JEE Advanced Mix Test 29

Curves in the graph shown give, as functions of radial distance r (from the axis), the magnitude B of the magnetic field (due to individual wire) inside and outside four long wires a, b, c and d, carrying currents that are uniformly distributed across the cross sections of the wires. Overlapping portions of the plots are indicated by double labels. All curves start from the origin.

Which wire has the greatest magnitude of the magnetic field on the surface ?

Curves in the graph shown give, as functions of radial distance r (from the axis), the magnitude B of the magnetic field (due to individual wire) inside and outside four long wires a, b, c and d, carrying currents that are uniformly distributed across the cross sections of the wires. Overlapping portions of the plots are indicated by double labels. All curves start from the origin.

The current density in wire a is

Match the following:

The following table gives the lengths of four copper rods at the same temperature, their diameters, and the potential differences between their ends.

Correctly match the physical quantities mentioned in the left column with the rods as marked.

A square loop of uniform conducting wire is as shown in figure. A current-I ( in amperes) enters the loop from one end and exits the loop from opposite end as shown in figure. The length of one side of square loop is l metre. The wire has uniform cross section area and uniform linear mass density. In four situations of column-I, the loop is subjected to four different uniform and constant magnetic field. Under the conditions of column-I, match the column-I with corresponding results of column-II ( Bo in column I is a positive nonzero constant)

In an f.c.c. crystal, which of the following shaded planes contains the following type of arrangement of atoms?

In an f.c.c. unit cell, atoms are numbered as shown below. The atoms not touching each other are : (Atom numbered 3 is face centre of front face).

Electrolysis of a solution of HSO₄- ions produces S2O₈– –. Assuming 75% current efficiency, what current should be employed to achieve a production rate of 1 mole of S₂O₈- - per hour ?

You are given the following cell at 298 K,  0.76 V. Which of the following amounts of NaOH (equivalent weight = 40) will just make the pH of cathodic compartment to be equal to 7.0 :

For the following parallel chain reaction

what will be that value of overall half-life of A in minutes?

Decomposition of A follows first order kinetics by the following equation.

4A(g) ——> B(g) + 2C(g)

If initially, total pressure was 800 mm of Hg and after 10 minutes it is found to be 650 mm of Hg. What is half-life of A ? (Assume only A is present initially)