List of top Metallurgy Questions on Miscellaneous

Suppose that the average number of accidents occurring weekly on a particular stretch of a highway equals 3. The probability that there is at least two accidents in a week is

The Newton-Raphson method is used to find the root of the equation f(x) \(\equiv\) x\(^2\) \(-\) x \(-\) 1 \(=\) 0. If the initial guess for the root is 1, then the estimate of the root after two iteration is

If the density function of X equals f(x) \(=\) \(\begin{cases} ce^{-2x}, & 0 \lt x \lt \infty \\ 0, & x \lt 0 \end{cases}\), then P(X \(\gt \) 2) is

Under which one of the following conditions does the system of equations \(\begin{pmatrix} 1 & 2 & 4 \\ 2 & 1 & 2 \\ 1 & 2 & k-4 \end{pmatrix} \begin{pmatrix} x \\ y \\ z \end{pmatrix} = \begin{pmatrix} 6 \\ 4 \\ k \end{pmatrix}\) have a unique solution?

If f(x, y) \(=\) x\(^3\)y \(+\) xy\(^3\) \(+\) e\(^{xy^2}\), then f\(_y\)(1, 1) is

If y\(_1\) and y\(_2\) be two solutions of the differential equation \(\frac{d^2y}{dx^2} + 2y = f(x)\), then y\(_1\) + y\(_2\) is also solution of

Let S be the surface of the cube bounded by x \(=\) 0, x \(=\) 1, y \(=\) 0, y \(=\) 1, z \(=\) 0, z \(=\) 1. The value of the surface integral \(\iint_S \vec{F} \cdot d\vec{s}\) of a vector field \(\vec{F} = 4xz \hat{i} - y^2 \hat{j} + yz \hat{k}\) over the entire surface S of the cube, is _____

The solution of the differential equation \(\frac{d^3y}{dx^3} - 5\frac{d^2y}{dx^2} + 8\frac{dy}{dx} - 4y = 0\) is

If F(s) denotes the Laplace transform of some function f(t), then the Laplace transform of e\(^{-at}\)f(t), where a is a real constant, is

Let A be a 3 \(\times\) 3 matrix such that the characteristic polynomial of A is f(x) \(=\) x\(^3\) \(-\) 4x\(^2\) \(-\) 11x \(+\) 30. If one of the eigenvalues of A is \(-\)3, then sum of the other two eigenvalues is

The main purpose of vulcanization of rubber is to

The formation of a passive layer decreases corrosion rate because it

In ferromagnetic materials, magnetic domains:

Which process is fundamentally characterized by the uniform distribution of the substance throughout the bulk phase of the material?

The primary mechanism that draws the molten filler metal into the narrow gap between the workpieces during brazing is

Forming limit diagram (FLD) is used for:

The Pilling-Bedworth ratio is defined as:

Ceramic oxide used for thermal barrier coating in Turbine blades is

Which one of the following is not related to Twin Roll Casting process?

Which is the neutral point in rolling?

Spring back occurs due to

Solidification cracking occurs due to

Rolling defect ``alligatoring'' causes

Lapses in forging occur due to

Brazing temperature is