Recent questions tagged numerical-answers

​​Schmidt number is defined as$\frac{\text { Mass Diffusivity }}{\text { Thermal Diffusivity }}$$\frac{\text { Momentum Diffusivity }}{\text { Mass Diffusivity }}$$\frac{...

​​​A probability distribution function is given as$$p(x)=\left\{\begin{array}{ll} \frac{1}{a}, & x \in(0, a) \\ 0, & \text { otherwise } \end{array}\right.$$where $a$ is ...

Consider the matrix$$A=\left[\begin{array}{ll} 2 & 3 \\ 1 & 2\end{array}\right]$$The eigenvalues of the matrix are $0.27$ and $\_\_\_\_$ (rounded off to $2$ decimal place...

An ideal monoatomic gas is contained inside a cylinder-piston assembly connected to a Hookean spring as shown in the figure. The piston is frictionless and massless. The ...

Consider a process with transfer function$$G_{p}=\frac{2 e^{-s}}{(5 s+1)^{2}}$$A first-order plus dead time $\text{(FOPDT)}$ model is to be fitted to the unit step proces...

The block diagram of a series cascade control system (with time in minutes) is shown in the figure. For $\tau_{l}=8 \: \mathrm{~min}$ and $K_{c}^{s}=1$, the maximum value...

​​​​​In a locality, the houses are numbered in the following way:The house-numbers on one side of a road are consecutive odd integers starting from $301$, while the house...

​​​Which one of the given options is a possible value of $x$ in the following sequence?\[3,7,15, x, 63,127,255\]$35$$40$$45$$31$

​​​​​Three distinct sets of indistinguishable twins are to be seated at a circular table that has $8$ identical chairs. Unique seating arrangements are defined by the rel...

During a half-moon phase, the Earth-Moon-Sun form a right triangle. If the Moon-Earth-Sun angle at this half-moon phase is measured to be $89.85^{\circ}$, the ratio of th...

Consider the normal probability distribution function\[f(x)=\frac{4}{\sqrt{2 \pi}} e^{-8(x+3)^{2}}\]If $\mu$ and $\sigma$ are the mean and standard deviation of $f(x)$ re...