An equilateral triangle ABC is cut from a thin solid sheet of wood. (see figure) D, E and F are the mid-points of its sides as shown and G is the centre of the triangle. The moment of inertia of the triangle about an axis passing through G and perpendicular to the plane of the triangle is I0. If the smaller triangle DEF is removed from ABC, the moment of inertia of the remaining figure about the same axis is I. then :

Points I, II and III in the following plot respectively correspond to (Vmp : most probable velocity)

Consider the following table : .tg {border-collapse:collapse;border-spacing:0;border-color:#9ABAD9;} .tg td{font-family:Arial, sans-serif;font-size:14px;padding:10px 5px;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#9ABAD9;color:#444;background-color:#EBF5FF;} .tg th{font-family:Arial, sans-serif;font-size:14px;font-weight:normal;padding:10px 5px;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#9ABAD9;color:#fff;background-color:#409cff;} .tg .tg-s6z2{text-align:center} Gas a/(k Pa dm6 mol-1) b/(dm3 mol-1) A 642.32 0.05196 B 155.21 0.04136 C 431.91 0.05196 D 155.21 0.4382 a and b are vander Waals constants. The correct statement about the gases is :

At a given temperature T, gases Ne, Ar, Xe and Kr are found to deviate from ideal gas behaviour. Their equation of state is given as p = {{RT} \over {V - b}} at T. Here, b is the van der Waals constant. Which gas will exhibit steepest increase in the plot of Z (compression factor) vs p?

Consider the van der Waals constants, a and b, for the following gases. .tg {border-collapse:collapse;border-spacing:0;width:100%} .tg td{font-family:Arial, sans-serif;font-size:14px;padding:8px 12px;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:black;} .tg th{font-family:Arial, sans-serif;font-size:14px;font-weight:normal;padding:8px 12px;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:black;} .tg .tg-s6z2{text-align:center} .tg .tg-baqh{text-align:center;vertical-align:top} Gas Ar Ne Kr Xe a/ (atm dm6 mol–2) 1.3 0.2 5.1 4.1 b/ (10–2 dm3 mol–1) 3.2 1.7 1.0 5.0 Which gas is expected to have the highest critical temperature?

An open vessel at 27oC is heated until two fifth of the air (assumed as an ideal gas) it has escaped from the vessel assuming that the volume of the vessel remains constant, the temperature at which the vessel has been heated is -

The volume of gas A is twice than that of gas B. The compressibility factor of gas A is thrice than that of gas B at same temperature. The pressures of the gases for equal number of moles are -

0.5 moles of gas A and x moles of gas B exert a pressure of 200 Pa in a container of volume 10 m3 at 1000 K. Given R is the gas constant in JK$$-$$1mol$$-$$1, x is :

Increasing order of reactivity of the following compounds for SN1 substitution is:

Consider the following reactions : 'A' is :

In the following skew conformation of ethane, H'–C–C–H'' dihedral angle is :

The major product of the following addition reaction is : H3C–CH=CH2 \buildrel {C{l_2}/{H_2}O} \over \longrightarrow

But-2-ene on reaction with alkaline KMnO4 at elevated temperature followed by acidification will give :

Which of the following potential energy (PE) diagrams represents the SN1 reaction?

The major product of the following reaction is :

The major product of the following reaction is :

The major product of the following reaction is –

The major product of the following reaction is :

The major product of the following reaction is –

The major product of the following reaction is