List of top Geomatics Engineering Questions on Geomatics-Engineering asked in GATE GE

The value of the convolution of $f(x) = 3 \cos 2x$ and $g(x) = \frac{1}{3} \sin 2x$ where $x \in [0, 2\pi]$, at $x = \frac{\pi}{3}$ is ............................. (Rounded off to 2 decimal places).
The zone number of Universal Transverse Mercator (UTM) projection having a longitude of $67^\circ 20' 30''\text{E}$ is \underline{\hspace{1.2cm}} (In integer).

The table provides the X- and Y-coordinates of the points, measured in row and column of a raster with a cell size of 1 meter, and their known values. Using inverse distance weighted (IDW) interpolation method and Euclidean distance, the interpolated value at Point 0 is ................. (Rounded to 2 decimal places). A constant rate of change in value between points should be assumed. 

 

Point$X$$Y$Value
1697627
2596710
3747913
06967?

 

The range accuracy with a microsecond accurate clock in the GNSS receiver is about 300 m. If we improve the clock accuracy to $3.33 \times 10^{-x}$ s, the range accuracy becomes 1 cm. The value of $x$ is ............ (In integer).
Assume the speed of light to be $c = 3 \times 10^8$ m/s and that no other errors are being considered.
Hint: error-free range = speed of light $\times$ time of travel of the signal

For the following data, the slope $(m)$ and intercept $(c)$ of the least squares fitted straight line $(Y=mX+c)$ are given as:

The figure shows three distance observations $D_1$, $D_2$ and $D_3$. The table lists values of these observations and the corresponding weights. Assuming uncorrelated observations, the most probable values by the least squares approach for these measurements are ............................. (Rounded off to 3 decimal places). \[ \begin{array}{|c|c|c|} \hline \text{Distance} & \text{Measurement (m)} & \text{Weight} \\ \hline D_1 & 40.150 & 1 \\ \hline D_2 & 40.180 & 2 \\ \hline D_3 & 80.390 & 1 \\ \hline \end{array} \]

A sensor converts the influx of light linearly to digital code through voltage changes. The sensor has a voltage range of 0-5 V and the maximum number of codes that it can quantize the voltage change is 2048. The bit-size of the quantizer is ............................. (In integers).
A child travelling in a bus is staring at the wheels of a car. To the child’s amusement the car wheels appear to spin backwards, but the car moves forward. This perception is because of the nature of our human visual sensory system, and is attributed to ..................
To store a 3 band, 4-bit, $512\times512$ size image (without header) the number of storage bits required are ..................
The scaled and rotated versions of vectors [1, 2] and [-3, 4] are .............
Which of the following statement(s) is/are CORRECT?
Which of the following statement(s) is/are CORRECT?
Which of the following statement is TRUE for the World Geodetic System 1984 (WGS84)?
Which of the following map scale is most suitable for urban planning?
Which of the following statement(s) is/are TRUE for the least squares adjustment of observations?
Which of the following statement(s) is/are TRUE for the systematic errors?
The orbital period of GPS satellites is determined by the ................. of their orbits.