MCQ
A ray of monochromatic light suffers minimum deviation of ${38^o}$ while passing through a prism of refracting angle ${60^o}$. Refractive index of the prism material is
- ✓$1.5$
- B$1.3$
- C$0.8$
- D$2.4$
✓
Answer
Correct option: A.
$1.5$
a
(a) $\mu = \frac{{\sin \frac{{A + {\delta _m}}}{2}}}{{\sin \frac{A}{2}}}$$ = \frac{{\sin \frac{{60 + 38}}{2}}}{{\sin \frac{{60}}{2}}}$
$ = \frac{{\sin {{49}^o}}}{{\sin {{30}^o}}}$$ = \frac{{0.7547}}{{0.5}} = 1.5$.
(a) $\mu = \frac{{\sin \frac{{A + {\delta _m}}}{2}}}{{\sin \frac{A}{2}}}$$ = \frac{{\sin \frac{{60 + 38}}{2}}}{{\sin \frac{{60}}{2}}}$
$ = \frac{{\sin {{49}^o}}}{{\sin {{30}^o}}}$$ = \frac{{0.7547}}{{0.5}} = 1.5$.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
A convex mirror is used to form the image of an object. Then which of the following statements is wrong
Young's modulus of a material has the same units as
A particle moves along a straight line. Its position at any instant is given by $x=32 t-\frac{8 t^3}{4}$, where $x$ is in metre and $t$ is in second. Find the acceleration of the particle at the instant when particle is at rest $..........\,m / s ^2$
→A point source of $e. m.$ radiation has an average power output of $800\,W$ . The maximum value of electric field at a distance $4.0\,m$ from the source is...$V/m$
→In absence of torque the rotational frequency of a body changes from $1$ cy/sec to $16$ cy/sec, then ratio of radius of gyration in two cases will be :
→Using Young's double slit experiment, a monochromatic light of wavelength $5000\,\mathring A$ produces fringes of fringe width $0.5 \,mm$. If another monochromatic light of wavelength $6000\,\mathring A$ is used and the separation between the slits is doubled, then the new fringe width will be ............... $mm$
→Two simple pendulums of length $0.5\, m$ and $2.0\, m$ respectively are given small linear displacement in one direction at the same time. They will again be in the phase when the pendulum of shorter length has completed .... oscillations.
→The volume of a gas at $21°C$ temperature and $768 \,mm$ pressure is $1\, litre$. If the density of the gas is $1.2\, gm/litre$ at $NTP,$ then its mass will be ..... $gm$
→A beam of light converges at a point $P$. Now a lens is placed in the path of the convergent beam $12\, cm$ from $P$. At what point does the beam converge if the lens is a concave lens of focal length $16\,cm$ ?.......$cm$
→Two infinitely long wires each carrying current $I$ along the same direction are made into the geometry as shown in the figure below. The magnetic field at the point $P$ is
→