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Nilanjan Bhowmick AIR 3, CSIR NET (Earth Science)
- IIT JAM
- Physics (PH)
Ol. you are given the following transformation of the coordinates (.) ofa point in the rwo- dimensional plane: which of the following statements describes the t
ol. You are given the following transformation of the coordinates (.) ofa point in the rwo- dimensional plane: which of the following statements describes the transformation? (a Rotation by an angle of 45 about the z-axis follovwed by translation by one unit along and y coordinates by a factor of 2 and y coordinates by a factor of N2 (d) Only a rotation by an angle of 45° about the z-axi both x and y axis (b) Rotation by an angle of 45° about the z-axis followed by an expansion of both (c) Translation by one unit along both x and y axes followed by an expansion of both the
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Ruby negi Best Answer
T is a transformation matrix when (x,y) coordinates rotate about z- axis. so when theta is 45° degree, all the components of matrix is 1/√2 with T12 component has minus sign also. then on expansion of x,y by √2 ,we get desired result.