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A point object ‘O’ is placed along x-axis An equi-convex thin lens open parentheses mu subscript g end subscript equals 1.5 close parentheses of focal length f=20cm in air is placed so that its principal axis is along x-axis Now the lens is cut at the middle (along the principal axis) and upper half is shifted along x-axis and y-axis by 20cm and 2mm respectively and right side of lower half is filled with water open parentheses mu subscript w end subscript equals fraction numerator 4 over denominator 3 end fraction close parentheses co-ordinates of image formed by lenses are

  1. open parentheses fraction numerator 320 over denominator 3 end fraction c m comma fraction numerator 8 over denominator 3 end fraction m m close parentheses    
  2. open parentheses fraction numerator 320 over denominator 3 end fraction c m comma 0 close parentheses    
  3. left parenthesis 80 c m comma 0 right parenthesis    
  4. left parenthesis 140 c m comma 0 right parenthesis    

The correct answer is: open parentheses fraction numerator 320 over denominator 3 end fraction c m comma fraction numerator 8 over denominator 3 end fraction m m close parentheses

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An object is placed 20 cm in front of a plano– convex lens of focal length 15 cm The plane surface of the lens is silvered The image will be formed at a distance

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Two thin convex lenses of focal lengths f1 and f2 are separated by a horizontal distance d text  (where  end text d less than f subscript 1 end subscript comma d less than f subscript 2 end subscript text  ) end text and their centers are displaced by a vertical separation D as shown in the figure : Taking the origin of coordinates, O, at the center of the first lens, the x and y-coordinates of the focal point of this lens system, for a parallel beam of rays coming from the left, are given by :

Two thin convex lenses of focal lengths f1 and f2 are separated by a horizontal distance d text  (where  end text d less than f subscript 1 end subscript comma d less than f subscript 2 end subscript text  ) end text and their centers are displaced by a vertical separation D as shown in the figure : Taking the origin of coordinates, O, at the center of the first lens, the x and y-coordinates of the focal point of this lens system, for a parallel beam of rays coming from the left, are given by :

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A ray OP of monochromatic light is incident on the face AB of prism ABCD near vertex B at an incident angle of 600 (see figure) If the refractive index of the material of the prism is square root of 3, which of the following is (are) correct?

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Man and mouse cells are treated with red rhodamine and Green fluorescent dyes separately and then are made to fuse. The resultant cells when kept at 37ºC, the distribution of dye on the surface of cell will be like–

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Which of the following statements is not correct?

Which of the following statements is not correct?

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maths-

A d j. left parenthesis A B right parenthesis minus left parenthesis A d j. B right parenthesis left parenthesis A d j. A right parenthesis equals

It is obvious.

A d j. left parenthesis A B right parenthesis minus left parenthesis A d j. B right parenthesis left parenthesis A d j. A right parenthesis equals

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If A equals open parentheses table row 1 2 0 row 0 1 2 row 2 0 1 end table close parentheses comma then adj A

A equals open square brackets table row 1 2 0 row 0 1 2 row 2 0 1 end table close square brackets,
A subscript 11 end subscript equals 1 comma A subscript 21 end subscript equals negative 2 comma A subscript 31 end subscript equals 4
A subscript 12 end subscript equals 4 comma A subscript 22 end subscript equals 1 comma A subscript 32 end subscript equals negative 2
A subscript 13 end subscript equals negative 2 comma A subscript 23 end subscript equals 4 comma A subscript 33 end subscript equals 1
A d j left parenthesis A right parenthesis equals open square brackets table row 1 cell negative 2 end cell 4 row 4 1 cell negative 2 end cell row cell negative 2 end cell 4 1 end table close square brackets.

If A equals open parentheses table row 1 2 0 row 0 1 2 row 2 0 1 end table close parentheses comma then adj A

maths-General
A equals open square brackets table row 1 2 0 row 0 1 2 row 2 0 1 end table close square brackets,
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A subscript 13 end subscript equals negative 2 comma A subscript 23 end subscript equals 4 comma A subscript 33 end subscript equals 1
A d j left parenthesis A right parenthesis equals open square brackets table row 1 cell negative 2 end cell 4 row 4 1 cell negative 2 end cell row cell negative 2 end cell 4 1 end table close square brackets.
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Which of the following is not true

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The inverse of open square brackets table row 1 2 3 row 0 1 2 row 0 0 1 end table close square bracketsis

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A to the power of negative 1 end exponent equals fraction numerator A d j left parenthesis A right parenthesis over denominator vertical line A vertical line end fraction equals open square brackets table row 1 cell negative 2 end cell 1 row 0 1 cell negative 2 end cell row 0 0 1 end table close square brackets.

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A d j left parenthesis A right parenthesis equals open square brackets table row 1 cell negative 2 end cell 1 row 0 1 cell negative 2 end cell row 0 0 1 end table close square brackets
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a d j left parenthesis A right parenthesis equals open square brackets table row cell A subscript 11 end subscript end cell cell A subscript 21 end subscript end cell cell A subscript 31 end subscript end cell row cell A subscript 12 end subscript end cell cell A subscript 22 end subscript end cell cell A subscript 32 end subscript end cell row cell A subscript 13 end subscript end cell cell A subscript 23 end subscript end cell cell A subscript 33 end subscript end cell end table close square brackets
fraction numerator left parenthesis negative 1 right parenthesis to the power of 3 plus 2 end exponent M subscript 32 end subscript over denominator negative 2 end fraction comma text end text equals fraction numerator negative left parenthesis negative 2 right parenthesis over denominator negative 2 end fraction equals negative 1 A subscript 11 end subscript equals 0 comma A subscript 12 end subscript equals negative 1 comma A subscript 13 end subscript equals 0
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 A space a n d space B respectively are

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Light is incident normally in face AB of a prism as shown in figure A liquid of refractive index m is placed on face AC of the prism The prism is made of glass of refractive index 3/2 The limits of m for which total internal reflection takes place on face AC is

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physics-General
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An observer can see through a pin-hole the top end of a thin rod of height h, placed as shown in the figure The beaker height is 3h and its radius h When the beaker is filled with a liquid up to height 2h, he can see the lower end of the rod Then the refractive index of the liquid is

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physics-General