
The reaction shown is an ozonolysis of 2-butene. The ozone (O3) cleaves the double bond, and the reduction with Zn/H2O results in the formation of aldehydes or ketones. For 2-butene, the ozonolysis reaction can be depicted as:
Reactant: \[\text{CH}_{3}\text{CH}=\text{CH}\text{CH}_{3}\]
Step 1: Ozonolysis cleaves the C=C bond.
Step 2: The products are two molecules of acetaldehyde (\[\text{CH}_{3}\text{CHO}\]).
Product (P): Each acetaldehyde molecule contains one oxygen atom.
| Molecule | Oxygen Atoms |
|---|---|
| Acetaldehyde (\[\text{CH}_{3}\text{CHO}\]) | 1 |
Since 2-butene is symmetrical, only one type of product is formed, which is acetaldehyde. The total number of oxygen atoms per molecule of product (P) is therefore 1.
Upon ozonolysis, the compound CH3–CH=CH–CH3 is cleaved at the double bond, resulting in two molecules of CH3–C=O.
Each resulting molecule contains one oxygen atom.
Hence, the total number of oxygen atoms present per molecule of the product is: 1
So, the correct answer is: 1.
The correct increasing order of stability of the complexes based on \( \Delta \) value is:
Match List-I with List-II: List-I

Let $ P_n = \alpha^n + \beta^n $, $ n \in \mathbb{N} $. If $ P_{10} = 123,\ P_9 = 76,\ P_8 = 47 $ and $ P_1 = 1 $, then the quadratic equation having roots $ \alpha $ and $ \frac{1}{\beta} $ is:
Two blocks of masses \( m \) and \( M \), \( (M > m) \), are placed on a frictionless table as shown in figure. A massless spring with spring constant \( k \) is attached with the lower block. If the system is slightly displaced and released then \( \mu = \) coefficient of friction between the two blocks.
(A) The time period of small oscillation of the two blocks is \( T = 2\pi \sqrt{\dfrac{(m + M)}{k}} \)
(B) The acceleration of the blocks is \( a = \dfrac{kx}{M + m} \)
(\( x = \) displacement of the blocks from the mean position)
(C) The magnitude of the frictional force on the upper block is \( \dfrac{m\mu |x|}{M + m} \)
(D) The maximum amplitude of the upper block, if it does not slip, is \( \dfrac{\mu (M + m) g}{k} \)
(E) Maximum frictional force can be \( \mu (M + m) g \)
Choose the correct answer from the options given below:
Let \( f : \mathbb{R} \to \mathbb{R} \) be a twice differentiable function such that \[ (\sin x \cos y)(f(2x + 2y) - f(2x - 2y)) = (\cos x \sin y)(f(2x + 2y) + f(2x - 2y)), \] for all \( x, y \in \mathbb{R}. \)
If \( f'(0) = \frac{1}{2} \), then the value of \( 24f''\left( \frac{5\pi}{3} \right) \) is: