A rectangular glass block `(mu = 1.5)` is on top of a sheet of paper on which there on which there is a small dot. There is a layer of liquid between the paper and the glass block. The dot is visible through a vertical face up to a point where the angle of emergence of light (starting from the dot) is `30°`. Find the refractive index `(m_(0))` of the liquid. Can we see the dot through a vertical face if the liquid layer is replaced with air? `sin^(-1).(2)/(3) = 42^(@)`
1 Answers
An equiconvex lens, with redii of curvature of magnitude `10 cm` each, is put over a liquid layer poured on top of a plane mirror. `A` small needle, w
Refractive index of the liquid `=4//3`
2 Answers 1 views
Find the value of `int_(-1)^1[x^2+{x}]dx ,w h e r e[dot]a n d{dot}` denote the greatest function and fractional parts of `x ,` respectively.
Correct Answer - `(3-sqrt(5))/2` `int_(-1)^(1)[x^(2)+{x}]dx=int_(-1)^(0)[x^(2)+x+1]dx+int_(0)^(1)[x^(2)+x]dx` `=0+int_(0)^((sqrt(5)-1)/2)0dx+int_((sqrt(5)-1)/2)^(1)1dx` `=(3-sqrt(5))/2`
2 Answers 1 views
(Modern Small Scale Industries, Challenges before Small Scale Industries, Traditional Small Scale Industries, Importance of Small Scale Industries)
Group A Group B (1) Hand loom, Handicraft, Coir, Sericulture Traditional Small Scale Industries (2) Modern Small Scale Industries Bicycles parts, sewing machines, Blades, Razor, Electric Appliances, Spare parts (3) Job opportunities, Regional balance, Reduce migration, Maximum...
2 Answers 1 views
An infinite sheet in xy plane has a uniform surface charge density `sigma`. The thickness of the sheet is infinitesimally small. The sheet begins to m
Correct Answer - (1) `E=sigma/(2in_(0))` perpendiculary away from the sheet `B=(mu_(0)sigmav)/2` parallel to the sheet in `-ve` and `+ve` y direction (2) E= same as in (1);`B=0`
2 Answers 2 views
In the aquatic biome top layer is called aphotic layer.
(b) Only R is correct
2 Answers 3 views
The size of a carbon block is `1.0xx10 cm xx50 cm`. Find its resistance (i) between the opposite square faces (ii) between the opposite rectangular fa
Correct Answer - `0.175 Omega, 7.0xx10^(-5) Omega`
2 Answers 1 views
A square sheet of side 5 cm is cut out from a rectangular piece of an aluminium sheet of length 9 cm and breadth 6 cm. What is the area of the alumini
Correct Answer - 29 `cm^(2)`
2 Answers 1 views
From the four corners of a rectangular plastic sheet of size `34cmxx24cm`, four squares each of side 2 cm are cut and removed. The remaining sheet is
Correct Answer - Rs. 108
2 Answers 1 views
The length and breadth of a rectangular sheet of paper are 60 cm and 30 cm, respectively. A square of side 5 cm is cut and removed from the four corne
Correct Answer - `5000cm^(3)`
2 Answers 3 views
The angle of depression of the top of the tower from the top of a building is `30^(@)` and angle of elevation of the top of the tower from the bottom
Correct Answer - `(20(1+sqrt3))/(sqrt3)m`
2 Answers 1 views