GATE GG-1 format:nat PYQs & Answers — Page 4 — Exam Papers

Questions 31–40 of 155. Imported answers require independent review unless marked reviewed.

Topic practice 155 questionsPage 4 of 16

Assume heat producing elements are uniformly distributed within a 16 km thick layer in the crust in a heat flow province. Given that the surface heat flow and reduced heat flow are 54 mW/m² and 22 mW/m², respectively, the radiogenic heat production in the given crustal layer in µW/m³ is ____________ (in integer).

Log in to check the answer

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A confined aquifer with a uniform saturated thickness of 10 m has hydraulic conductivity of 10⁻² cm/s. Considering a steady flow, the transmissivity of the aquifer in m²/day is _________________ (rounded off to one decimal place).

Log in to check the answer

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A current of 2 A passes through a cylindrical rod with uniform cross-sectional area of 4 m² and resistivity of 100 Ω-m. The magnitude of the electric field (E) measured along the length of the rod in V/m is ______________ (in integer).

Log in to check the answer

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Consider the solubility product of barite (BaSO₄) at 25 °C and 1 bar to be 10⁻¹⁰. If the activities of Ba²⁺ and SO₄²⁻ ions are 0.5 × 10⁻⁵ and 10⁻ˣ, respectively, then the absolute value of ‘X’ is ________ (rounded off to one decimal place).

Log in to check the answer

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

The support pressure of 20 kPa is required to stabilize the lose blocks of the Excavation Disturbed Zone (EDZ) at the crown of a circular tunnel with horizontal axis. The EDZ is to be stabilized by inserting rock bolts vertically into the roof. If the working capacity of a bolt is 160 kN, the area of the roof supported by a single bolt in m² is __________ (in integer).

Log in to check the answer

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

The areas of drainage basins A and B are 25 km² and 50 km², respectively. The total length of drainages of all orders in basin A is 20 km. If both the basins have the same drainage density, the total length of drainages of all orders in basin B in km is __________ (in integer).

Log in to check the answer

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

The in situ stress at a point in a dry sandstone terrain is as follows: σ₁ = 12 MPa and σ₃ = 4 MPa. The pore water pressure (pᵥ) increases by the construction of a reservoir. The failure criterion of the sandstone is given by σ₁′ = 3.48 MPa + 3σ₃′, where σ₁′ and σ₃′ are the effective maximum and minimum principal stresses, respectively. Assuming that the failure occurs at peak stress, the minimum value of pᵥ (in MPa) that will cause the sandstone to fail in situ is _________ (rounded off to two decimal places).

Log in to check the answer

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

If the Rb-Sr isochron formed by a suite of gabbro samples has a slope of 0.0265, then the calculated age of the gabbro in million years is ________ (in integer).

[Use λ(⁸⁷Rb) = 1.42 × 10⁻¹¹ year⁻¹]

Log in to check the answer

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A soil mass comprises two horizontal layers (of equal thickness and equal width) stacked one above the other. The hydraulic conductivities of the two layers are 5 × 10⁻² cm/s and 3 × 10⁻² cm/s. Considering Darcian flow of water and same hydraulic gradient for both the layers, the effective hydraulic conductivity of the soil mass in cm/s is __________ (rounded off to two decimal places).

Log in to check the answer

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

The bulk density and water content of a soil are 1800 kg/m³ and 18%, respectively. The dry density of the soil calculated from the given information is ____________ kg/m³. [round off to 2 decimal places]

Log in to check the answer

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer