Mathematical Physics MCQs Question and Answer in Engineering Physics
Explore a curated set of multiple-choice questions (MCQs) focused on Mathematical Physics within the engineering Physics section. Mathematical Physics MCQ Quiz Pdf and prepare for your upcoming exams Like GATE and engineering exams. Page-5 section-1
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The points, where the series solution of the Legendre differential equation \[\left( {1 - {x^2}} \right)\frac{{{d^2}y}}{{d{x^2}}} - 2x\frac{{dy}}{{dx}} + \frac{3}{2}\left( {\frac{3}{2} + 1} \right)y = 0\] will diverge, are located at
The solution of the system of differential equations \[\frac{{dy}}{{dx}} = y - z\] and \[\frac{{dz}}{{dx}} = - 4y + z\] is given by (for A and B are arbitrary constants)
The value of the integral \[\int\limits_C {\frac{{{e^z}}}{{{z^2} - 3z + 2}}dz,} \] where the contour C is the circle \[\left| z \right| = \frac{3}{2}\] is
Consider the Bessel equation \[\left( {v = 0} \right),\,\frac{{{d^2}y}}{{d{z^2}}} + \frac{1}{z}\frac{{dy}}{{dz}} + y = 0.\]
Which one of the following statements is correct?
If \[F\left[ {f\left( x \right)} \right] = \int_{ - \infty }^\infty {f\left( x \right){e^{ - ikx}}dx,} \] then \[{{\hat F}^2}\left[ {f\left( x \right)} \right]\] is equal to
If u (x, y, z, t) = f(x + iβy - vt) + g(x - iβy - vt), where f and g are arbitrary and twice differentiable functions, is a solution of the wave equation $$\frac{{\partial {u^2}}}{{\partial {x^2}}} = \frac{{{\partial ^2}u}}{{\partial {y^2}}} = \frac{1}{{{c^2}}}\frac{{{\partial ^2}u}}{{\partial {t^2}}}$$ then β is
