The input signal given to a CE amplifier having a voltage gain of 150 is ${\mathrm{V}}_{\mathrm{i}}=2\cos \left[15\mathrm{t}+\frac{{\displaystyle \mathrm{\pi }}}{{\displaystyle 3}}\right]$. The corresponding output signal will be:

1. $30 \cos \left[15\mathrm{t}+\frac{\mathrm{\pi }}{3}\right]$

2. $75 \cos \left[15\mathrm{t}+\frac{2\mathrm{\pi }}{3}\right]$

3. $2 \cos \left[15\mathrm{t}+\frac{5\mathrm{\pi }}{3}\right]$

4. $300 \cos \left[15\mathrm{t}+\frac{4\mathrm{\pi }}{3}\right]$

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:
 

The correct statement about the S_N1 reaction is:

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. $K_{2}C{O}_3$
2. $N{a}_{2}C{O}_3$
3. $MgC{O}_3$
4. $CaC{O}_3$

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.