When light is incident on a medium at angle i and refracted into … - Vidyadip

MCQ

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

A
Velocity of light in the second medium is $1.73$ times the velocity of light in the I medium
B
Velocity of light in the I medium is $1.73$ times the velocity in the II medium
C
The critical angle for the two media is given by$ sin$ ${i_c} = \frac{1}{{\sqrt 3 }}$
✓
Both ($b$) and ($c$)

✓

Answer

Correct option: D.

Both ($b$) and ($c$)

d
$(b,c)$ 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

Explore more

More "M.C.Q (1 Marks)" from 9. Ray optics abd optical instruments→9. Ray optics abd optical instruments — all question types→Physics STD 12 Science question papers→CBSE Board STD 12 Science question papers→CBSE Board question paper generator→

Similar questions

In the figure the charge $Q$ is at the centre of the circle. Work done is maximum when another charge is taken from point $P$ to

A railway compartment is lit up by thirteen lamps each taking $2.1\, amp$ at $15\, volts$. The heat generated per second in each lamp will be ............ $cal$

Match the List $-I$ (Phenomenon associated with electromagnetic radiation) with List $-II$ (Part of electromagnetic spectrum) and select the correct code from the choices given below this lists

List $I$	List $II$
$I$ Doublet of sodium	$(A)$ Visible radiation
$II$ Wavelength corresponding to temperature associated with the isotropic radiation filling all space	$(B)$ Microwave
$III$ Wavelength emitted by atomic hydrogen in interstellar space	$(C)$ Short radio wave
$IV$ Wavelength of radiation arising from two close energy levels in hydrogen	$(D)$ $X-$ rays

A normally incident ray reflected at an angle of ${90^o}$. The value of critical angle is.......$^o$

When a parallel plates capacitor is connected to a source of constant potential difference,

In the following reaction the value of $‘X’$ is $_7{N^{14}}{ + _2}H{e^4}\, \to \,X{ + _1}{H^1}$

In a circuit consisting of a capacitance and a generator with alternating emf $E_{g}=E_{g0}$ $sin\omega t,$ $V_{C}$ and ${I}_{{C}}$ are the voltage and current. Correct phasor diagram for such circuit is :

Two equally charged, identical metal spheres A and B repel each other with a force 'F'. The spheres are kept fixed with a distance 'r' between them. A third identical, but uncharged sphere C is brought in contact with A and then placed at the mid-point of the line joining A and B. The magnitude of the net electric force on C is

Figure shows a cross-section of a large-section of an infinite metal sheet carrying an electric current along its surface. The current per unit length is $J$ . A current carrying square loop is placed nearby the metal sheet such that the plane of square is perpendicular to the plane of sheet then

The magnifying power of a simple microscope can be increased, if we use eye-piece of