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121
GATE BT 2023 | Question: 46
If $1000 \mathrm{bp}$ of a double-helical DNA weighs $1 \times 10^{-18} \mathrm{gm}$ and distance between two $\mathrm{bp}$ is $0.34 \mathrm{~nm}$, the total amount of DNA (in mg, rounded off to one decimal place) required to stretch from Earth to Moon (assuming the distance between Earth and Moon to be $3,74,000 \mathrm{~km}$ ) is ______________.
If $1000 \mathrm{bp}$ of a double-helical DNA weighs $1 \times 10^{-18} \mathrm{gm}$ and distance between two $\mathrm{bp}$ is $0.34 \mathrm{~nm}$, the total amount of DN...
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May 21, 2023
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122
GATE BT 2023 | Question: 47
A protein has three identical sites arranged at the vertices of an equilateral triangle. If one site is filled with a dye (donor), the measured quantum yield $\left(\phi_{D}\right)$ is $0.5$. Filling one site with a donor dye and a ... of one site filled with donor and the other two sites filled with acceptor dye (rounded off to three decimal places) is _____________.
A protein has three identical sites arranged at the vertices of an equilateral triangle. If one site is filled with a dye (donor), the measured quantum yield $\left(\phi_...
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May 21, 2023
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gatebt-2023
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123
GATE BT 2023 | Question: 48
If $A=\left(\begin{array}{ll}1 & 2 \\ 3 & 5\end{array}\right)$, the value of $\left|A^{4}+3 A^{2}-5 A+6 I\right|$ is _____________.
If $A=\left(\begin{array}{ll}1 & 2 \\ 3 & 5\end{array}\right)$, the value of $\left|A^{4}+3 A^{2}-5 A+6 I\right|$ is _____________.
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May 21, 2023
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gatebt-2023
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124
GATE BT 2023 | Question: 49
If $f(x)=\frac{\sin x+\cos x}{\sin x-\cos x}$, the value of $f^{\prime}(x)$ at $x=0$ is ___________.
If $f(x)=\frac{\sin x+\cos x}{\sin x-\cos x}$, the value of $f^{\prime}(x)$ at $x=0$ is ___________.
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May 21, 2023
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125
GATE BT 2023 | Question: 50
If $f(2)=5$ and $(f(x))(f(x+1))=3$ for all real values of $x$, the value of $f(10)$ is ____________.
If $f(2)=5$ and $(f(x))(f(x+1))=3$ for all real values of $x$, the value of $f(10)$ is ____________.
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May 21, 2023
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126
GATE BT 2023 | Question: 51
Ten playing cards numbered $1,2,3, \ldots, 10$ are placed face down on a table. One card is drawn at random, its number recorded, and then replaced face down. A card is drawn again at random. The probability that the number on the second draw is greater than the number on the first draw (rounded off to two decimal places) is ___________.
Ten playing cards numbered $1,2,3, \ldots, 10$ are placed face down on a table. One card is drawn at random, its number recorded, and then replaced face down. A card is d...
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May 21, 2023
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127
GATE BT 2023 | Question: 52
The values of the consistency index ' $K$ ' and the flow behavior index ' $n$ ' of a dilatant fluid are 0.415 (in CGS units) and $1.23$, respectively. The value of the apparent viscosity (in $g . \mathrm{cm}^{-1} . \mathrm{s}^{-1}$ ) of this fluid at a shear rate of $60 \mathrm{~s}^{-1}$ (rounded off to the nearest integer) is _____________.
The values of the consistency index ' $K$ ' and the flow behavior index ' $n$ ' of a dilatant fluid are 0.415 (in CGS units) and $1.23$, respectively. The value of the ap...
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May 21, 2023
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128
GATE BT 2023 | Question: 53
An evaporator is insulated using glass wool material of $0.15 \mathrm{~m}$ thickness. The inner most surface and the outer surface of the insulation are at $700{ }^{\circ} \mathrm{C}$ and $80^{\circ} \mathrm{C}$, respectively. The mean thermal ... in $W$ ) through $1.2 \mathrm{~m}^2$ of the evaporator wall surface (rounded off to the nearest integer) is ______________.
An evaporator is insulated using glass wool material of $0.15 \mathrm{~m}$ thickness. The inner most surface and the outer surface of the insulation are at $700{ }^{\circ...
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May 21, 2023
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129
GATE BT 2023 | Question: 54
A proportional controller is used to control the temperature of an autoclave from $60^{\circ} \mathrm{C}$ to $130^{\circ} \mathrm{C}$. If the proportional band setting of the controller is $25 \%$, the proportional gain value is ___________.
A proportional controller is used to control the temperature of an autoclave from $60^{\circ} \mathrm{C}$ to $130^{\circ} \mathrm{C}$. If the proportional band setting of...
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May 21, 2023
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130
GATE BT 2023 | Question: 55
A dNTP master-mix is prepared by combining $40 \mu L$ of each $20 \mathrm{mM}$ dNTP stock (dATP, dCTP, dGTP and dTTP). $4 \mu L$ of this dNTP master-mix is added to a PCR mix and the final volume is adjusted to $50 \mu L$. The concentration (in $\mu M$ ) of total dNTPs in the $\text{PCR}$ mix is _____________.
A dNTP master-mix is prepared by combining $40 \mu L$ of each $20 \mathrm{mM}$ dNTP stock (dATP, dCTP, dGTP and dTTP). $4 \mu L$ of this dNTP master-mix is added to a PCR...
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May 21, 2023
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