Complete GATE IN 2022 Paper 1 overview, original pages and practice · Timed previous-paper practice

Questions 49–51 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 17 of 22

Question 49

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INMSQ2 marksNeeds review
The matrix

has eigenvalues

and 7. The eigenvector(s) is/are ______
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Question 50

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For the complex number

, where

and

. Which of the following statement(s) is/are true?
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Question 51

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Monochromatic light of wavelength 532 nm is used to measure the absorption coefficient of a material in a UV-Visible Spectrophotometer. The measured light intensity after transmission through a 1 cm thick sample of the material is 0.414 mW/cm

. For a sample of thickness 2 cm, the measured light intensity is 0.186 mW/cm

. The absorption coefficient (in cm

) of the material is ______ (round off to two decimal places)

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