List of practice Questions

Match the rock with its metamorphosed form
Identify the WRONG statement: Break-even stripping ratio
A square pattern of blasting is shown in the figure. For the case of simultaneous blast, identify the zone of no fragmentation.
In the truss shown in the figure, the force in the member BD, in kN, is __________________ .
The correct vertical stress profile in the case of tributary area method for pillar design is
A sewage treatment plant (capacity 10 MLD) treats wastewater using an aerobic biological process. Inlet BOD = 100 mg/L, outlet BOD = 30 mg/L. Microbial yield = 0.5 g VSS/g BOD removed. At 80% plant capacity, the sludge production rate (in kg/day, rounded off to one decimal place) is __________.
A centrifuge processes 1000 L/h of water containing 2 g/L suspended solids. The thickened slurry leaving the centrifuge has 20 g per 100 mL of solids. If the centrifuge has 99% solids-separation efficiency, find the flow rate (in L/h, rounded to one decimal place) of the supernatant stream.
A ground level source emits 1000 g/day of SO$_2$. Wind speed = 2 m/s. Dispersion coefficients at 1000 m downwind are given. Estimate the ground-level SO$_2$ concentration (in $\mu$g/m$^3$, rounded off to two decimals) at 1000 m at the plume centerline.
The figure shows heat inflow and outflow for a waste-to-energy plant furnace. Assume:
(i) total heat loss = 3% of heat released from waste,
(ii) sensible heat of waste is negligible,
(iii) complete burning of waste.
Given waste feed rate = 70 kg/h, air heat input = 300 kcal/h,
flue gas = 90000 kcal/h, ash = 10000 kcal/h.
Find the heat content of waste (kcal/kg), rounded to one decimal place.
The value of $\displaystyle \lim_{x \to 0}\frac{(1-x)^n - 1}{x}$ is
A velocity field in Cartesian coordinate system is expressed as
\[ \mathbf{v} = x\,\hat{i} + y\,\hat{j} + p(z)\,\hat{k}, \quad \text{where } p(0)=0. \] If div $\mathbf{v} = 0$, $p(z)$ is
The constant term of the Fourier coefficients of the periodic function
\[ f(x)= \begin{cases} -k, & -\pi<x<0 \\ k, & 0<x<\pi \end{cases} \quad\text{and}\quad f(x+2\pi)=f(x),k=\text{constant} \] is
Two vectors $x$ and $y$ are shown in the figure. The projection vector of $x$ on $y$ is
A solution has 0.001 mole/L zinc ions with pH = 6. The solubility product of zinc hydroxide is \[ K_{sp} = 8 \times 10^{-18}\ (\text{mol/L})^{3}. \] Ignoring activity corrections, find the ratio (rounded to two decimals) of the reaction quotient to the solubility product.
An isolated 3-hour storm occurred over a catchment.
Given the $\phi$–index and rainfall data, compute the total rainfall excess (rounded off to one decimal place).
Two reservoirs differ by 20 m in water levels and are connected through a confined aquifer (thickness = 5 m, length = 2 km, hydraulic conductivity $K = 3\times10^{-3}$ m/s, porosity $\eta = 0.3$). If Reservoir 1 is contaminated, the time (in days, rounded off to one decimal place) taken by the pollutant to reach Reservoir 2 by advection is __________.
A venturimeter with a differential manometer is installed to measure flow in a water pipeline. Taking water specific weight = 9810 N/m$^3$, compute the pressure difference (in Pa, rounded off to one decimal place) between points Q and P.
Two reservoirs differ by 10 m in water surface elevation and are connected by a 50 m long, 10 cm diameter pipeline (friction factor $f = 0.02$). If the last 25 m is replaced with a 20 cm diameter pipe of the same material, the increase in discharge (in %, rounded to one decimal place) is:
Find the depth of flow (in m, rounded to two decimals) in a hydraulically efficient rectangular channel ($n = 1/80$) carrying 64 m$^3$/s at slope $S = 0.01$.
Clean water is passed through a bed of uniform spherical sand at a filtration velocity of 0.002 m/s. Sand grains are 0.4 mm diameter, specific gravity 2.65, bed depth = 0.67 m, porosity $\eta = 0.35$. Water density = 998.2 kg/m$^3$, viscosity = $1.002\times10^{-3$ Pa·s. Friction factor: \[ f = 1.75 + \frac{150(1-\eta)}{Re}, \] where $Re$ is Reynolds number. The headloss (in m, rounded off to three decimal places) using the Carman–Kozeny equation is __________.}
According to the National Ambient Air Quality Standards (CPCB, Govt. of India, 2009), which of the following statement(s) is/are correct?
Consider the figure shown below for three different cases. Which of the following statement(s) is/are correct for surface level emissions, given the environmental temperature?
As per the Solid Waste Management Rules of 2016 (Govt. of India), which of the following statement(s) is/are correct?
Carbon cycle, nitrogen cycle and phosphorus cycle play important roles in ecosystems. Which of the following statement(s) is/are NOT correct about the phosphorus cycle?
Which of the following statement(s) is/are correct regarding National Green Tribunal (NGT) of India?