A small air bubble within a glass sphere of radius 0.02 m appears to be 0.01 m below the surface,when looked along a diameter containing the buble.Find the real depth of the bubble along the line of sight.Given,`mu=1.54`.

Two separate air bubbles (radii 0.002 m and 0.004 m) formed of the same liquid (surface tension 0.70 Nm^-1)~ came together to form a double bubble. Find the radius and sense of curvature of the internal film surface common to both the bubbles.

Fig.2.49 shows a solid glass sphere of radius 5 cm that has a small air bubble O trapped at a distance 2 cm from the centre C.Th refractive index of the material of glass is 1.5.Find the apparent position of the bubble where it will appear ,when seen throught the surface from an ougtside point E. .

A glass sphere of radius 5 xx 10^-2 m has a small bubble 2 xx 10^-2m from its centre. The bubble is viewed along a diameter of the sphere, from the side on which it lies. How far from the sphere will it appear? Refractive index of glass 1.5.

What is the excess pressure inside a bubble of soap solution of radius 5.00 mm,given that the surface tension of soap solution at the temperature (20^@C) is 2.50xx 10 2 N in 1 ? If an air bubble of the same dimension were formed at depth of 40.0 cm inside a container containing the soap solution (of relative density 1.20), what would be the pressure inside the bubble ? (1 atmospheric pressure is 1.01xx 105 Pa).

Mercury has an angle of contact equal to 140^@ with soda lime glass. A narrow tube of radius 1.00 mm made of this glass is dipped in a trough containing mercury. By what amount does the mercury dip down in the tube relative to the liquid surface outside ? Surface tension of mercury at the temperature of the experiment is 0.465 N m^-1 . Density of mercury = 13.6xx 10^3 kg m^-3 .

A small magnet of magnetic moment pixx10^(-3) Am^(2) is placed on the Y-axis at a distance of 0.1 from the origin with its axis parallel to the X-axix. A coil have 169 turns and radius 0.05 m is placed on the X-axis at a distance of 0.12 m from the origin with the axis of the coil coinciding with the X-axis. Find the magnitude and direction of the current in the coil for a compass needle placed at the origin, to point in the north-south direction.

A telescope has an objective of diameter of 60 cm. The focal lengths of the objective and eye piece are 2.0 m and 1.0 cm respectively. The telescope is directed to view two distant almost point sources of light (e.g. two stars of a binary). The sources are at roughly the same distance (=10^4 light years) along the line of sight but separated transverse to the line of sight by a distnace of 10^10 m . what will the telescope resolve the two objects i.e. will it see two distinct stars?

A steel wire of mass mu per unit length with a circular cross section has a radius of 0.1 cm. The wire is of length 10 m when measured lying horizontal, and hangs from a hook on the wall. A mass of 25 kg is hung from the free end of the wire. Assuming the wire to be uniform and lateral strains < < longitudinal strains, find the extension in the length of the wire. The density of steel is 7860 kg m^-3 (Young's modulues Y = 2 xx 10^11 N m^-2)