GATE PH 2021 Paper 1 — page 10

Questions 28–30 of 65. Imported answers require review unless explicitly marked reviewed.

Two observers

and

observe two events

and

. The observers have a constant relative speed of 0.5c. In the units, where the speed of light, c, is taken as unity, the observer

obtained the following coordinates:

Event

The length of the space-time interval between these two events, as measured by

, is

. The value of

(in integer) is ______.

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A light source having its intensity peak at the wavelength 289.8 nm is calibrated as 10,000 K which is the temperature of an equivalent black body radiation. Considering the same calibration, the temperature of light source (in K) having its intensity peak at the wavelength 579.6 nm (rounded off to the nearest integer) is ______.

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A hoop of mass

and radius

rolls without slipping along a straight line on a horizontal surface as shown in the figure. A point mass

slides without friction along the inner surface of the hoop, performing small oscillations about the mean position. The number of degrees of freedom of the system (in integer) is _____.

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2021 · Paper 1

Question 18

Question 19

Question 20