Classical Mechanics-Relativistic Kinematics (GATE Physics): Questions 1 - 4 of 7

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Question number: 1

» Classical Mechanics » Relativistic Kinematics

Appeared in Year: 2014

Short Answer Question▾

Write in Short

If the half – life of an elementary particle moving with speed 0.9c in the laboratory frame is 5×108s , then the proper half – life is ________ ×108s . (c=3×108ms)

Question number: 2

» Classical Mechanics » Relativistic Kinematics

Appeared in Year: 2016

Short Answer Question▾

Write in Short

The kinetic energy of a particle of rest mass m0 is equal to its mass energy. Its momentum in units of m0c , where c is the speed of light in vacuum, is _ . (Give your answer up to two decimal places)

Question number: 3

» Classical Mechanics » Relativistic Kinematics

Appeared in Year: 2015

MCQ▾

Question

In an inertial frame S , two events A and B take place at (ctA=0,rA=0) and (ctB=0,rB=2y^) , respectively. The times at which these events take place in a frame S moving with a velocity 0.6cy^ with respect to S are given by –

Choices

Choice (4) Response

a.

ctA=0;ctB=32

b.

ctA=0;ctB=0

c.

ctA=0;ctB=32

d.

ctA=0;ctB=12

Question number: 4

» Classical Mechanics » Relativistic Kinematics

Appeared in Year: 2014

MCQ▾

Question

A bead of mass m can slide without friction along a massless rod kept at 45° with the vertical as shown in the figure. The rod is rotating about the vertical axis with a constant angular speed ω . At any instant, r is the distance of the bead from the origin. The momentum conjugate to r is –

Ellipse c Ellipse c: Ellipse with foci F, G passing through HAngle? Angle? : Angle between E, D, JSegment f Segment f: Segment [I, J] Segment g Segment g: Segment [L, M] Vector u Vector u: Vector [D, E] Vector u Vector u: Vector [D, E] Vector u_1 Vector u_1: Vector [D_1, E_1] Vector u_1 Vector u_1: Vector [D_1, E_1] Vector v Vector v: Vector [N, O] Vector v Vector v: Vector [N, O] Vector w Vector w: Vector [P, Q] Vector w Vector w: Vector [P, Q] Point M Point M: Point on fPoint M Point M: Point on f45? text1 = “45? “? text1_1 = “? “/hat {z} text1_2 = “/hat {z} “/hat {z} text1_2 = “/hat {z} “m text1_3 = “m”r text1_4 = “r”/hat {x} text1_5 = “/hat {x} “/hat {x} text1_5 = “/hat {x} “

Motion of a Bead at 45 With Vertical

Figure shows that a bead of mass m can slide without friction along a massless rod kept at 45 with the vertical as shown in the figure.

Choices

Choice (4) Response

a.

12mr˙

b.

mr˙

c.

12mr˙

d.

2mr˙

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