Previous Year Questions

QUESTION ID:2

Among K⁺ , Li⁺ , Rb⁺ , Cs⁺ , the number of cation(s) having ionic radii more than Na⁺ is/are _______.

QUESTION ID:3

Among the five fragments given below,

the number of fragment(s) accelerated to the analyzer tube in mass spectrometer with electron ionization is/are _______. 

QUESTION ID:4

A restriction endonuclease has a recognition site of 3 bases. Assuming random arrangement of nucleotides, the probability that this endonuclease will cut a piece of DNA is _______ (rounded off to three decimal places). 

QUESTION ID:5

A massless ideal spring is hanging vertically. A sphere of mass of 500 g, suspended from the spring, stretches the spring from its initial position by 50 cm when it reaches equilibrium. The force constant of the spring is _______ N m^-1 . (Use g=10 m s^-2 

QUESTION ID:6

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:7

The order of differential equation 

QUESTION ID:8

The value of  _________.

QUESTION ID:9

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:10

K_m and V_max of an enzyme preparation are 5 µM and 30 µM min^-1 respectively. Considering, K_i 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:11

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:12

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:13

Given data consists of distinct values of 𝑥_𝑖 occurring with frequencies 𝑓_𝑖 . The mean value for the data is _______. (rounded off to one decimal place) 

QUESTION ID:14

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:15

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:16

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:17

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:18

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).