gravimetry and the Gravity Field of the Earth

In the Airy-Heiskanen model of isostasy:

AMountains have roots proportional to their height, with constant crustal density
BThe depth of compensation is constant and density varies
CCompensation is purely regional and elastic
DThere is no compensation at all
Answer is hidden
Question 63 of 78Gravimetry and the Gravity Field of the Earth

The isostatic gravity anomaly in a region that is fully compensated is:

AStrongly positive
BClose to zero
CEqual to the free-air anomaly
DStrongly negative
Answer is hidden
Question 64 of 78Gravimetry and the Gravity Field of the Earth

Complete Bouguer anomalies over high mountain ranges are typically:

AStrongly negative
BEqual to the free-air anomaly
CExactly zero
DStrongly positive
Answer is hidden
Question 65 of 78Gravimetry and the Gravity Field of the Earth

The crustal root beneath the Himalaya is of the order of:

A2 km
B7 km
C700 km
D70 km
Answer is hidden
Question 66 of 78Field Astronomy and Time Systems

The obliquity of the ecliptic is approximately:

A23.44°
B90°
C66.5°
D45°
Answer is hidden
Question 67 of 78Field Astronomy and Time Systems

The point where the sun crosses the celestial equator moving northwards is the:

AVernal equinox (First Point of Aries)
BZenith
CSummer solstice
DAutumnal equinox
Answer is hidden
Question 68 of 78Field Astronomy and Time Systems

Which pair of celestial coordinates is independent of both the observer's position and time?

AAltitude and azimuth
BHour angle and declination
CZenith distance and azimuth
DRight ascension and declination
Answer is hidden
Question 69 of 78Field Astronomy and Time Systems

In the astronomical (PZS) triangle, the side from the pole to the star is:

AThe co-latitude (90° − φ)
BThe zenith distance
CThe polar distance (90° − δ)
DThe hour angle
Answer is hidden
Question 70 of 78Field Astronomy and Time Systems

Napier's rules of circular parts apply to:

AOnly equilateral triangles
BAny spherical triangle
CAny plane triangle
DRight-angled spherical triangles
Answer is hidden
Question 71 of 78Field Astronomy and Time Systems

The length of a sidereal day is:

A23 h 00 m
B24 h exactly
C23 h 56 m 04 s of mean solar time
D24 h 04 m
Answer is hidden
Question 72 of 78Field Astronomy and Time Systems

The local sidereal time is equal to the:

AHour angle of the sun
BLongitude of the observer
CRight ascension of the sun
DHour angle of the vernal equinox
Answer is hidden
Question 73 of 78Field Astronomy and Time Systems

The difference between apparent solar time and mean solar time is called the:

ASidereal correction
BAberration
CNutation
DEquation of time
Answer is hidden
Question 74 of 78Field Astronomy and Time Systems

UTC differs from TAI and from GPS time because UTC:

ARuns faster than atomic time
BHas no relation to the earth's rotation
CIncludes leap seconds to stay close to UT1
DIs not based on atomic clocks
Answer is hidden
Question 75 of 78Field Astronomy and Time Systems

Nepal standard time is based on the meridian:

A90° E, giving UTC + 6:00
B0°, giving UTC
C86° 15′ E, giving UTC + 5:45
D82° 30′ E, giving UTC + 5:30
Answer is hidden
Question 76 of 78Field Astronomy and Time Systems

The slow conical motion of the earth's axis with a period of about 26 000 years is called:

AAberration
BNutation
CPolar motion
DPrecession
Answer is hidden
Question 77 of 78Field Astronomy and Time Systems

The Chandler wobble, with a period of about 435 days, is a component of:

APrecession
BNutation
CRefraction
DPolar motion
Answer is hidden
Question 78 of 78Field Astronomy and Time Systems

Atmospheric refraction makes a celestial body appear:

ADisplaced only in azimuth
BLower than its true position
CUnchanged in altitude
DHigher than its true position, by about 34′ at the horizon
Answer is hidden
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