Question
Solve the previous problem if the paperweight is inverted at its place so that the spherical surface touches the paper.

Answer

Thickness of glass $=3\text{cm}, \ \mu_{\text{g}}=1.5$

Image shif $=3\Big(1-\frac{1}{1.5}\Big)$

[Treating it as a simple refraction problem because the upper surface is flat and the spherical surface is in contact with the object]

$=3\times\frac{0.5}{1.5}=1\text{cm}.$

The image will appear 1 cm above the point P.

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 vessel containing one mole of a monatomic ideal gas (molecular weight = 20gmol-1) is moving on a floor at a speed of 50ms-1. The vessel is stopped suddenly. Assuming that the mechanical energy lost has gone into the internal energy of the gas, find the rise in its temperature.
A uniformly moving train passes by a long platform. Consider the events' engine crossing the beginning of the platform' and 'engine crossing the end of the platform'. Which frame (train frame or the platform frame) is the proper frame for the pair of events?
A particle moves along a semicircular path of radius R in time t with constant speed.

For particle calculate:
  1. Distance travelled.
  2. Displacement.
  3. Average speed.
  4. Average velocity.
  5. Average acceleration.
A semicircular wire has a length L and mass M.A particle of mass m is placed at the centre of the circle. Find the gravitational attraction on the particle due to the wire.
A constant retarding force of 50 N is applied to a body of mass 20 kg moving intially with a speed of $15 ms^{-1}$. How long does the body take to stop?
A vector $\overrightarrow{\text{A}}$ makes an angle of 20° and $\overrightarrow{\text{B}}$ makes an angle of 110° with the X-axis. The magnitudes of these vectors are 3 m and 4 m respectively. Find the resultant.
Prove that the pressure at a depth h from the free surface of a liquid (P) in a container is $\text{P}=\text{P}_2+\text{h}\rho\text{g},$ where P, is the atmospheric pressure.
One end of a spring of natural length h and spring constant k is fixed at the ground and the other is fitted with a smooth ring of mass m which is allowed to slide on a horizontal rod fixed at a height h (figure). Initially, the spring makes an angle of 37° with the vertical when the system is released from rest. Find the speed of the ring when the spring becomes vertical.

A steel wire of original length 1m and cross-sectional area 4.00mm2 is clamped at the two ends so that it lies horizontally and without tension. If a load of 2.16kg is suspended from the middle point of the wire, what would be its vertical depression? Y of the steel = 2.0 × 1011N/m2 Take g = 10m/s2.
Find an expression for the orbital velocity of a satellite revolving around the earth in a circular orbit at a height h above the surface of earth.