A shovel of bucket capacity 4.2 m³ makes 900 passes per day with a fill factor of 0.8. If the swell factor of the rock is 1.4, then in-situ volume handled by the shovel in a month of 24 working days in m³ is ______ (round off to 1 decimal place).

A cylindrical sample of granular material has the following measurements:

Length: 10 cm

Diameter: 5 cm

Weight: 350 g

Assume the sample is completely dry with specific gravity of solid grains 2.8. The void ratio of the sample is ______ (round off to 3 decimal places).

The following consecutive readings were taken at uniform intervals with a level and a levelling staff on continuously sloping ground.

0.405, 1.035, 1.654, 0.240, 0.615, 1.125, 0.800, 1.125

The number of change points is ______.

The cost of a slurry pump is Rs. 50,000 and it has an estimated life of 7 years. If the salvage value is Rs. 8,000, the annual depreciation following straight-line depreciation method, in Rupees, is ______ (round off to 1 decimal place).

In a mine bench, the shovel loading time follows exponential distribution with a mean loading time of 5 min per dumper. The arrival rate of dumpers that are identical in capacity, follows Poisson distribution with a mean arrival rate of 8 per hour. The probability that the shovel remains idle is ______ (round off to 2 decimal places).

A belt-drive used for power transmission between two parallel shafts has a belt of mass 1.2 kg/m, and the maximum allowable belt tension is 2250 N. If the centrifugal tension is one third of the maximum allowable belt tension, the speed at which maximum power is transmitted by the belt, in m/s, is

A conveyor belt consumes 60 kW power while running at a speed of 3.0 m/s. The angle of lap is 180° and the coefficient of friction between belt and pulley is 0.2. The maximum tension (kN) in the belt is

A linear programming problem is stated below.

Maximize $Z = 3x_1 + 5x_2$

subject to,

$2x_1 + x_2 \leq 8$

$6x_1 + 8x_2 \leq 30$

$x_1, x_2 \geq 0$

The objective function has

An explosive mixture has 80 g of ammonium nitrate (NH₄NO₃) and 14 g of fuel oil (C₁₂H₂₀). The oxygen balance in the mixture is

Out of the support categories given for an underground coal mine, identify the ‘active support’.