The number of natural numbers n in the interval [1005, 2010] for which the polynomial 1 + x + x^2 + x^3 + …. x^n–1
divides the polynomial 1 + x^2 + x^3 + x^4 + …. + x^2010 is-
(A) 0 (B) 100 (C) 503 (D) 1006
A cylindrical copper rod has length L and resistance R. If it is melted and formed into another rod of length 2L, the resistance will be
option
(A) R
(B) 2R
(C) 4R
(D) 8R
Saline drip is given to a Cholera patient because-
(A) NaCl kills Vibrio cholera
(B) NaCl generates ATP
(C) Na+ ions stops nerve impulse and hence sensation of pain
(D) Na+ ions help in retention of water in body tissue
When chlorine gas is passed through an aqueous solution of KBr, the solution turns orange brown due to the
formation of
(A) KCl (B) HCl (C) HBr (D) Br2
Selection of lysine auxotroph (bacteria which requires lysine for growth) from a mixed population of bacteria
can be done by growing the bacterial population in the presence of-
(A) lysine (B) penicillin (C) lysine and penicillin (D) glucose
The standard Gibbs free energy change (ΔGº in kJ mol–1), in a Daniel cell ( Eº 1.1 V
cell = ), when 2 moles of
Zn(s) is oxidized at 298 K, is closest to
(A) – 212.3 (B) – 106.2 (C) – 424.6 (D) – 53.1
One mole of an ideal gas at initial temperature T, undergoes a quasi-static process during which the volume
V is doubled. During the process the internal energy U obeys the equation U = aV3, where a is a constant.
The work done during this process is-
(A) 3RT / 2 (B) 5RT / 2 (C) 5RT / 3 (D) 7RT / 3
A train leaves Pune at 7 : 30 am and reaches Mumbai at 11 : 30 am. Another train leaves Mumbai at 9 : 30 am and reaches Pune at 1 :00 pm. Assuming that the two trains travels at constant speeds, at what time do the two trains cross each other
option
(A) 10: 20 am
(B) 11 : 30 am
(C) 10 : 26 am
(D) Data not sufficient
A container with rigid walls is covered with perfectly insulating material. The container is divided into two
parts by a partition. One part contains a gas while the other is fully evacuated (vacuum). The partition is
suddenly removed. The gas rushes to fill the entire volume and comes to equilibrium after a little time. If the
gas is not ideal,
(A) the initial internal energy of the gas equals its final internal energy
(B) the initial temperature of the gas equals its final temperature
(C) the initial pressure of the gas equals its final pressure
(D) the initial entropy of the gas equals its final entropy