Step 1: Recall the discontinuous branch of Bowen's reaction series. Bowen's reaction series describes the temperature at which different silicate minerals crystallize from a cooling magma. The discontinuous series describes the formation of ferromagnesian minerals.
Step 2: List the minerals in the discontinuous series in order of decreasing crystallization temperature. The order is: 1. Olivine (e.g., Forsterite, D) - Highest Temperature 2. Pyroxene (e.g., Clinopyroxene, B) 3. Amphibole 4. Biotite mica (A) - Lowest Temperature
Step 3: Identify the minerals that crystallize before (at a higher temperature than) amphibole. According to the series, both Olivine (Forsterite) and Pyroxene (Clinopyroxene) crystallize before amphibole.
Step 4: Check the other minerals. - Biotite (A) crystallizes after amphibole. - K-feldspar (C) is on the continuous branch and crystallizes at lower temperatures than amphibole. Conclusion: The minerals that crystallize prior to amphibole are Clinopyroxene (B) and Forsterite (D).
If \(f(t)\) is the inverse Laplace transform of \( F(s) = \frac{s+1+s^{-2}}{s^2-1} \), then \(f(t)\) is
Match LIST-I with LIST-II
LIST-I (Differential Equation)
(A) \(\frac{dy}{dx} = 2x(y-x^2+1)\)
(B) \(x\frac{dy}{dx} + 2(x^2+1)y=6\)
(C) \((x^2+1)\frac{dy}{dx} + 2xy = x \sin x\)
(D) \(x^3\frac{dy}{dx} + 2xy = 2x^2e^{x^2}\)
LIST-II (Integrating Factor)
(I) \(x^2\)
(II) \(e^{-x^2}\)
(III) \(x^2e^x\)
(IV) \(1+x^2\)
Choose the correct answer from the options given below: