Match List-I with List-II

List-I (Formula)	List-II (Physical quantity)
(A) \( neAv_d \)	(I) Mobility
(B) \(\frac{v_d}{E}\)	(II) Current
(C) \(\frac{n e^2 \tau}{m}\)	(III) Conductivity
(D) \(\frac{m}{n e^2 \tau}\)	(IV) Resistivity

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The S.I unit of mutual inductance, the 'henry' can be written as

The resistivity of an iron wire is \( 10 \times 10^{-8} \, \Omega \text{ m} \). The resistance of an iron wire is \( 5 \, \Omega \). If its length as well as thickness is doubled then its resistivity will be :

Six identical cells, each of emf 3 V and internal resistance of r, are connected in series to a \( 3 \text{ } \Omega \) resistance. If the net current flowing in the circuit is 2.0 A. The internal resistance of the cell is

A carrier wave of peak voltage 24 V is used to transmit a message signal. What should be the peak voltage of the modulating signal in order to have a modulation index of 70% ?

Which of the following is NOT correct in the case of the output obtained from a full wave rectifier?

216 charged droplets, each of radius r and charge q, are combined to form a big drop. The ratio of potential of the big drop to the small droplet will be :

Read the passage carefully and answer
Carbohydrates are essential for both plants and animals. Some common examples of carbohydrates are glucose, fructose, sucrose, glycogen, cellulose and starch. They form a major portion of our food. Honey has been used for a long time as an instant source of energy in Ayurvedic medicine. Carbohydrates are used as storage molecules in both plants and animals. The cell wall of bacteria and plants is made of cellulose. We use cellulose in the form of wood for making furniture and as cotton fiber for clothing. They also provide raw material for textiles, paper, lacquers, and breweries. Carbohydrates are classified as Monosaccharides, Oligosaccharides and Polysaccharides on the basis of their behavior towards hydrolysis. Monosaccharides cannot be hydrolyzed further to simpler units whereas oligosaccharides can yield 2-10 units of monosaccharides on hydrolysis. Polysaccharides, which are non-sugars yield a large number of monosaccharide units on hydrolysis.
Answer the following questions about carbohydrates:
Pick the incorrect statement from the following:

A piece of ancient wood shows an activity of 3.9 disintegrations per second per gram of C\(^{14}\). The age of wood, if half life of C\(^{14}\) is 5568 years, and activity of fresh C\(^{14}\) is 15.6 disintegrations per second per gram, is (take \(\log_e 2 = 0.693\)).

Match List I with List II.

List-I	List-II
A. Vitamin C	I. Rickets
B. Vitamin A	II. Beri Beri
C. Vitamin D	III. Scurvy
D. Vitamin \(B _{ 1 }\)	IV. Night blindness

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Read the passage carefully and answer the Questions
A homogeneous mixture of two or more than two components has uniform composition and properties. The binary solutions have two components, which may be solid, liquid or gas. The resultant solution has a larger amount of solvent and a smaller amount of solute. The amount of solute in a given amount of solvent decides the concentration of the resulting solution. The concentration can be expressed in various ways, like molarity, molality, normality and mole fraction.
Molarity of a solution containing 8 grams \(NaOH\) in one liter of water is:

A point source S is placed at a distance of 12 cm from a converging lens of focal length 10 cm on its principal axis. Where should a diverging mirror of focal length 14 cm be placed from the lens so that a real image is formed on the source itself?

Which of the following disorders are the results of aneuploidy?
(A) Haemophilia
(B) Down's Syndrome
(C) Thalassemia
(D) Turner's Syndrome
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