Question
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?
- The ray gets totally internally reflected at face CD
- The ray comes out through face AD
- The angle between the incident ray and the emergent ray is 900
- The angle between the incident ray and the emergent ray is 1200
The correct answer is: The ray gets totally internally reflected at face CD
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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.
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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.