if the acceptance cone for the given fiber is 68.16 calculate the maximum entrance angle and numerical aperture if the cladding glass has a refractive index of a 1.52 calculate the refractive index of cone
.A man whose eyes are 130 cm above the oil film on water surface observes greenish colour at a distance of 90 c.m from his feet. Calculate the probable thickness of the film. (green=5000A0 ,µoil=1.4, µwater=1.33).
A particle of mass m is in a concentrated potential field V(r). Determine the equation of motion using the Lagrangian! is there a constant of motion? Explain !
(i) By giving an explanation, state whether frictional force is a conservative or
non-conservative force.
(ii) When the three blocks in Fig. 2 are released from rest, they accelerate with a
magnitude of 0.500 m/s2. Block 1 has mass M, block 2 has 2M, and block 3 has
2M. Determine the coefficient of kinetic friction between block 2 and the table.
[3,6]
A rectangular block of low density material weighs 25.0 N. A thin string is attached to the center
of the horizontal bottom of the block and tied to the bottom of a beaker partially filled with water.
When 20% of the block’s volume is submerged, the tension in the string is 15.0 N.
(i) Calculate the buoyant force acting on the block.(ii)The string breaks when the tension reaches 65 N, and at this moment, 25%
of the block’s volume is still below the water line. Determine the fraction
of the block’s volume that is below the top surface of the oil.
[3,5]
A tarantula of height h sits cautiously before a spherical mirror whose focal length has
absolute value | f | = 40 cm. The image of the tarantula produced by the mirror has the
same orientation as the tarantula and has height hꞌ= 0.20h.
(a) State with reasons, the image location and determine whether it is real or not.
(b) Determine the focal length f (sign included) of the mirror and hence deduce whether it
is a concave or convex mirror.
In Newton's ring experiment the diameter of 16 ^ (th) bright ring changes from 1.8 cm to 1.5cm when a liquid is introduced the plate and the lens. Find the refractive index of the liquid and the diameter of the 5 ^ (th) dark ring.
A man stands 50cm from a concave mirror with radius of curvature 10cm. Find t position of the image and the magnification
An object 1.00 cm high is placed 18.0cm from a converging lens forms a real image 2.00cm high. Calculate the focal length of the lens
A tarantula of height h sits cautiously before a spherical mirror whose focal length has
absolute value | f | = 40 cm. The image of the tarantula produced by the mirror has the
same orientation as the tarantula and has height hꞌ= 0.20h.
(a) State with reasons, the image location and determine whether it is real or not.
(b) Determine the focal length f (sign included) of the mirror and hence deduce whether it
is a concave or convex mirror. [3,3]