Complete GATE PH 2026 Paper 1 overview, original pages and practice · Timed previous-paper practice

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

Paper practice 65 questionsPage 19 of 22

Question 55

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A symmetric rigid body has moment of inertia

about its principal axes 1, 2, and 3, respectively, with

and

. It is rotating in space with no torque on it so that its angular momentum

is constant. Let

be the components of its angular velocity along the principal axes 1, 2, and 3, respectively. Which of the following quantities is/are constant during the motion of this rigid body?
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Question 56

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An

particle moves towards a fixed nucleus carrying charge

, with initial speed

and impact parameter

. Starting from a large distance from the nucleus, its distance of closest approach is

and its speed there is

. Then which of the following options is/are correct? (

and

)
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Question 57

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PHNAT2 marksNeeds review
Consider a particle of mass

kg and charge

C in a uniform electromagnetic field

,

. The particle is released from the coordinates

at time

. Starting from initial speed zero, it comes back to the

-axis for the first time at time

. The value of

in seconds (rounded off to two decimal places) is ____

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