In the truss shown in the figure, the force in the member BD, in kN is ______.

The bottom section of a stoping block has dimensions 200 m × 40 m. If the modified RMR of rock mass is 50, the appropriate method of mining on the basis of Laubscher’s chart in the figure is

Match the machine with its component.

The modified Lauffer diagram as shown in the figure relates to roof span, RMR and stand-up time. In a metal mine, roof span of a drive is 4 m. If the RMR of the rock mass changes from 40 to 60, then the stand-up time increases by a factor of________. (round off to two decimal places)

In a friction winder, the skip accelerates to a steady speed over a time span of 15 s from the start. The torque vs. time diagram for the winding cycle is shown in the figure. The deceleration time in seconds is ______. (round off to one decimal place)

At a measurement station, the air quality parameters $PM_\text{2.5}$, $NO_2$ and $O_3$ have the AQI sub-index values as 180, 96, and 84, respectively. The AQI for the station is ______. (in integer)

Match the drilling pattern with mining operation

Let $f(x)$ be a continuous and differentiable function on [3, 18]. If $f(3) = -50$ and $f'(x) leq 20$, then the largest possible value of $f(18)$, is ______. (in integer)

In a health centre, the probability of ‘full occupancy’ of COVID beds for a day is 0.8. Assuming Binomial probability distribution, the probability of full occupancy exactly for 5 days in a week, is ______. (round off to three decimal places)

A circular tunnel of radius 3 m is constructed in a hydrostatic stress field of 15 MPa. The modulus of elasticity and Poisson’s ratio of the rock are 5 GPa and 0.25, respectively. A uniform support pressure $p_i$ is applied at tunnel boundary to restrict the radial deformation at the tunnel boundary to 4 mm. The value of $p_i$ in MPa is______. (round off to two decimal places)