List of top Questions asked in Indian Institute Of Technology Joint Admission Test for MSc

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 $𝑔 = 9.8 𝑚𝑠^{−2}$)

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 $𝑔 = 9.8 𝑚𝑠^{−2}$)

Adenine constitutes 0.16 mole fraction in a given single-stranded DNA. What is the mole fraction of uracil in the resultant RNA, if this entire DNA fragment is transcribed?

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

A cylinder contains 50 𝐿 of an ideal gas at a pressure of 50 𝑎𝑡𝑚. Assuming that the temperature remains unchanged, the volume of the gas at 1 𝑎𝑡𝑚 is __________ 𝐿 (rounded off to the nearest integer).

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 = $3 × 10^8 𝑚𝑠^{−1}$)

For a given square, if the area of its incircle is $100 𝑐𝑚^2$ , then the area of its circumcircle is __________ $𝑐𝑚^2$ (rounded off to the nearest integer).

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).

One molecule of the protein myoglobin contains one atom of iron. A myoglobin sample was found to contain 0.34% iron. The molecular weight of myoglobin is _________ $𝑔 𝑚𝑜𝑙^{−1}$ (rounded off to the nearest integer).
(Use $55.9 𝑔 𝑚𝑜𝑙^{−1}$ as atomic mass of iron)

A wooden plant accumulates $10 𝑚𝑔 𝑘𝑔^{−1}$ of $^{14}C$ during its life span. A fossil of this plant was discovered and contains $2.5 𝑚𝑔 𝑘𝑔^{−1}$ of $^{14}C$. The age of this fossil at the time of discovery is years (rounded off to the nearest integer).
(Use 5730 years as half-life of $^{14}C$)

Chromosome duplication during the cell cycle occurs in

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).

If a variable 𝑧 shows a standard normal distribution, then the percent probability that $0 ≤ 𝑧^2 ≤ 1$ is ________ (rounded off to the nearest integer).

In DNA replication, the Okazaki fragments are joined by

In chick embryo, the ectoderm generates

Genes in two species that are derived from the same ancestral gene in their most recent common ancestor are called

Match the morphology in Group I with the corresponding microorganism in Group II

Group I	Group II
P. Coccus	1. Treponema
Q. Rod	2. Bacillus
R. Comma	3. Neisseria
S. Spiral	4. Vibrio

An object is placed 15 𝑐𝑚 in front of a convex mirror, which has a radius of curvature 30 𝑐𝑚. Which one of the following is true of the image formed?

Competition between two populations in an ecosystem is

A bacterial cell suspension contains $2 x 10^5 $ 𝑐𝑒𝑙𝑙𝑠 𝑚𝐿^{−1}. The volume of this suspension required to obtain $1.4 x 10^6$ 𝑐𝑒𝑙𝑙𝑠 is ________ 𝑚𝐿 (rounded off to the nearest integer).

Ammonia is synthesized in the Haber process in the following reaction.
$𝑁_2 (𝑔) + 3𝐻_2 (𝑔) → 2𝑁𝐻_3(𝑔)$ 
The temperature above which the reaction becomes spontaneous is __________ 𝐾 (rounded off to one decimal place). 
($\bigtriangleup 𝐻^0 = −92.2 𝑘𝐽, \bigtriangleup 𝑆^0 = −199 𝐽𝐾^{ −1}$ )

In the given molecule,

the number of chiral centers is _______.

Determine the correctness or otherwise of the following Assertion [a] and the Reason [r].
Assertion [a]: The resolving power of a transmission electron microscope is higher than that of the light microscope.
Reason [r]: The wavelength of electrons is shorter than that of visible light.

RNA is a polymer of

Ionic character of the covalent bonds in the compounds Cl2, HCl, NaCl, NaF follows the order