Biotechnology
GATE BT format:nat PYQs
Build your understanding with focused practice from past exam papers.
Questions 161–170 of 201. Imported answers require independent review unless marked reviewed.
Question 55
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The dimensions and operating condition of a lab-scale fermentor are as follows:
Volume = 1 L
Diameter = 20 cm
Agitator speed = 600 rpm
Ratio of impeller diameter to fermentor diameter = 0.3
This fermentor needs to be scaled up to 8,000 L for a large scale industrial application. If the scale-up is based on constant impeller tip speed, the speed of the agitator in the larger reactor is ______ rpm. Assume that the scale-up factor is the cube root of the ratio of fermentor volumes.
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The determinant of the matrix
is ________Log in to check the answer
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The variable
has a standard normal distribution. If
, then
is equal to (up to two decimal places) ________Log in to check the answer
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The absorbance of a solution of tryptophan measured at 280 nm in a cuvette of 2.0 cm path length is 0.56 at pH 7. The molar extinction coefficient (ε) for tryptophan at 280 nm is 5600 M⁻¹cm⁻¹ at pH 7. The concentration of tryptophan (in μM) in the solution is ________
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A single stem cell undergoes 10 asymmetric cell divisions. The number of stem cells at the end is ________
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Genomic DNA isolated from a bacterium was digested with a restriction enzyme that recognizes a 6-base pair (bp) sequence. Assuming random distribution of bases, the average length (in bp) of the fragments generated is ________
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Calculate the following integral (up to two decimal places)
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The probability distribution for a discrete random variable
is given below. | 1 | 2 | 3 | 4 |
|---|---|---|---|---|
| 0.3 | 0.4 | 0.2 | 0.1 |
The expectation value of
is (up to one decimal place)
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If
, then,
(up to two decimal places)
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Moist heat sterilization of spores at 121 °C follows first order kinetics as per the expression:
where, N is the number of viable spores, t is the time, k_d is the rate constant and
is the rate of change of viable spores.
If
value is 1.0 min⁻¹, the time (in minutes) required to reduce the number of viable spores from an initial value of
to a final value of 1 is (up to two decimal places)
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