A point charge is kept at the centre of a metallic insulated spherical shell. Then :

The following that is not transported by Electromagnetic waves is :

The mass number of helium is 4 and that of sulphur is 32. How many times the radius of sulphur nucleus is bigger than that of helium ?

In a Young's double-slit experiment, the slits are separated by 0.28 mm and the wavelength of light used is 6000 A. The fringes are observed on a screen placed 1.4 m away from the slits. The distance between the central bright fringe and the fourth bright fringe will be

The resistance of the platinum wire of a platinum resistance thermometer at the ice point is 5 \(\Omega\) and at steam point, it is 5.23 \(\Omega\). When the thermometer is inserted in a hot bath, the resistance of the platinum wire becomes 5.795 \(\Omega\). Find the temperature of the bath.

Choose the correct statements from the following.
A. Like light waves, thermal radiations are also electromagnetic radiation.
B. Electromagnetic waves can travel in vacuum but mechanical waves cannot do so.
C. Gamma rays are more energetic than X-rays.
D. Microwaves are heat waves so they always produce heating.
E. Displacement current is a fictious current and has nothing in common with conduction current.
Choose the correct answer from the options given below:

In a series LCR circuit if the voltage across inductor, capacitor and resistor respectively are 60 V, 30 V and 40 V, then the applied voltage is:

Read the following paragraph carefully and answer the given questions.
In the year 1963 the two enzymes responsible for restricting the growth of bacteriophage in E. coli were isolated. The first restriction endonuclease - Hind II, whose functioning depended on a specific DNA nucleotide sequence was characterized five years later. It was found that Hind II always cut DNA molecules at a particular point by recognizing a specific sequence of six base pairs. This specific base sequence is known as the recognition sequence for Hind II. Besides Hind II, today we know more than 900 restriction enzymes that have been isolated from over 230 strains of bacteria, each of which recognize different recognition sequences.
Restriction enzymes are also known as

Match List - I with List - II.

List - I	List - II
(A) Bacteriophage lambda	(I) 231 gene
(B) Y-chromosome of human	(II) 48502 bp
(C) Escherichia coli DNA	(III) \(3.3 \times 10^9\) bp
(D) Haploid content of human DNA	(Iv) \(4.6 \times 10^6\) bp

Choose the correct answer from the options given below:

A random variable X has the following probability distribution :

X	0	1	2	3	4	5	6	7	8
P(X)	a	3a	5a	7a	9a	11a	13a	15a	17a

Then the values of ' \(a\) ' and \(P(0<X<5)\) respectively are :

The number of equivalence relation on the set {1, 2, 3} containing (1, 2) and (2, 1) is

A point charge of 17.7 \( \mu\text{C} \) is placed at a perpendicular distance of 5 cm from the centre of a square. The amount of electric flux going through the square will be: (Given \( \epsilon_0 = 8.85 \times 10^{-12} \, \text{C}^2\text{N}^{-1}\text{m}^{-2} \))

Consider the following L.L.P.
Minimize \(z=30 x-30 y+1800\);
subject to \(x+y \leq 30, x \leq 15, y \leq 20, x+y \geq 15\) and \(x, y \geq 0\).
Then it attains its optimal value at the point