1
JEE Main 2016 (Offline)
MCQ (Single Correct Answer)
+4
-1
Change Language
The box of a pin hole camera, of length $$L,$$ has a hole of radius a. It is assumed that when the hole is illuminated by a parallel beam of light of wavelength $$\lambda $$ the spread of the spot (obtained on the opposite wall of the camera) is the sum of its geometrical spread and the spread due to diffraction. The spot would then have its minimum size (say $${b_{\min }}$$) when :
A
$$a = \sqrt {\lambda L} \,$$ and $${b_{\min }} = \sqrt {4\lambda L} $$
B
$$a = {{{\lambda ^2}} \over L}$$ and $${b_{\min }} = \sqrt {4\lambda L} $$
C
$$a = {{{\lambda ^2}} \over L}$$ and $${b_{\min }} = \left( {{{2{\lambda ^2}} \over L}} \right)$$
D
$$a = \sqrt {\lambda L} $$ and $${b_{\min }} = \left( {{{2{\lambda ^2}} \over L}} \right)$$
2
JEE Main 2016 (Offline)
MCQ (Single Correct Answer)
+4
-1
Change Language
In an experiment for determination of refractive index of glass of a prism by $$i - \delta ,$$ plot it was found thata ray incident at angle $${35^ \circ }$$, suffers a deviation of $${40^ \circ }$$ and that it emerges at angle $${79^ \circ }.$$ In that case which of the following is closest to the maximum possible value of the refractive index?
A
$$1.7$$
B
$$1.8$$
C
$$1.5$$
D
$$1.6$$
3
JEE Main 2016 (Offline)
MCQ (Single Correct Answer)
+4
-1
Change Language
An observer looks at a distant tree of height $$10$$ $$m$$ with a telescope of magnifying power of $$20.$$ To the observer the tree appears:
A
$$20$$ times taller
B
$$20$$ times nearer
C
$$10$$ times taller
D
$$10$$ times nearer
4
JEE Main 2016 (Offline)
MCQ (More than One Correct Answer)
+4
-1
Out of Syllabus
Change Language
For a common emitter configuration, if $$\alpha $$ and $$\beta $$ have their usual meanings, the incorrect relationship between $$\alpha $$ and $$\beta $$ is :
A
$$\alpha = {\beta \over {1 + \beta }}$$
B
$$\alpha = {{{\beta ^2}} \over {1 + {\beta ^2}}}$$
C
$${1 \over \alpha } = {1 \over \beta } + 1$$
D
$$\alpha = {\beta \over {1 - {\beta ^2}}}$$
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