| 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 \( D \rightarrow I \).
Let A be a 3 × 3 matrix such that \(\text{det}(A) = 5\). If \(\text{det}(3 \, \text{adj}(2A)) = 2^{\alpha \cdot 3^{\beta} \cdot 5^{\gamma}}\), then \( (\alpha + \beta + \gamma) \) is equal to:

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].