MCQ
Parallel rays are incident on a transparent sphere along its one diameter. After refrection these rays converge at the other end of this diameter the refractive index of the sphere is
- A$1$
- B$1.5$
- C$1.6$
- ✓$2 $
✓
Answer
Correct option: D.
$2 $
d
$\frac{\mu_{2}}{v}-\frac{\mu_{1}}{u}=\frac{\mu_{2}-\mu_{1}}{R}$
$\frac{\mu_{2}}{v}-\frac{\mu_{1}}{u}=\frac{\mu_{2}-\mu_{1}}{R}$
$\mathrm{v}=2 \mathrm{R}, \mathrm{u}=\infty, \mathrm{R}=+\mathrm{R}, \mu_{1}=1, \mu_{2}=\mu$
$\frac{\mu}{2 R}-\frac{1}{\infty}=\frac{\mu-1}{R} \Rightarrow \mu=2$
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
The diameter and height of a cylinder are measured by a meter scale to be $12.6 \pm 0.1\, cm$ and $34.2 \pm 0.1\, cm$, respectively. What will be the value of its volume in appropriate significant figures?
→A pendulum clock (fitted with a small heavy bob that is connected with a metal rod) is $5\, seconds$ fast each day at a temperature of $15\,^oC$ and $10\,seconds$ slow at a temperature of $30\,^oC$. The temperature at which it is designed to give correct time, is ........ $^oC$
→An inductive circuit contains resistance of $10\,\Omega $ and an inductance of $20\,H$ . If an $ac$ voltage of $120\,V$ and frequency $60\,Hz$ is applied to his circuit, the current would be nearly ................$Amp$
→Two semicircular rings of linear mass densities $\lambda $ and $3\lambda $ and of radius $R$ each are joining to form a complete ring. The distance of the centre of the mass of complete ring from its geometrical centre is
→In a thermodynamic system working substance is ideal gas, its internal energy is in the form of
A tall man of height $6$ feet, want to see his full image. Then required minimum length of the mirror will be ......... feet
→A system changes from the state $({P_1},\;{V_1})$ to $({P_2},{V_2})$ as shown in the figure. What is the work done by the system
→Parallel rays are incident on a thick plano-convex lens having radius of curvature $R$, refractive index $μ$ and thickness $t$. When rays are incident on plane surface they converge at a distance $x$ from plane surface. When rays are incident on curved surface then rays converge at $y$ distance from curved surface. Then
→If $10\%$ of a radioactive material decays in $5$ days, then the amount of original material left after $20$ days is approximately ...............$\%$
→From the following graph find the magnitude of negative force ............ $N$
→