The atomic numbers and mass numbers of the nuclei of hydrogen, deuterium and tritium, respectively are in the ratio

The resistivity of a wire depends on :
(A) its length
(B) its area of cross-section
(C) its temperature
(D) nature of material
(E) voltage applied across it
Choose the correct answer from the options given below :

Match List-I with List-II

List-I	List-II
(A) The current lags behind the emf by \( \pi/4 \) in phase	(I) A.C. circuit containing only an inductor
(B) The e.m.f. lags behind the current by \( \pi/4 \) in phase	(II) A.C. circuit with resistance and inductances in series
(C) The current lags behind the e.m.f. in phase by \( \pi/2 \)	(III) A.C. circuit containing only as capacitor
(D) The e.m.f. lags behind the current in phase by \( \pi/2 \)	(IV) A.C. circuit with resistance and capacitor in series

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In an LC oscillator, \( C = 50 \text{ } \mu\text{F} \) and \( L = 0.08 \text{ H} \) are used. If the resistance of the circuit is negligible, the time period of oscillation is

The induced e.m.f in a coil rotating in a uniform magnetic field will increase if
A. Total number of turns in the coil decreases
B. Magnetic field increases
C. Speed of rotation of coil decreases
D. Area of the coil increases
Choose the correct answer from the options given below:

Which of the following statement is correct regarding a p-n junction diode.

What is the force between two small charged spheres having charges of \( 4 \times 10^{-7} \text{ C} \) and \( 6 \times 10^{-7} \text{ C} \) placed 60 cm apart in air ?

The solution set of the inequation \(\frac{7+5 x}{4} \geq \frac{x}{3}-10, x \in R\) is :

Match List I with List II.

LIST I (Name of the organism)	LIST II (Chromosome number in a meiocyte)
A. Rat	I. \(38\)
B. Dog	II. \(42\)
C. Cat	III. \(1260\)
D. Ophioglossum	IV. \(78\)

Choose the correct answer from the options given below:

Which of the following sugars does not undergo hydrolysis?
(A) Glucose
(B) Fructose
(C) Cane Sugar
(D) Lactose
Choose the correct answer from the options given below:

For the following probability distribution,

X	1	2	3	4
p(x)	\(\frac{1}{10}\)	\(\frac{1}{5}\)	\(\frac{3}{10}\)	\(\frac{2}{5}\)

The value of \(E\left(X^2\right)-[E(X)]^2\)

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:
Identify a component of starch from among the following.

If \(A=\left[\begin{array}{cc}-2 & 6 \\ -5 & -1\end{array}\right]\) then \(A^{-1}\) is :