1
GATE ME 2016 Set 3
Numerical
+2
-0
Two optically flat plates of glass are kept at a small angle $$\theta$$ as shown in the figure. Monochromatic light is incident vertically.

If the wavelength of light used to get a fringe spacing of $$1$$ $$mm$$ is $$450$$ $$nm,$$ the wavelength of light (in $$nm$$) to get a fringe spacing of $$1.5$$ $$mm$$ is ________________________.

2
GATE ME 2016 Set 2
+2
-0.6
For the situation shown in the figure below the expression for $$H$$ in terms of $$r, R$$ and $$D$$ is
A
$$H = D + \sqrt {{r^2} + {R^2}}$$
B
$$H = \left( {R + r} \right) + \left( {D + r} \right)$$
C
$$H = \left( {R + r} \right) + \sqrt {{D^2} - {R^2}}$$
D
$$H = \left( {R + r} \right) + \sqrt {2D\left( {R + r} \right) - {D^2}}$$
3
GATE ME 2015 Set 1
+2
-0.6
In the assembly shown below, the part dimensions are:
\eqalign{ & {L_1} = {22.0^{ \pm 0.01}}\,\,mm, \cr & {L_2} = {L_3} = {10.0^{ \pm 0.005}}\,\,mm, \cr}
Assuming the normal distributions of part dimensions, the dimension $${L_4}$$ in $$mm$$ for assembly condition would be,
A
$${2.0^{ \pm 0.008}}$$
B
$${2.0^{ \pm 0.012}}$$
C
$${2.0^{ \pm 0.016}}$$
D
$${2.0^{ \pm 0.020}}$$
4
GATE ME 2014 Set 4
+2
-0.6
A $$GO-No$$ $$GO$$ plug gauge is to be designed for measuring a hole of nominal diameter $$25$$ $$mm$$ with a hole tolerance of $$\pm 0.015\,\,mm.$$ Considering $$10\%$$ of work tolerance to be the gauge tolerance and no wear condition, the dimension (in $$mm$$) of the $$GO$$ plug gauge as per the unilateral tolerance system is
A
$${24.985^{\matrix{ { + 0.003} \cr { - 0.003} \cr } }}$$
B
$${25.015^{\matrix{ { + 0.000} \cr { - 0.006} \cr } }}$$
C
$${24.985^{\matrix{ { + 0.03} \cr { - 0.03} \cr } }}$$
D
$${24.985^{\matrix{ { + 0.003} \cr { - 0.000} \cr } }}$$
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