Question
When light is incident on a medium at angle i and refracted into a second medium at an angle $ r$, the graph of $sin\, i $ vs $sin\,r $ is as shown in the graph. From this, one can conclude that

Answer

$(b,c)$  From graph $\tan {30^o} = \frac{{\sin r}}{{\sin i}} = \frac{1}{{_1{\mu _2}}}$

==> $_1{\mu _2} = \sqrt 3 $ ==> $\frac{{{\mu _2}}}{{{\mu _1}}} = \frac{{{v_1}}}{{{v_2}}} = 1.73$                    ==>${v_1} = 1.73\,{v_2}$

Also from $\mu = \frac{1}{{\sin C}}$ ==> $\sin C = \frac{1}{{_{Rarer}{\mu _{Denser}}}}$

==> $\sin C = \frac{1}{{_1{\mu _2}}} = \frac{1}{{\sqrt 3 }}$.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

Which of the following statements is correct for diamagnetic materials
A lensmaker has to design an achromatic combination of effective power $- 0 .5D$.  The two types of glasses to be used  (say $A$. and $B$) has dispersive powers in the ratio ${\omega _A}:{\omega _B} = 3:5$ Then the lens made rom glass $A$ will have focal length.......$cm$
The pitch and the number of divisions, on the circular scale, for a given screw gauge are $0.5\,mm$ and $100$ respectively. When the screw gauge is fully tightened without any object, the zero of its circular scale lies $3$ divisions below the mean line. The readings of the main scale and the circular scale for a thin sheet, are $5.5\,mm$ and $48$ respectively, the thickness of this sheet is
What is the $SI$ unit of permeability
The displacement of a particle starting from rest (at $t = 0$) is given by $s = 6{t^2} - {t^3}$. The time in seconds at which the particle will attain zero velocity again, is ..... $\sec$
$1\  mole$ of a gas with $\gamma$ = $7/5$ is mixed with $1\  mole$ of a gas with $\gamma$ = $5/3$, then the value of $\gamma$  for the resulting mixture is
A diatomic gas of molecules weight $30\,\, gm/mole$ is filled in a container at $27\,^oC$. It is moving at a velocity $100\,\, m/s$. If it is suddenly stopped, the rise in temperature of gas is : 
A particle of mass $m$ moving towards west with speed $v$ collides with another particle of mass $m$ moving towards south. If two particles stich to each other, the speed of the new particle of mass $2 m$ will be ..........
$A$ small ball $B$ of mass $m$ is suspended with light inelastic string of length $L$ from $a$ block $A$ of same mass $m$ which can move on smooth horizontal surface as shown in the figure. The ball is displaced by angle $\theta$ from equilibrium position & then released. The displacement of centre of mass of $A+ B$ system till the string becomes vertical is
It is possible for a substance to coexist in all three phases in equilibrium, when the substance is at