Engineering Physics · all questions

Mathematical Physics
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Q81

A real traceless 4 × 4 matrix has to eigen values -1 and +1. The other eigen values are

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Q82

l = C \oint d z l n (z),

where C is the unit circle taken anticlockwise and

l

n(z) is the principal branch of the Logarithmic function, which one of the following is correct?

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Q83

If a vector field

F = x i^+ 2 y j^+ 3 z k^,

then

\nabla \times (\nabla \times F)

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Q84

Consider the set of vectors;

\frac{1}{2}

(1, 1, 0);

\frac{1}{2}

(0, 1, 1) and

\frac{1}{2}

(1, 0, 1).

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Q85

Solution of the differential equation

x \frac{d y}{d x} + y = x^{4},

with the boundary condition that y = 1, at x = 1, is

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Mathematical Physicspractice.