1
GATE ECE 1993
MCQ (Single Correct Answer)
+2
-0.6
An optical fiber consists of a cylindrical dielectric rod of refractive index $$n_1$$, surrounded by another dielectric of refractive index $$n_2$$ where $$n_2$$ < $$n_1$$ as shown in the following Fig. If a ray is incident from air at angle i to the axis, then it undergoes total internal reflection at the interface AB if GATE ECE 1993 Electromagnetics - Waveguides Question 13 English
A
$$i\,\, \ge \,\,{\sin ^{ - 1}}\,\sqrt {{n_1}^2 - {n_2}^2} $$
B
$$i\,\, < \,\,{\sin ^{ - 1}}\,\sqrt {{n_1} - {n_2}} $$
C
$$i\,\, \le \,\,{\sin ^{ - 1}}\,\sqrt {{n_1}^2 - {n_2}^2} $$
D
$$i\,\, = \,\,{\sin ^{ - 1}}\,\sqrt {{n_1} - {n_2}} $$
2
GATE ECE 1993
MCQ (More than One Correct Answer)
+2
-0.6
The built-in potential (Diffusion Potential) in a p-n junction
A
is equal to the difference in the Fermi level of the two sides, expressed in volts.
B
increases with the increase in the doping levels of the two sides.
C
increases with the increase in temperature.
D
is equal to the average of the Fermi levels of the two sides.
3
GATE ECE 1993
Fill in the Blanks
+1
-0
If the linear velocity $${\overrightarrow V }$$ is given by $$\overrightarrow V = {x^2}y\overrightarrow i + xyz\overrightarrow j - y{z^2}\overrightarrow k $$ then the angular velocity $$\overrightarrow W $$ at the point $$\left( {1,1, - 1} \right)$$ is _______.
4
GATE ECE 1993
Fill in the Blanks
+1
-0
Given the differential equation $${y^1} = x - y$$ with initial condition $$y(0)=0.$$ The value of $$y(0.1)$$ calculated numerically upto the third place of decimal by the $${2^{nd}}$$ order Runge-Kutta method with step size $$h=0.1$$ is
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