An automobile moves on a road with a speed of \(54~\text{kmh}^{-1}.\) The radius of its wheels is \(0.45\) m and the moment of inertia of the wheel about its axis of rotation is \(3~\text{kg-m}^2.\) If the vehicle is brought to rest in \(15\) s, the magnitude of average torque transmitted by its brakes to the wheel is:
1. \(6.66~\text{kg-m}^2\text{s}^{-2}\)
2. \(8.58~\text{kg-m}^2\text{s}^{-2}\)
3. \(10.86~\text{kg-m}^2\text{s}^{-2}\)
4. \(2.86~\text{kg-m}^2\text{s}^{-2}\)
In which of the following pairs, both the species are not isostructural?
1. \(\mathrm{SiCl}_4, \mathrm{PCl}_4^{+}\)
2. Diamond, silicon carbide
3. \(\mathrm{NH}_3, \mathrm{PH}_3\)
4. \(\mathrm{XeF}_4, \mathrm{XeO}_4\)
The esters that get hydrolyzed most easily under alkaline conditions is?
1. | |
2. | |
3. | |
4. |
The reaction of phenol with chloroform in the presence of dilute sodium hydroxide finally introduces a functional group X. The X is:
1. -CH2Cl
2. -COOH
3. -CHCl2
4. -CHO
Alkyl halides prepared by among the following reaction(s) is/are:
I. | \(CH_3CH_2OH+HCl\xrightarrow{\bf{anh. ZnCl_2}}\) |
II. | \(CH_3CH_2OH+HCl→\) |
III. | \((CH_3)_3COH+HCl→ \) |
IV. | \((CH_3)_2CHOH+HCl\xrightarrow{\bf{anh.ZnCl_2}}\) |
1. | I, III, and IV | 2. | I and II |
3. | Only IV | 4. | III and IV |
The correct statement about the SN1 reaction is:
1. | 100 % racemisation. |
2. | Inversion more than retention leads to partial racemisation. |
3. | 100 % retention. |
4. | 100 % Inversion. |
Which of the following is not the product of dehydration of?
1. | 2. | ||
3. | 4. |
A compound that releases CO2 most easily upon heating is?
1.
2.
3.
4.
HCl with an alkene X reacts in accordance with Markovnikov’s rule to give 1-Chloro-1-methylcyclohexane. The structure of alkene (X) is:
1. | 2. | ||
3. | (1) and (2) | 4. |
The number of possible isomers for the complex will be (en=ethylenediamine):
1. 2
2. 1
3. 3
4. 4