Compounds that can exhibit tautomerism are:
| 1. | l and ll | 2. | l and lll |
| 3. | ll and lll | 4. | l, ll and lll |
Given compounds are as follows:
| (I) | (II) | ||
| (III) |
The enthalpy of hydrogenation of these compounds will be in the order as-
| 1. | I > II > III | 2. | III > II > I |
| 3. | II > III > I | 4. | II > I > III |
A biodegradable polymer that can be prepared from glycine and aminocaproic acid is:
1. Nylon 2-nylon 6
2. PHBV
3. Buna-N
4. Nylon-6,6

| 1. | Four (4) | 2. | Eight (8) |
| 3. | Twelve (12) | 4. | Sixteen (16) |
An organic compound X having molecular formula C5H10O yields phenyl hydrazone and gives a negative response to the iodoform test and Tollen's test. It produces n-pentane on reduction. X could be:
A ship \(A\) is moving westward with a speed of \(10~\text{kmph}\) and a ship \(B,\) \(100 ~\text{km}\) south of \(A,\) is moving northward with a speed of \(10~\text{kmph}.\) The time after which the distance between them becomes the shortest is:
| 1. | \(0~\text{h}\) | 2. | \(5~\text{h}\) |
| 3. | \(5\sqrt{2}~\text{h}\) | 4. | \(10\sqrt{2}~\text{h}\) |
| 1. | \(- 2 nβ^{2} x^{- 2 n - 1}\) | 2. | \(- 2 nβ^{2} x^{- 4 n - 1}\) |
| 3. | \(- 2 \beta^{2} x^{- 2 n + 1}\) | 4. | \(- 2 nβ^{2} x^{- 4 n + 1}\) |
Three blocks \(\mathrm{A}\), \(\mathrm{B}\), and \(\mathrm{C}\) of masses \(4~\text{kg}\), \(2~\text{kg}\), and \(1~\text{kg}\) respectively, are in contact on a frictionless surface, as shown. If a force of \(14~\text{N}\) is applied to the \(4~\text{kg}\) block, then the contact force between \(\mathrm{A}\) and \(\mathrm{B}\) is:
1. \(2~\text{N}\)
2. \(6~\text{N}\)
3. \(8~\text{N}\)
4. \(18~\text{N}\)
A block \(\mathrm{A}\) of mass \(m_1\) rests on a horizontal table. A light string connected to it passes over a frictionless pulley at the edge of the table and from its other end, another block \(\mathrm{B}\) of mass \(m_2\) is suspended. The coefficient of kinetic friction between block \(\mathrm{A}\) and the table is \(\mu_k\). When block \(\mathrm{A}\) is sliding on the table, the tension in the string is:
| 1. | \( \dfrac{\left({m}_2+\mu_{{k}}{m}_1\right) {g}}{\left({m}_1+{m}_2\right)}\) | 2. | \( \dfrac{\left({m}_2-\mu_{{k}} {m}_1\right) {g}}{\left({m}_1+{m}_2\right)}\) |
| 3. | \(\dfrac{{m}_1 {~m}_2\left(1-\mu_{{k}}\right) {g}}{\left({m}_1+{m}_2\right)}\) | 4. | \( \dfrac{{m}_1 {~m}_2\left(1+\mu_{{k}}\right)}{{m}_1+{m}_2} {g}\) |