A magnetic field B exists in a direction perpendicular to the plane of a square loop made of metal wire. The wire has a diameter of 4 mm and a total length of 30 cm. The magnetic field B changes at a steady rate of \( 0.032 \text{ T s}^{-1} \). The induced current in the closed loop is\n(Given: Resistivity of the metal wire is \( \rho = 1.57 \times 10^{-8} \Omega \text{ m} \))

A hot wire voltmeter measures the voltages across the inductor, the capacitor and the resistor as 150 V, 100 V and 50 V across a series, LCR circuit. If resistance is \( 100 \, \Omega \), the current in the circuit is :

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

The work done by the field of a nucleus in a complete circular orbit of the electron is

Consider the figure as shown below. If work done in bringing a point charge from infinity to points A, B and C are \( W_A, W_B \) and \( W_C \) respectively, then, which of the following relation is correct?

Arrange the following in increasing number of quantum number when coming from excited energy state:
A. Lyman Series
B. Balmer Series
C. Paschen Series
D. Brackett Series
E. Pfund Series
Choose the correct answer from the options given below:

Two point changes \( - q \) and \( + q \) are located at points \( (0, 0, -a) \) and \( (0, 0, +a) \) respectively. The electric potential of a point \( (0, b, 0) \), where \( b > a \), is :

The thermal decomposition of HI on gold surface is an example of

A \( 14.0 \, \mu\text{F} \) capacitor is connected to a 220 V, 50 Hz source. The value of peak current in the circuit is (Given: \( \pi = \frac{22}{7} \) and \( \sqrt{2} = 1.414 \)):

The product of the following reaction is :
Reactant: 2,2-Dimethylcyclohexanol
Reagents: \(H ^{ + } /\) heat

Match List I with List II

List I	List ll
(A) Down's syndrome	(I) 44 + XX/XY
(B) Klinefelter's syndrome	(II) 44 + XO
(C) Turner's syndrome	(III) 44 + XXY
(D) Normal human	(IV) 45 + XX/XY

Choose the correct answer from the options given below:

\(x\) speaks truth in \(60 \%\) and \(y\) in \(50 \%\) of the cases.
The probability that they contradict each other while narrating the same fact is:

Read the Passage carefully and answer the the questions
The DNA fragments can be separated by a technique known as gel electrophoresis. Since DNA fragments are negatively charged molecules, they can be separated by forcing them to move towards the anode under an electric field through a medium/matrix. The separated DNA fragments can be visualised only after staining the DNA with a compound known as ethidium bromide followed by exposure to UV radiation. The repeated amplification of DNA is achieved by the use of a thermostable DNA polymerase (isolated from a bacterium, Thermus aquaticus). After completion of the biosynthetic stage, the product has to be subjected through a series of processes before it is ready for marketing as a finished product. The downstream processing and quality control testing vary from product to product. The convention for naming restriction enzymes is the first letter of the name comes from the genus and the second two letters come from the species of the prokaryotic cell from which they were isolated.
In the nomenclature of restriction enzymes -