Solve this.
36. When a small lamp is held 1.5 m above the surface of water in a tank, its image formed by reflection as the surface appears to coincide with image of the bottom of the tank ( of water = 4/3). The depth of tank is
(a) 2 m
(b) 1.5 m
(c) 1 m
(d) 4 m
Dear Student,
The equation used for this problem is as follows,
Real depth(d1)/Apparent depth(d2) = n2/n1 , n2 is the refractive index of the denser medium (water) and n1 is refractive index of the rarer medium (air).
Here the d2 is given as 1.5 m and for the case when the object in denser medium is viewed from the rarer medium
d1>d2. So here d1>1.5 and can be estimated as.
, where n2= 4/3 and n1=1 substituting the values, we have
The real depth of tank, d1 = 2 m.
Hence the solution is option (A).
I hope I solved your problem thoroughly.
Kindly post your doubts or difficulties in solving problems. Our experts are always ready to help you.
Regards
The equation used for this problem is as follows,
Real depth(d1)/Apparent depth(d2) = n2/n1 , n2 is the refractive index of the denser medium (water) and n1 is refractive index of the rarer medium (air).
Here the d2 is given as 1.5 m and for the case when the object in denser medium is viewed from the rarer medium
d1>d2. So here d1>1.5 and can be estimated as.
, where n2= 4/3 and n1=1 substituting the values, we have
The real depth of tank, d1 = 2 m.
Hence the solution is option (A).
I hope I solved your problem thoroughly.
Kindly post your doubts or difficulties in solving problems. Our experts are always ready to help you.
Regards