Organic Chemist...

$$CH_3-\underset{Br}{\underset{|}{\overset{CH_3}{\overset{|}C}}}-CH_3, \, CH_3-\underset{Br}{\underset{|}{C}}-CH_3, \, CH_3-CH-Br$$
Compare rate of $$E_2$$ reaction :

Consider the following statements :
(1) Bridgehead halides are inert towards both  $$S{_{N}}^{1}$$ and $$S{_{N}}^{2}$$ reactions (till one of the ring size is eight member ring)
(2) The first step in both $$S{_{N}}^{1}$$ and $$E_1$$
(3)   $$S{_{N}}^{2}$$ reaction proceed with total retention of configuration 
(4)  $$E_2$$  elemnations are by use of asolvent of low polarity and high concentration of a strong base 
Which og the above statements are correct?

identify the rate of reaction of given compounds in $$E_2$$ reaction:

In solvolysis of 1,2-dimethyl propyl p-tolunce sulfonate in acetic acid at $$75^{\circ}C$$, how many (alkane + substitution) products will be formed ?

$$1.9 \times 10^{9}\ gm$$ of the metal having density $$19\ gm/ml$$ is dispersed in one litre of water to give a sol having spherical metal particles of raidus $$10\ nm.$$ The approximate number of metal sol particles per $$cm^{3}$$ of the sol is given by :

Above conversion can be done by :

In the given conversion best yield will obtained with.

Product (E) is?

$$CH_3CHO \overset{10 \, percent \,\, NaOH}{\underset{5^o C }{\longrightarrow}} \underset{\Delta}{\longrightarrow} \overset{H_2O}{\underset{Ni}{\longrightarrow}} (A) $$;
Product (A) of the reaction is:

Yield of each step as actually carried out in the laboratory is given. What is overall yield of reaction?