QUESTION ID:1
Whales can dive undersea to depths of 2 km. The pressure on the whale at this depth (ignoring atmospheric pressure) is _______ × 106 Pa.
(Density of sea water = 1 g cm-3 and g =10 m s-2 )
QUESTION ID:2
The order of differential equation
QUESTION ID:3
The value of _________.
QUESTION ID:4
The ∆G´ and K´eq values of ATP hydrolysis are -32.34 kJ mol-1 and 4.6 x105 , respectively. The ∆G´ and K´eq values of enzymatic hydrolysis of glucose-6- phosphate to glucose and phosphate are -13.18 kJ mol-1 and 203.8, respectively. The ∆G´ value of reaction of glucose-6-phosphate formation from glucose and ATP by hexokinase is _______ kJ mol-1 (rounded off to 2 decimal places). [All reactions are carried out at pH 7.0 and 25 °C].
QUESTION ID:5
Km and Vmax of an enzyme preparation are 5 µM and 30 µM min-1 respectively. Considering, Ki value of competitive inhibitor is 60 µM, the velocity (V0) of this enzyme-catalyzed reaction in the presence of 200 µM of substrate and 600 µM of competitive inhibitor is _______ µM min-1 (rounded off to two decimal places).
QUESTION ID:6
The heat required to convert 2 kg of water at 20 °C in a calorimeter to steam at 100 °C and at atmospheric pressure (1 atm) is _______ kJ. (Specific heat capacity of water is 4.2 kJ kg-1 K -1 and latent heat of steam is 2256 kJ kg-1 )
QUESTION ID:7
An electron is accelerated from rest through a potential difference of 200 V. The de Broglie wavelength associated with this electron is _______ nm. (Rounded off to 2 decimal places) (Planck’s constant = 6.6 × 10-34 J s, 1eV=1.6 × 10-19 J, mass of an electron = 9.1×10 -31 kg)
QUESTION ID:8
Given data consists of distinct values of 𝑥𝑖 occurring with frequencies 𝑓𝑖 . The mean value for the data is _______. (rounded off to one decimal place)
QUESTION ID:9
A random variable X and its probability distribution is given below. The value of P(X<5) is _______. (rounded off to one decimal place)
QUESTION ID:10
A protein solution of 1 µM has transmission of 40 % at 280 nm, when measured in a 1 cm cuvette using a UV-Visible spectrophotometer. The transmission of the same solution, when measured using a 2 cm cuvette is _______ %. (rounded off to the nearest integer)
QUESTION ID:11
If a bacterial culture with a doubling time of 30 minutes starts with two cells, then the number of cells after 4 hours are _______.
QUESTION ID:12
The rate of transcription in a bacterium is 50 nucleotides/min and the average molecular weight of an amino acid is 110 Da. Time taken for synthesis of the mRNA of a protein with molecular weight of 110 kDa is _______ min. (rounded off to one decimal place) Assume no abortive transcriptions and no sequences upstream of the start codon.
QUESTION ID:13
Consider a first order reaction 𝐴 → 𝐵. The initial concentration of 𝐴 is 100 mol L-1 and the value of first order rate constant is 0.01 min-1 . The concentration of 𝐴 after 10 min of reaction is __________ mol L-1 (rounded off to one decimal place).