Questions by admin

Given, $y=f(x) ; \frac{d^{2} y}{d x^{2}}+4 y=0 ; y(0)=0 ; \frac{d y}{d x}(0)=1$. The problem is a/aninitial value problem having solution $\mathrm{y}=x$boundary value pro...

Eigen values of the matrix $\left[\begin{array}{cc}0 & 1 \\ -2 & 3\end{array}\right]$ are$1$ and $2$$1$ and $3$$1$ and $-2$$0$ and $3$

For an exponentially growing microbial culture, the specific growth rate $(\mu)$ is related to its doubling time $\left(\mathrm{t}_{\mathrm{d}}\right)$ by which one of th...

A microbial culture, with a specific growth rate of $\mu_{1}$ (per hour), is being grown in a continuous reactor at steady state with hydraulic retention time (HRT) of $2...

Which one of the following statements is NOT correct with respect to a batch reactor?No reactant is added after the reactor has started operation.No product is withdrawn ...

A bag filter is used for removal of particulate matter having a range of sizes. The correct sequence of air filtration mechanisms for their removal, in order of decreasin...

A relatively calm room has background sound power level (SPL) of 30 decibels (dB). A television and a radio with SPL of $80 \mathrm{~dB}$ and $70 \mathrm{~dB}$, respectiv...

During night, in troposphere, which of the following is/are NOT correct$\quad \mathrm{NO}_{2}+\mathrm{ho} \rightarrow \mathrm{NO}+\mathrm{O}$Most of the $\mathrm{NOx}$ (i...

A typical plasmid-free bacterial cell having a single chromosome consists of $\sim 55 \%$ protein, $\sim 3 \%$ DNA and $\sim 21 \%$ RNA, where " $\% "$ " represents perce...

Average values of the re-aeration rate constant for river $\mathrm{X}$ and river $\mathrm{Y}$ are $0.92$ per day and $1.12$ per day, respectively. Average de-oxygenation ...

Which of the following statement(s) is/are NOT correct while comparing continuously stirred tank reactor (CSTR) and plug flow reactor (PFR)?CSTR and PFR are normally oper...

According to the National Ambient Air Quality Standards (Central Pollution Control Board, Govt. of India, notification 2009) which of the following statement(s) is/are co...

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 temperat...

As per the Solid Waste Management Rules of 2016 (Govt. of India), which of the following statement(s) is/are correct?Biodegradable wastes should be processed biologically...

Carbon cycle, nitrogen cycle and phosphorus cycle play important role in the 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?NGT Act 2010 draws inspiration from the India's constitutional provisi...

The area of the region (rounded off to one decimal place) enclosed between the curves $y=x$ and $y=3 \sqrt{x}$ and between the lines $x=0$ and $x=1$ is ________ units.

An individual has four different email accounts. $60 \%$ of emails come into his corporate account, $30 \%$ come into his gmail account and remaining $10 \%$ are equally ...

A solution has $0.001$ mole/L zinc ions having $\mathrm{pH}$ of $6$. Solubility product of zinc hydroxide is given as $8 \times 10^{-18}(\mathrm{~mole} / \mathrm{L})^{3}$...

The Henry's law constant of $\mathrm{CO}_{2}$ is $3.4 \times 10^{-2} \mathrm{M}$ per atm in neutral water at $25^{\circ} \mathrm{C}$. The dissolved $\mathrm{CO}_{2}$ (i.e...