MCQ
$A$ concave mirror is placed on a horizontal surface and two thin uniform layers of different transparent liquids (which do not mix or interact) are formed on the reflecting surface. The refractive indices of the upper and lower liquids are $\mu_1$ and $\mu_2$ respectively. The bright point source at a height $‘d’$ ($d$ is very large in comparison to the thickness of the film) above the mirror coincides with its own final image. The radius of curvature of the reflecting surface therefore is
  • A
    $\frac{{{\mu _1}\,d}}{{{\mu _2}}}$
  • B
    $\mu_1\mu_2d$
  • C
    $\mu_1d$
  • $\mu_2d$

Answer

Correct option: D.
$\mu_2d$
d

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

A uniform magnetic field of induction $B$ is confined to a cylindrical region of radius $R$. The magnetic field is increasing at a constant rate of $\frac{{dB}}{{dt}} (tesla/second)$. An electron is placed at the point $P$ on the periphery of the field experiences an acceleration
Two springs of spring constants $1500\, N/m$ and $3000\, N/m$ respectively are stretched with the same force. They will have potential energy in the ratio
A whistle producing sound waves of frequencies $9500\ Hz$ and above is approaching a stationary person with speed $v\ ms^{-1}$. The velocity of sound in air is $300\ ms^{-1}$. If the person can hear frequencies upto a maximum of $10,000\ Hz$, the maximum value of $v$ upto which he can hear whistle is ... $ms^{-1}$
A rectangular loop of wire shown below is coplanar with a long wire carrying current $I$. The loop is pulled to the right a s indicated. What are the directions of the induced current in the loop and the magnetic forces on the left and the right sides of the loop?
  Induced current Force on left side Force on right side
$a.$ Counter clockwise To the left To the right
$b.$ clockwise To the left To the right
$c.$ Counter clockwise To the right To the left
$d.$ clockwise To the right To the left

A $100$ $turns$ coil shown in figure carries a current of $2\, amp$ in a magnetic field $B = 0.2\,Wb/{m^2}$. The torque acting on the coil is
A thin infinite sheet charge and an infinite line charge of respective charge densities $+\sigma$ and $+\lambda$ are placed parallel at $5\,m$ distance from each other. Points $P$ and $Q$, are at $\frac{3}{\pi} m$ and $\frac{4}{\pi} m$ perpendicular distance from line charge towards sheet charge, respectively. $E_P$ and $E_Q$ are the magnitudes of resultant electric field intensities at point $P$ and $Q$, respectively. If $\frac{E_p}{E_Q}=\frac{4}{a}$ for $2|\sigma|=|\lambda|$. Then the value of $a$ is ...........
A vertical triangular plate $ABC$ is placed inside water with side $BC$ parallel to water surface as shown. The force on one surface of plate by water is (density of water is $\rho $ and atmospheric pressure $P_0$ ) 
A conducting ring of radius $R$ is placed in uniform inward magnetic field $\vec B$ as shown. If ring is moving with velocity $\vec v$ in its plane, the induced $emf$ across arc $PQ$ will be 
Three capacitors each having capacitance $C = 2\,\mu F$ are connected with a battery of $e.m.f.$ $30\, V$ as shown in the figure. When the switch $S$ is closed, then select the incorrect statement
In an experiment of potentiometer for measuring the internal resistance of primary cell a balancing length $\ell $ is obtained on the potentiometer wire when the cell is open circuit. Now the cell is short circuited by a resistance $R$. If $R$ is to be equal to the internal resistance of the cell the balancing length on the potentiometer wire will be