Section A
Q1.
(a) What are scintillation counters ? Elucidate the applications and significance of scintillation counters.
(b) Describe the FIR low-pass filter and design a Five Point Casual FIR low-pass filter with a cut-off frequency ω_c = 0.4 π.
(c) What are shipboard operations and the Eötvös correction?
(d) What is a Hydrophone ? What are the materials used in it ? Explain the survey field operation procedure for it.
(e) Estimate the average drawdown over an area, where 25 million m3 of water has been pumped through a specific number of uniformly distributed wells. The area is 150 km2 and the specific yield of the unconfined aquifer is 25 percent.
(f) A field sample of unconfined aquifer was tested in a cylinder of length and diameter 50 cm and 6 cm, respectively. Under constant head difference of 16.3 cm, 45.2 cm3 of water was collected, after 3 minutes, at the outlet. What is the hydraulic conductivity of the formation?
(g)
Mapping cameras having a format size of 230 mm are fitted with 152 mm focal length lenses. Determine the angular field of view for such a combination of format size and focal length.
If the dimensions of a digital camera sensor are 10.40 cm in across-track direction and 6.81 cm in the along-track direction, and the camera has a 80 mm focal length lens, what are the across-track and along-track angular fields of view for the camera?
(h)
What is cross-correlation of signals ? Find out the cross-correlation of two signals given below and plot it:
X[n] = \beginbmatrix 3 & 1 & 2 \endbmatrix
Y[n] = [3 \ 2 \ 1]
