To determine the correctness of the given statements regarding historical scientific observations:
Statement (I): "According to the Law of Octaves, the elements were arranged in the increasing order of their atomic number."
Analysis: The Law of Octaves, proposed by John Newlands in 1864, is one of the early attempts to categorize elements. He arranged them by increasing atomic mass (not atomic number) and noted that every eighth element shared similar properties, much like the octaves in music. Hence, this statement is incorrect.
Statement (II): "Meyer observed a periodically repeated pattern upon plotting physical properties of certain elements against their respective atomic numbers."
Analysis: Julius Lothar Meyer was one of the scientists who contributed to the development of the periodic table. He plotted physical properties of elements (such as atomic volume) against atomic masses (not atomic numbers) and discovered a periodic pattern. Although he used atomic masses for his analysis, the concept of periodicity aligns with later developments using atomic numbers. Thus, the periodic pattern observed is consistent with modern understanding, even if atomic numbers were not used at that time. Therefore, this statement is considered true in the context of periodic law's development.
Conclusion: The correct answer is: "Statement I is false but Statement II is true."
Which of the following Statements are NOT true about the periodic table?
A. The properties of elements are a function of atomic weights.
B. The properties of elements are a function of atomic numbers.
C. Elements having similar outer electronic configuration are arranged in the same period.
D. An element's location reflects the quantum numbers of the last filled orbital.
E. The number of elements in a period is the same as the number of atomic orbitals available in the energy level that is being filled.
Match List-I with List-II:
Match the LIST-I with LIST-II.
| LIST-I | LIST-II | ||
| A. | Pnicogen (group 15) | I. | Ts |
| B. | Chalcogen (group 16) | II. | Og |
| C. | Halogen (group 17) | III. | Lv |
| D. | Noble gas (group 18) | IV. | Mc |
Choose the correct answer from the options given below :
For the AC circuit shown in the figure, $ R = 100 \, \text{k}\Omega $ and $ C = 100 \, \text{pF} $, and the phase difference between $ V_{\text{in}} $ and $ (V_B - V_A) $ is 90°. The input signal frequency is $ 10^x $ rad/sec, where $ x $ is:
Two parabolas have the same focus $(4, 3)$ and their directrices are the $x$-axis and the $y$-axis, respectively. If these parabolas intersect at the points $A$ and $B$, then $(AB)^2$ is equal to:
A point particle of charge \( Q \) is located at \( P \) along the axis of an electric dipole 1 at a distance \( r \) as shown in the figure. The point \( P \) is also on the equatorial plane of a second electric dipole 2 at a distance \( r \). The dipoles are made of opposite charge \( q \) separated by a distance \( 2a \). For the charge particle at \( P \) not to experience any net force, which of the following correctly describes the situation?
