JEE Advanced Mi...

In an experiment to determine the diameter of a spherical object, a researcher uses a micrometer screw gauge with a least count of 0.01 mm. She records the diameter in five measurements: 24.12 mm, 24.18 mm, 24.14 mm, 24.17 mm, 24.16 mm.

What is the diameter of the object with its absolute uncertainty?

Three charges are located on the circumference of a circle with radius R. Two charges, each with magnitude Q, are placed symmetrically at 90° apart from each other on the circle. A third charge q is placed at a point symmetrically opposite to the resultant of the two Q charges, such that the electric field at the center of the circle is zero. If the electric field at the center of the circle is zero, what is the magnitude of Q in terms of q?

Let ΔQ be the heat transferred in a quasistatic reversible thermodynamic process. Which of the following statements about ΔQ is correct?

Two point masses m₁ and m₂, where m₁ = 2m and m₂ = m, are connected by a massless rigid rod of length L lying in the xy-plane with the center of the rod at the origin. If this system is rotating about the z-axis with an angular velocity ω, what is the angular momentum of the system?

Considering the following reactions and their reduction potentials in acidic medium

What will be the free energy change (ΔG) of the reaction. 

When chromite ore (A) is fused with sodium carbonate in excess of air and the product is dissolved in water, a yellow solution of compound (B) is obtained. On treating B with sulphuric acid, compound (C) can be crystallized from the solution. When compound (C) is treated with KCl, orange crystals of compound (D) crystallise out. Identify A and D.

Choose the correct option :

Consider a family of circles passing through two fixed points A(3,7) and B(6,5). The chord, in which the circle x² + y² − 4x − 6y − 3 = 0 cuts each member of the family of circles, passes through a fixed point (a,b). Find the numerical value of a + 3b.

The number of ways that the letters of the word "PERSON" can be placed in the squares of the adjoining figure so that no row remains empty