Complete GATE PH 2017 Paper 1 overview, original pages and practice · Timed previous-paper practice

Questions 40–42 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 14 of 22

Question 40

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PHMCQ2 marksNeeds review
Let

be a column vector of dimension

with at least one non-zero entry. The number of non-zero eigenvalues of the matrix

is
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Question 41

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PHMCQ2 marksNeeds review

for the ground state of the

nucleus is
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Question 42

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PHNAT2 marksNeeds review
A uniform solid cylinder is released on a horizontal surface with speed 5 m/s without any rotation (slipping without rolling). The cylinder eventually starts rolling without slipping. If the mass and radius of the cylinder are 10 gm and 1 cm respectively, the final linear velocity of the cylinder is ________ m/s. (up to two decimal places).

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