Predict the major product $ P $ in the following sequence of reactions:
(i) HBr, benzoyl peroxide
(ii) KCN
(iii) Na(Hg), $C_{2}H_{5}OH$
The sequence of reactions involves the following steps:
Step (i) HBr, benzoyl peroxide: This is a free radical halogenation reaction, where the alkyl group on the benzene ring undergoes bromination at the benzylic position due to the formation of free radicals, resulting in the product \( C_6H_5-CH_2Br \) (benzyl bromide).
Step (ii) KCN: The next step is the nucleophilic substitution of the bromine atom by the cyanide ion (CN-), leading to the formation of \( C_6H_5-CH_2-CN \) (benzyl cyanide).
Step (iii) Na(Hg), C2H5OH: This is a reduction reaction (Clemmensen reduction), which typically reduces a carbonyl group (in this case, the nitrile group) to a methylene group (–CH2–). However, since there is no carbonyl group here, this reaction doesn't affect the cyanide group. Hence, the major product remains as \(C_6H_5-CH_2-CN \).
Thus, the major product is \( C_6H_5-CH_2-CN \), and the correct answer is (3).
Consider the following reactions: 
The oxidation states of Cu in Z and Q, respectively are:
Which of the following reaction is NOT correctly represented? 
The correct order of acidic strength of the major products formed in the given reactions is: 
Consider a water tank shown in the figure. It has one wall at \(x = L\) and can be taken to be very wide in the z direction. When filled with a liquid of surface tension \(S\) and density \( \rho \), the liquid surface makes angle \( \theta_0 \) (\( \theta_0 < < 1 \)) with the x-axis at \(x = L\). If \(y(x)\) is the height of the surface then the equation for \(y(x)\) is: (take \(g\) as the acceleration due to gravity) 
AB is a part of an electrical circuit (see figure). The potential difference \(V_A - V_B\), at the instant when current \(i = 2\) A and is increasing at a rate of 1 amp/second is:
Among the following, choose the ones with an equal number of atoms.
Choose the correct answer from the options given below:
In an oscillating spring mass system, a spring is connected to a box filled with sand. As the box oscillates, sand leaks slowly out of the box vertically so that the average frequency ω(t) and average amplitude A(t) of the system change with time t. Which one of the following options schematically depicts these changes correctly? 