GATE PH 2019 Paper 1 — page 19

Questions 55–57 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 19 of 22

A projectile of mass 1 kg is launched at an angle of 30° from the horizontal direction at

and takes time

before hitting the ground. If its initial speed is 10 ms

, the value of the action integral for the entire flight in the units of kg m

(rounded off to one decimal place) is [Take

]

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Let

be a variable in the range

. Now consider a function

If its Fourier-series is written as

, then the value of

(rounded off to three decimal places) is

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Two spaceships A and B, each of the same rest length

, are moving in the same direction with speeds

and

, respectively, where

is the speed of light. As measured by B, the time taken by A to completely overtake B [see figure below]

in units of

(to the nearest integer) is

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2019 · Paper 1