Hydrolysis of Amides

Q.

If $\surd 3+i=(a+ib)(c+id)$, then ${\tan }^{-1}\left(\frac{b}{a}\right)+{\tan }^{-1}\left(\frac{d}{c}\right)$ has the value

1. $\left(\frac{\pi }{3}\right)+2n\pi ,n\in I$

2. $n\pi +\left(\frac{\pi }{6}\right),n\in I$

3. $n\pi -\left(\frac{\pi }{3}\right),n\in I$

4. $2n\pi -\left(\frac{\pi }{3}\right),n\in I$

Q. The solution of $\frac{xdx+ydy}{xdy-ydx}=\sqrt{\frac{1-x^2-y^2}{x^2+y^2}}$ is

1. $\sqrt{x^2+y^2}=\sin \{\left({\tan }^{-1}\left(\frac{y}{x}\right)\right)+c\}$
2. $\sqrt{x^2+y^2}=\cos \{\left({\tan }^{-1}\left(\frac{y}{x}\right)\right)+c\}$
3. $\sqrt{x^2+y^2}=\tan \{\left({\sin }^{-1}\left(\frac{y}{x}\right)\right)+c\}$
4. $y=x\tan (c+{\sin }^{-1}\sqrt{x^2+y^2})$

Q. The reaction of acetamide with water is an example of

1. Alcoholysis

2. Hydrolysis

3. Ammonolysis
4. Saponification

Q. Consider the following reaction sequence:

Which of the following option(s) is/are true regarding to above reaction sequence?

1. P, Q and R have the same degree of unsaturation
2. R is a cyclic amide
3. S forms enamine with Q
4. S can be formed when P is reduced with LAH

Q. The solution of $\left(y\right(1+x^{-1})+siny)dx+(x+logx+xcosy)dy=0$ is

1. $(1+y^{-1}siny)+x^{-1}logx=C$
   
2. $(y+siny)+xylogx=C$
   
3. $xy+ylogx+xsiny=C$
4. $Noneofthese$

Q. Solution of $2y\sin x\frac{dy}{dx}=2\sin x\cdot \cos x-y^2\cos x,x=\frac{\pi }{2},y=1$ is given by

1. $y^2=\sin x$
2. $y={\sin }^{2}x$
3. $y^2=\cos x+1$
4. None of these

Q. Hydrolysis of acetamide produces

1. Acetic acid

2. Acetaldehyde

3. Methylamine

4. Formic acid

Q. Which of the following substances when boiled with caustic soda solution will evolve ammonia

1. Ethylamine

2. Aniline

3. Acetamide
4. Acetoxime

Q.

Alkynes could be synthesized by:

1. Hydrolysis of some carbides

2. Dehalogenation of tetrahalides

3. Dehydrohalogenation of dihalides

4. All of the above