Questions for 22-10-2007

1.

STATEMENT-1: Molecules that are not superimposable on their mirror images are chiral.

Because

STATEMENT-2: All chiral molecules have chiral centres.

(A) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1
(B) Statement-1 is True, Statement-2 is True; Statement-2 is not a correct explanation for Statement-1
(C) Statement-1 is True, Statement-2 is False
(D) Statement-1 is False, Statement-2 is True




2. In the experiment to determine the speed of sound using a resonance column,
(A) prongs of the tuning fork are kept in a vertical plane
(B) prongs of the tuning fork are kept in a horizontal plane
(C) in one of the two resonances observed, the length of the resonating air column is close to the wavelength of sound in air
(D) in one of the two resonances observed, the length of the resonating air column is close to half the wavelength of sound in air



3. If a, b, c be unit vectors such that a + b + c = 0. Which one of the following is correct?
(A) a × b = b × c = c × a = 0
(B) a × b = b × c = c × a is not equal to 0
(C) a × b = b × c = a × c is not equal to 0
(D) a × b, b × c, c × a are mutually perpendicular

Answers for questions on 21-10-2007

to be posted

Questions for 21-10-2007

1. A student performs an experiment to determine the Young’s modulus of a wire, exactly 2m long, by Searle’s method. In a particular reading, the student measures the extension in the length of the wire to be 0.8 mm with an uncertainty of ± 0.05 mm at a load of exactly 1.0 kg. The student also measures the diameter of the wire to be 0.4 mm with an uncertainty of ± 0.01 mm. Take g = 9.8 m/s^2 (exact). The Young’s modulus obtained from the reading is

(A) (2.0 ± 0.3)*10^11 N/m^2
(B) (2.0 ± 0.2)*10^11 N/m^2
(C) (2.0 ± 0.1)*10^11 N/m^2
(D) (2.0 ± 0.05)*10^11 N/m^2






2.Consider a titration of potassium dichromate solution with acidified Mohr’s salt solution using diphenylamine as indicator.

The number of moles of Mohr’s salt required per mole of dichromate is
(A) 3 (B) 4 (C) 5 (D) 6



IIT.JEE 2007 SOLUTIONS.MATHEMATICS
3. The letters of the word COCHIN are permuted and all the permutations are arranged in an alphabetical order as in an English dictionary. The number of words that appear before the word COCHIN is


(A) 360 (B) 192 (C) 96 (D) 48

Answers to Questions of 20-10-2007

1.B
2.A
3.A

Questions for 20-10-2007

1.

Statement - 1
If the accelerating potential in an X-ray tube is increased, the wavelengths of the characteristic X-rays do not change.

Because

Statement - 2
When an electron beams strikes the target in an X-ray tube, part of the kinetic energy is converted into X-ray energy.

(A) Statement – 1 is True, Statement – 2 is True; Statement – 2 is a correct explanation for
statement – 1
(B) Statement – 1 is True, Statement – 2 is True; Statement – 2 is Not a correct explanation for
Statement – 1.
(C) Statement – 1 is True, Statement – 2 is False
(D) Statement – 1 is False, Statement – 2 is True




2.
When 20 g of naphthoic acid (C-11 H-8 O-2) is dissolved in 50 g of benzene  [K(f) = 1.72 K kg mol^ -1], a freezing point depression of 2 K is observed. The van’t Hoff factor (i) is

(A) 0.5
(B) 1
(C) 2
(D) 3



3.

Tangents are drawn from the point (17, 7) to the circle x^2 + y^2 = 169.

Statement - 1
The tangents are mutually perpendicular.

Because

Statement - 2
The locus of the points from which mutually perpendicular tangents can be drawn to the given circle is x^2 + y^2 = 338.

(A) Statement – 1 is True, Statement – 2 is True; Statement – 2 is a correct explanation for statement – 1
(B) Statement – 1 is True, Statement – 2 is True; Statement – 2 is Not a correct explanation for Statement – 1.
(C) Statement – 1 is True, Statement – 2 is False
(D) Statement – 1 is False, Statement – 2 is True

Answers to Questions of 19-10-2007

1.C
2.C
3.C

Questions for 19-10-2007

1.

Statement – 1

A block of mass m starts moving on a rough horizontal surface with a velocity v. It stops due to
friction between the block and surface after moving through a certain distance. The surface is
now tilted to an angle 30° with the horizontal and the same block is made to go up on the surface
with the same initial velocity v. The decrease in the mechanical energy in the second situation is
smaller than that in the first situation.
Because

Statement - 2
The coefficient of friction between the block and the surface decreases with the increase in the
angle of inclination.


(A) Statement – 1 is True, Statement – 2 is True; Statement – 2 is a correct explanation for
statement – 1
(B) Statement – 1 is True, Statement – 2 is True; Statement – 2 is Not a correct explanation for
Statement – 1.
(C) Statement – 1 is True, Statement – 2 is False
(D) Statement – 1 is False, Statement – 2 is True

2.

STATEMENT.1: Glucose gives a reddish.brown precipitate with Fehling’s solution.

Because

STATEMENT.2: Reaction of glucose with Fehling’s solution gives CuO and gluconic acid.


(A) Statement.1 is True, Statement.2 is True; Statement.2 is a correct explanation for Statement.1.
(B) Statement.1 is True, Statement.2 is True; Statement.2 is NOT a correct explanation for Statement.1.
(C) Statement.1 is True, Statement.2 is False.
(D) Statement.1 is False, Statement.2 is True.


3.

The differential equation dy/dx = [SQRT(1-y^2)]/y
determines a family of circles with

(A) variable radii and a fixed centre at (0, 1)
(B) variable radii and a fixed centre at (0, –1)
(C) fixed radius 1 and variable centres along the x-axis
(D) fixed radius 1 and variable centres along the y-axis