Previous Year Questions

QUESTION ID:2

The wavelength of visible light for the green color is 600 𝑛𝑚. The energy of photons of this color is __________ 𝑒𝑉 (rounded off to one decimal place). (Planck’s constant = 6.63 × 10⁻³⁴ 𝐽𝑠, 1 𝑒𝑉 = 1.6 × 10⁻¹⁹ 𝐽, speed of light = 3 × 10⁸ 𝑚𝑠⁻¹ )

QUESTION ID:3

A ball dropped from a bridge hits the surface of the water in 3 𝑠. The height of the bridge, ignoring air resistance, is __________ 𝑚 (rounded off to one decimal place). (Use 𝑔 = 9.8 𝑚𝑠⁻² )

QUESTION ID:4

For a given square, if the area of its incircle is 100 𝑐𝑚² , then the area of its circumcircle is __________ 𝑐𝑚² (rounded off to the nearest integer).

QUESTION ID:5

The number of peaks in the ¹H NMR spectrum of methoxymethane (𝐶𝐻₃𝑂𝐶𝐻₃) is __________.

QUESTION ID:6

The amount of agarose required to prepare 250 𝑚𝐿 of 0.8% agarose gel is __________ 𝑔𝑟𝑎𝑚𝑠 (rounded off to the nearest integer).

QUESTION ID:7

Three genes x, y, and z are located on a chromosome in a linear order. If the recombination frequencies between x and y is 0.15, and between y and z is 0.10, then the expected frequency of double crossovers is __________ (rounded off to three decimal places). 

QUESTION ID:8

A bacterial cell suspension contains 2 x 10⁵ 𝑐𝑒𝑙𝑙𝑠 𝑚𝐿⁻¹ . The volume of this suspension required to obtain 1.4 x 10⁶ 𝑐𝑒𝑙𝑙𝑠 is __________ 𝑚𝐿 (rounded off to the nearest integer).

QUESTION ID:9

The data provided in the table were obtained from the following reaction, carried out at 273 𝐾.

A + B → C

The order of the reaction with respect to 𝐴 is __________.

QUESTION ID:10

Ammonia is synthesized in the Haber process in the following reaction.

 𝑁₂ (𝑔) + 3𝐻₂ (𝑔) → 2𝑁𝐻₃(𝑔)

The temperature above which the reaction becomes spontaneous is __________ 𝐾 (rounded off to one decimal place). (∆𝐻 ⁰ = −92.2 𝑘𝐽, ∆𝑆 ⁰ = −199 𝐽𝐾 ⁻¹ )

QUESTION ID:11

In the given molecule,

the number of chiral centers is __________. 

QUESTION ID:12

Two resistors 2 Ω and 4 Ω are combined in parallel. If this combination is connected to a battery of 16 𝑉, the maximum current that can be drawn from the battery is __________ 𝐴 (rounded off to the nearest integer).

QUESTION ID:13

A box of mass 20 𝑘𝑔 is pulled at constant speed across a floor by a rope. The rope makes an angle of 45° with the horizontal. Assuming that friction is negligible, the work done in pulling the box by a distance of 20 𝑚 is __________ 𝐽 (rounded off to the nearest integer). (Use 𝑔 = 9.8 𝑚𝑠⁻² )

QUESTION ID:14

Consider an enzyme that follows simple Michaelis-Menten kinetics, and has a 𝐾_𝑀 of 5 µ𝑀. The initial velocity of the reaction will be 10% of the maximum velocity at a substrate concentration of __________ µ𝑀 (rounded off to two decimal places).

QUESTION ID:15

The value of is __________(rounded off to the nearest integer).

QUESTION ID:16

A population of 1000 plants are in Hardy-Weinberg equilibrium. Two alleles R and r determine a particular trait in this population. If the number of plants with RR genotype is 640, Rr genotype is 320 and rr genotype is 40, the frequency of r allele (in percentage) in this population is __________ (rounded off to the nearest integer).

QUESTION ID:17

If a fair coin is tossed two times, the probability that the first or the second toss will be heads is __________ (rounded off to two decimal places).

QUESTION ID:18

The restriction map of a circular plasmid is shown below, along with the indicated distances between the restriction sites.

The plasmid was completely digested with EcoRI, and XhoI. The products were analysed by agarose gel electrophoresis followed by ethidium bromide staining. The number of bands that will be visible in the gel when exposed to UV light is __________.