GATE2020: 18

soujanyareddy13 asked in Others Nov 3, 2020 retagged Mar 18, 2021 by Lakshman Patel RJIT

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Given that $Z=X^{2}+Y^{2}$, the value of $\dfrac{\partial Z}{\partial X}$ for $X=1$ and $Y=0$ is ________________ (answer is an integer).

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differential-equations
partial-differential-equation

soujanyareddy13 asked in Others Nov 3, 2020 retagged Mar 18, 2021 by Lakshman Patel RJIT

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soujanyareddy13 asked in Others Nov 3, 2020

GATE2020: 25
A variable $Y$ is a function of $t$. Given that $Y\left ( t=0 \right )=1$ and $Y\left ( t=1 \right )=2,\dfrac{dY}{dt}$ in the interval $t=\left [ 0,1 \right ]$ can be approximated as _________________.

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soujanyareddy13 asked in Others Nov 3, 2020

GATE2019: 12
Which one of the following equations represents a one-dimensional wave equation? $\dfrac{\partial u}{\partial t}=C^{2}\dfrac{\partial ^{2}u}{\partial x^{2}} \\$ $\dfrac{\partial ^{2}u}{\partial t^{2}}=C^{2}\dfrac{\partial ^{2}u}{\partial x^{2}} \\$ ... $\dfrac{\partial ^{2}u}{\partial t^{2}}+\dfrac{\partial ^{2}u}{\partial x^{2}}=0$

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soujanyareddy13 asked in Others Nov 3, 2020

GATE2020: 21
The number of molecules of a nucleotide of molecular weight $300\:g$/mol present in $10$ picomoles is ____________ $\times10^{12}$ (round off to $2$ decimal places).

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soujanyareddy13 asked in Others Nov 3, 2020

GATE2020: 22
To facilitate mass transfer from a gas to a liquid phase, a gas bubble of radius $r$ is introduced into the liquid. The gas bubble then breaks into $8$ bubbles of equal radius. Upon this change, the ratio of the interfacial surface area to the gas phase volume for the system changes from $3/r$ to $3n/r$. The value of $n$ is _____________________.

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soujanyareddy13 asked in Others Nov 3, 2020

GATE2020: 43
The sequence of a $1$ $Mb$ long $DNA$ is random. This $DNA$ has all four bases occurring in equal proportion. The number of nucleotides, on average, between two successive $EcoRI$ recognition site $GAATTC$ is ____________.

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