Among the following, how many hydrocarbon (s) with formula $C_{10}H_{16}$ which on reaction with acidic potassium permagenate yield(s) same product? ____________ 
To find the number of hydrocarbons that yield the same product upon reaction with acidic potassium permanganate, follow these steps:
1. Understand the chemical reaction:
Reaction with acidic potassium permanganate ($KMnO_4/H^+$) leads to the oxidative cleavage of carbon-carbon double bonds ($C=C$). In this process:
Cyclic alkenes undergo ring-opening to form dicarbonyl compounds (keto-acids or diacids).
2. Analyze the given structures:
We are looking for structures that, after the cleavage of all their double bonds, result in the same carbon skeleton and functional group arrangement. Focus on the two cyclobutene derivatives (the 2nd and 4th structures from the left):
3. Identify the identical product:
Because of the connectivity of the 4-membered ring, opening the ring in Structure 2 (between C1 and C2) and Structure 4 (between C1 and C2) results in an identical acyclic chain. In both cases, the side chain (which also contains a double bond that gets oxidized to a ketone) is positioned such that the resulting molecule is the same keto-diacid.
4. Conclusion:
Structures 2 and 4 are the only ones in the set that produce the exact same organic product after complete oxidation.
The number of hydrocarbons that yield the same product is 2.
Consider the following reactions sequence
When the product (P) is subjected to Carius analysis using $\text{AgNO}_3$, $1.0\text{ g}$ of the product (P) will produce __________ g of the precipitate of AgBr. (Nearest Integer)
(Given : molar mass in $\text{g mol}^{-1}$ C : 12, H : 1, O : 16, N : 14, Br : 80, Ag : 108)
Consider the following sequence of reactions to give the major product (X)
$\text{P}~\text{g}$ of the major product (X) formed is reacted with $\text{NaHCO}_3$ solution to liberate a gas which occupied $11.2~\text{dm}^3$ at STP.
$\text{P} = \_\_\_\_\_\_\_\_~\text{g}$.
(Given molar mass in $\text{g~mol}^{-1}$ $\text{H}: 1, \text{C}: 12, \text{O}: 16, \text{Cl}: 35.5$)
On treatment of the following compound with a strong acid, the most susceptible site for bond cleavage is :-

The total number of optically active compounds formed in the following reaction is :-

The major products U and V in the following reaction are
