www.nestexam.in NEST 2012 : Previous Question Paper
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1.1 Consider a non-rotating black hole B1 and a rotating black hole B2, both having the same mass M. Choose the correct statement.
(A) The entropy of B2 is less than the entropy of B1.
(B) The entropy of B2 is more than the entropy of B1.
(C) The entropy of B2 is the same as that of B1.
(D) The sum of the entropies of B1 and B2 will always remain constant.
1.2 Assume that the process of energy extraction from a black hole takes place with maximum efficiency. Choose the correct statement.
(A) Both the mass and angular momentum of the black hole will remain constant in the process.
(B) Both the mass and angular momentum of the black hole will decrease in the process.
(C) Only the mass of the black hole will decrease by E/c2 (where E is total energy extracted), while angular momentum of the black hole will remain constant.
(D) Both the mass and surface area of the black hole will decrease in the process.
1.4 In the country of Raritania, 10,000 live births took place on April 1, which is its independence day. The government decided that a pair of randomly chosen children born on this day will receive full free education. The probability that the chosen pair will be a twin is about
(A) 4 × 10-2 (B) 1.6 × 10-3 (C) 4 × 10-5 (D) 4 × 10-6
1.5 In a study, three samples X, Y and Z of equal sizes are taken from a large eye hospital. X consists of pairs of identical twins, Y consists of pairs of fraternal twins and Z of sibling pairs who are not twins. P, Q, R and S are four diseases of the eye. Table below gives the number of pairs in each sample where both members test positive for a disease as indicated in the first column.
Diseases X Y Z
P 14 9 12
Q 59 36 31
R 7 11 8
S 23 12 7
Based on the table, which of the diseases are most likely to have a genetic origin?
(A) P & Q (B) R & S (C) Q & S (D) P & R
1.6 Which of the following characteristics need not be the same for identical twins?
(A) Colour of eyes (B) Blood group (C) Palm fingerprint pattern (D) Sex
1.7 10 drops of a liquid haloalkane having density of 2 g/mL and molecular mass 150 g/mol have volume of 5 mL. The number of molecules in one drop of haloalkane is
(A) 2.0 × 1021 (B) 4.0 × 1021 (C) 2.5 × 1023 (D) 6.0 × 1023
1.8 An astronaut camps on the moon for a period of one month as per the earth’s calendar. What would be the path of the earth seen by the astronaut in the lunar sky?
(A) The earth remains approximately at a fixed altitude and direction.
(B) The earth completes one revolution parallel to the lunar horizon in one month.
(C) The earth completes one revolution from east (direction of rising sun) to west (direction of setting sun) in one month.
(D) The earth completes one circle around the Pole Star in one month but never goes below the horizon
1.9 A pole fixed on the ground is leaning away from the vertical. When the Sun is directly overhead, the length of its shadow is 7.5m. An observer standing 30m away from the base of the pole in the direction of the shadow, measures the angle of elevation of the top of the pole to be 30o. Find the length of the pole. Ignore the height of the observer.
(A) 7.5m (B) 15m (C) 22.5m (D) 30m
1.10 A number written as 213 in quadral system (number system with base 4) will be represented in hexal system (number system with base 6) as
(A) 23 (B) 39 (C) 103 (D) 303
1.13 Which of the following is thought NOT to be associated with the Homo Erectus?
(A) Use of fire (B) Hunting (C) Use of tools (D) Language with script
1.14 The priority-dispute regarding the discovery of calculus in mathematics involved:
(A) Newton and Leibnitz (B) Fermat and Gauss (C) Newton and Gauss (D) Leibnitz and Fermat
1.15 The existence of dark energy is inferred by the observation of
(A) rotation curves of galaxies. (B) accelerated expansion of the universe.
(C) existence of microwave background radiation. (D) Hawking radiation from black holes.
1.16 When a person is bitten by a red ant, the burning sensation is due to
(A) formic acid. (B) acetic acid. (C) carbonic acid. (D) ammonium acetate.
1.17 Taking into account the abundances of different elements in the country used for nuclear energy production, the Indian nuclear energy programme is likely to eventually rely on
(A) Uranium–235 (B) Uranium–238 (C) Thorium–232 (D) Plutonium–239
1.18 Which of the following is NOT a correct example of natural selection?
(A) Emergence of vegetarianism in human society (B) Long necks of giraffes (C) Opposable thumb in great apes (D) Appearance of drug resistant bacterium
1.19 Which of the following is NOT an operating system?
(A) Linux (B) MS Windows (C) MS Word (D) MS DOS
2.1 In plants when one sperm fertilizes the egg and the other fertilizes the polar bodies, the process is referred to as double fertilization. This results in the formation of
(A) diploid zygote and diploid endosperm.
(B) diploid zygote and triploid endosperm.
(C) diploid zygote and tetraploid endosperm.
(D) tetraploid zygote and tetraploid endosperm.
Last edited by mariammal; January 14th, 2012 at 04:56 PM.
5.6 A spherical dewdrop, when deformed slightly, oscillates about its equilibrium shape. The
physically relevant variables to describe the frequency of this oscillation f are its mass
M, radius R and a third variable Q, where Q could be either the universal gravitational
constant G or the surface tension S. One must decide the relevant variable Q and employ
dimensional analysis to express f as
f = kMx
R
y
Q
z
,
where k is a dimensionless constant. Then
A spherical dewdrop, when deformed slightly, oscillates about its equilibrium shape. The physically relevant variables to describe the frequency of this oscillation f are its mass M, radius R and a third variable Q, where Q could be either the universal gravitational
constant G or the surface tension S. Onemust decide the relevant variable Q and employ dimensional analysis to express f as
f = kMxRyQz, where k is a dimensionless constant.