Recent questions

Consider two matrices $\mathbf{P}=\left[\begin{array}{ll}2 & 3 \\ 1 & 4\end{array}\right]$ and $\mathbf{Q}=\left[\begin{array}{ll}5 & 4 \\ 0 & 2\end{array}\right]$. If $\...

Second order ordinary differential equation $\frac{d^{2} y}{d x^{2}}-\frac{d y}{d x}-2 y=0$ has values $y=2$ and $\frac{d y}{d x}=1$ at $x=0$. The value of y at $x=1$ ...

For the function } f(x)=x \sqrt{4-x^{2}}, the maximum value in the range $-2 \leq x \leq 2$ is ____________ $\text { (rounded off to two decimal places). }$

The solubility of gas A is $16 \mathrm{mg} / \mathrm{L}$ in water and its vapor pressure is $0.042 \mathrm{~atm}$. at $25^{\circ} \mathrm{C}$. In a closed system, the gas...

The following figure (not to the scale) shows a catchment $(\mathrm{Q}, \mathrm{S}, \mathrm{U}, \mathrm{T}, \mathrm{Q})$ and adjoining raingauge stations $\mathrm{P}, \ma...

A trapezoidal canal lined with cement concrete $(n=0.01)$ is designed to carry a discharge of $20 \mathrm{~m}^{3} / \mathrm{s}$ at a bed slope 1 in 400 . If the bed width...

A fully penetrating well is installed in a homogenous and isotropic confined aquifer. The aquifer has uniform thickness of $16 \mathrm{~m}$ and hydraulic conductivity of ...

A plunger weighing $314 \mathrm{kN}$ is balanced in a cylindrical vessel of diameter $1.5 \mathrm{~m}$ and filled with an oil (specific gravity 0.9 ) as shown in the foll...

A biological reactor is getting wastewater containing 1 mole/L acetate ions as carbon source. The following reaction takes place in the bio-reactor:\[\begin{array}{l}0.12...

A flask (100 ml volume) has wastewater, which has $0.12 \mathrm{mg} / \mathrm{L}$ geosmin. Activated carbon is added in this flask for adsorbing geosmin as per the Freund...

A pipeline is designed to deliver $20 \mathrm{~L} / \mathrm{s}$ of an oil (kinematic viscosity $=6 \times 10^{-6} \mathrm{~m}^2 / \mathrm{s}$ and specific gravity $=0.9$ ...

You are doing an experiment to find out $\mathrm{BOD}_5$ of a wastewater. You have taken $25 \mathrm{~mL}$ wastewater having ultimate BOD of $75 \mathrm{mg} / \mathrm{L}$...

In a $30 \mathrm{~m}^{3}$ room, a stove in operation consumes wood at the rate of $0.25 \mathrm{~kg} / \mathrm{h}$. The inflow and outflow rate of air in the room is the ...

A city generates on average $1000$ metric tonnes/day of municipal solid waste and follows integrated waste management system. $15 \%$ of the total waste is recycled, $40 ...

An industry with an effective stack height of $80 \mathrm{~m}$ emits $1200 \mathrm{~g} / \mathrm{h}$ of $\mathrm{CO}$. The windrose plotted using the meteorological data ...

Ms. Anita uses a BS-IV two wheeler petrol scooter, with a mileage of $50 \mathrm{~km} / \mathrm{L}$, to travel $30 \mathrm{~km}$ every day. She exchanges this two wheeler...

Ultimate analysis of a municipal solid waste sample is given below\begin{array}{|c|c|c|c|c|}\hline { Percent by weight } \\\hline Carbon & Hydrogen & Oxygen & Nitrogen & ...

An aeration tank needs to be installed for the removal of VOC from water, where the required rate of flow of water through the aeration tank is $180,000 \mathrm{~m}^{3} /...

An adult of $65 \mathrm{~kg}$ weight and life span of 65 years drinks water for 5 years, which is contaminated with toluene of concentration $0.15 \mathrm{mg} / \mathrm{L...