Engineering
Physics
Straight Line Motion
Basics of Simple Harmonic Motion
BernoulIis Equation and Equation of Continuity
Question
Column I Column II
(A) Increases with increasing x-coordinate at t = 0

A fluid particle in a steady state laminar flow.

(B) Decreases with increasing x-coordinate at t = 0

A disc rolling on an incline, friction is sufficient for pure rolling.

(C) Increases with time

Particle is initially at the mean position.

(D) Decreases with time

Fluid particle in a steady state laminar flow from a tap.

 

A rod is released from rest from horizontal position. At t = 0 rod is vertical.

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Solution
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This question matches physical scenarios (Column I) with behaviors of a quantity (Column II). The key is identifying which quantity's rate of change or value fits each description.

For (A): In steady laminar flow, velocity increases with x-coordinate due to continuity equation: Av=constant, so as area decreases, velocity increases. Matches the first image.

For (B): A disc rolling down an incline has acceleration a=gsinθ1+Imr2, which is constant, so velocity increases linearly with time, not decreasing with x. Does not match any directly, but likely the rod image (decreasing angular velocity as it falls).

For (C): A particle at mean position in SHM has velocity v=Aωcos(ωt), which decreases from maximum at t=0. Matches the third image (velocity decreasing).

For (D): Fluid from a tap accelerates downward due to gravity, so velocity increases with time. Matches the fourth image.

The rod released from rest (vertical at t=0) has angular acceleration decreasing as it falls, so angular velocity increases but at a decreasing rate. Fits (B) decreasing with x (height).

Final answer: (A) matches first image, (B) matches fifth image (rod), (C) matches third image, (D) matches fourth image.