Question
Two thin convex lenses of focal lengths f1 and f2 are separated by a horizontal distance d
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 :
![](data:image/png;base64,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)
The correct answer is: ![x equals fraction numerator f subscript 1 end subscript f subscript 2 end subscript plus d open parentheses f subscript 1 end subscript minus d close parentheses over denominator f subscript 1 end subscript plus f subscript 2 end subscript minus d end fraction comma y equals fraction numerator capital delta open parentheses f subscript 1 end subscript minus d close parentheses over denominator f subscript 1 end subscript plus f subscript 2 end subscript minus d end fraction](data:image/png;base64,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)
Related Questions to study
For a convex lens, if real image is formed the graph between (u + v) andu or v is as follows
For a convex lens, if real image is formed the graph between (u + v) andu or v is as follows
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
, which of the following is (are) correct?
![](data:image/png;base64,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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
, which of the following is (are) correct?
![](data:image/png;base64,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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–
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–
Which of the following statements is not correct?
Which of the following statements is not correct?
If
then adj A
If
then adj A
Which of the following is not true
Which of the following is not true
Which one of the following statements is true
Which one of the following statements is true
The inverse of
is
The inverse of
is
The inverse of matrix
is
A real number multiplicative inverse is the number that, when multiplied by the original number, produces 1 (the identity). Because a× 1/a= 1 is the multiplicative inverse of a. When the inverse of a matrix is multiplied by a given matrix, it produces a multiplicative identity. For example, the inverse of a matrix A is A-1 and A.A-1=A-1.A=I, where I is the identity matrix.
A square matrix with one on the diagonal and zeros everywhere else is known as an identity matrix. Think of the identity matrix as the matrix's prime number.
An invertible matrix is one for which it is possible to calculate the inverse matrix and for which the determinant is not zero.
The inverse of matrix
is
A real number multiplicative inverse is the number that, when multiplied by the original number, produces 1 (the identity). Because a× 1/a= 1 is the multiplicative inverse of a. When the inverse of a matrix is multiplied by a given matrix, it produces a multiplicative identity. For example, the inverse of a matrix A is A-1 and A.A-1=A-1.A=I, where I is the identity matrix.
A square matrix with one on the diagonal and zeros everywhere else is known as an identity matrix. Think of the identity matrix as the matrix's prime number.
An invertible matrix is one for which it is possible to calculate the inverse matrix and for which the determinant is not zero.