Two statements, Assertion and Reason are given below. Choose the correct option.
Assertion: $ \text{n-propyl tert-butyl ether can be readily prepared in the laboratory by Williamson's synthesis.} $
Reason: The reaction occurs by $ S_N1 $ attack of Primary alkoxide on Tert-alkyl halide to give a good yield of the product, $ \text{n-propyl tert-butyl ether.} $
The given Assertion and Reason can be analyzed as follows:
1. Assertion: \( \text{n-propyl tert-butyl ether can be readily prepared in the laboratory by Williamson's synthesis.} \) - This statement is correct. In the Williamson ether synthesis, an alkoxide ion (such as \( \text{CH}_3\text{CH}_2\text{O}^- \)) reacts with an alkyl halide (such as \( \text{CH}_3\text{CH}_2\text{I} \)) to form an ether, in this case, n-propyl tert-butyl ether.
2. Reason: The reaction occurs by \( S_N1 \) attack of Primary alkoxide on Tert-alkyl halide to give a good yield of the product, \( \text{n-propyl tert-butyl ether.} \) - This statement is incorrect. The reaction mechanism for the Williamson synthesis generally follows an \( S_N2 \) mechanism, not \( S_N1 \). In an \( S_N2 \) mechanism, the nucleophile (alkoxide) directly displaces the leaving group (the halide) in a single step. The \( S_N1 \) mechanism, on the other hand, involves the formation of a carbocation intermediate, which is not favored in this case because of the primary nature of the alkyl halide.
Thus, the Assertion is correct, but the Reason is incorrect. Therefore, the correct option is (C).
A solid cylinder of mass 2 kg and radius 0.2 m is rotating about its own axis without friction with angular velocity 5 rad/s. A particle of mass 1 kg moving with a velocity of 5 m/s strikes the cylinder and sticks to it as shown in figure.
The angular velocity of the system after the particle sticks to it will be: