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BITSAT 2010
Exam
BITSAT
Year
2010
Subject
Physics
Chapter
Mechanical Properties of Fluids

BITSAT 2010 · Physics · Mechanical Properties of Fluids

A spherical ball is dropped in a long column of a viscous liquid....

A spherical ball is dropped in a long column of a viscous liquid. The speed (v) of the ball as a function of time (t) may be best represented byA spherical ball is dropped in a long column of a viscous liquid. The speed (v) of the ball as a function of time (t)A spherical ball is dropped in a long column of a viscous liquid. The speed (v) of the ball as a function of time (t)A spherical ball is dropped in a long column of a viscous liquid. The speed (v) of the ball as a function of time (t)A spherical ball is dropped in a long column of a viscous liquid. The speed (v) of the ball as a function of time (t)

Options

  1. AWhat is the area bounded by the curve x + y = a (x, y ≥ 0) and the coordinate axes?
  2. BWhat is the area bounded by the curve x + y = a (x, y ≥ 0) and the coordinate axes?
  3. CWhat is the area bounded by the curve x + y = a (x, y ≥ 0) and the coordinate axes?
  4. DWhat is the area bounded by the curve x + y = a (x, y ≥ 0) and the coordinate axes?

Correct answer

B. What is the area bounded by the curve x + y = a (x, y ≥ 0) and the coordinate axes?

Step-by-step solution

When a spherical ball falls in a viscous liquid, viscous drag increases with speed. Initially acceleration is high, but drag force gradually balances weight. Hence, the ball approaches a constant terminal velocity asymptotically. The v-𝑡 curve starts steeply, then flattens out toward a constant value. Therefore, the correct representation is (2). ✅
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