| List I | List II | ||
| A. | Troposphere | I. | Approximate 65-75 km over Earth’s surface |
| B. | E- Part of Stratosphere | II. | Approximate 300 km over Earth’s surface |
| C. | F2- Part of Thermosphere | III. | Approximate 10 km over Earth’s surface |
| D. | D- Part of Stratosphere | IV. | Approximate 100 km over Earth’s surface |
For each layer of Earth's atmosphere, the typical altitudes are as follows:
Troposphere: The troposphere extends up to approximately 10 km, so the correct match is \( A \rightarrow III \).
E-Part of Stratosphere: This part of the stratosphere reaches up to about 50 km. Considering the general range, the match is \( B \rightarrow IV \).
F\(_2\)-Part of Thermosphere: The F\(_2\)-layer of the thermosphere can extend as high as 300 km, resulting in the match \( C \rightarrow II \).
D-Part of Stratosphere: The D-part of the stratosphere reaches about 50 km, so the match is \( D \rightarrow I \).
Which one of the following graphs accurately represents the plot of partial pressure of CS₂ vs its mole fraction in a mixture of acetone and CS₂ at constant temperature?

Let \( \alpha = \dfrac{-1 + i\sqrt{3}}{2} \) and \( \beta = \dfrac{-1 - i\sqrt{3}}{2} \), where \( i = \sqrt{-1} \). If
\[ (7 - 7\alpha + 9\beta)^{20} + (9 + 7\alpha - 7\beta)^{20} + (-7 + 9\alpha + 7\beta)^{20} + (14 + 7\alpha + 7\beta)^{20} = m^{10}, \] then the value of \( m \) is ___________.
In mechanics, the universal force of attraction acting between all matter is known as Gravity, also called gravitation, . It is the weakest known force in nature.
According to Newton’s law of gravitation, “Every particle in the universe attracts every other particle with a force whose magnitude is,
On combining equations (1) and (2) we get,
F ∝ M1M2/r2
F = G × [M1M2]/r2 . . . . (7)
Or, f(r) = GM1M2/r2
The dimension formula of G is [M-1L3T-2].