Complete GATE PH 2019 Paper 1 overview, original pages and practice · Timed previous-paper practice

Questions 64–65 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 22 of 22

Question 54

Open question
PHNAT2 marksNeeds review
Two events, one on the earth and the other one on the Sun, occur simultaneously in the earth’s frame. The time difference between the two events as seen by an observer in a spaceship moving with velocity

in the earth’s frame along the line joining the earth to the Sun is

, where

is the speed of light. Given that light travels from the Sun to the earth in 8.3 minutes in the earth’s frame, the value of

in minutes (rounded off to two decimal places) is ______
(Take the earth’s frame to be inertial and neglect the relative motion between the earth and the sun)

Log in to check the answer

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Question 55

Open question
PHNAT2 marksNeeds review
In a certain two-dimensional lattice, the energy dispersion of the electrons is

where

denotes the wave vector,

is the lattice constant and

is a constant in units of eV. In this lattice the effective mass tensor

of electrons calculated at the center of the Brillouin zone has the form

. The value of

(rounded off to three decimal places) is ______

Log in to check the answer

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer