Combined Geo-Scientist (Main) Examination, 2021 2021 — III Question Paper PDF Download

Q1.

(a) SECTION A Calculate the half-life of an element that decays from gm to Q1.
(i) 0.125 gm in 2 days. \mathcalS_{\mathcalS} How many alpha and beta particles are emitted when ⁹⁰₂₃₄Th
(ii) disintegrates to ⁸²₂₀₆Pb ? \mathbf2 Determine the volume of water released by lowering the piezometric

(b) surface of a confined aquifer by m over an area of 1 \textkm^

Q2.

(a) The aquifer is 45 m thick and has a storage coefficient of 3.0 × 10^-3. A system has a pair of complex conjugate poles P₁, P₂ = 2 ± j, a single
(c) real zero z₁ = -2, and a gain factor K = 3. Find the differential equation representing the system. A rectangular agricultural field measures 9.25 cm long and 6.75 cm (d) wide on a vertical aerial photograph having a scale of 1:50,000. Find the area of the field at ground level. (Round up to 2 decimals) What are the reasons for earth acting as a low pass filter? (e) A field sample of an unconfined aquifer is packed in a test cylinder. The (f) length and diameter of the cylinder are 60 cm and cm respectively. The field sample is tested for a period of minutes under a constant head difference of 15.5 cm. As a result, 40.8 \text cm³ of water is collected at the outlet. Calculate the hydraulic conductivity of the aquifer sample. 5 What is aliasing? Discuss any two methods for minimizing it. (g) Comment briefly on the major components of a continental margin. (h) What is Geiger-Muller (G-M) counter ? Explain the principle on Q2.
(i) which it operates. What is the efficiency and the dead time of a G-M counter? \overline5
(ii) What is Fourier series?

(b) Show that different terms of Fourier series for a real valued function f
(x) periodic on an interval [-π, π] forms an orthonormal basis. What is the status of Titanium mining in India?

(c) Discuss its mineral sources, major reserves in India and economic significance. SDT-T-GPH \overline2