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JEE Main 202324 JanuaryEvening Shift
Exam
JEE Main
Year
2023
Date
24 January
Shift
Evening Shift
Subject
Physics
Chapter
Motion in One Dimension

JEE Main 2023 · 24 January · Evening Shift · Physics · Motion in One Dimension

The velocity-time graph of a body moving in a straight line is...

The velocity-time graph of a body moving in a straight line is shown in figure.

The velocity-time graph of a body moving in a straight line is shown in figure. The ratio of displacement and distance

The ratio of displacement and distance travelled by the body in time 00 to 10s10s is

Options

  1. A1:11: 1
  2. B1:21: 2
  3. C1:31: 3
  4. D1:41: 4

Correct answer

C. 1:31: 3

Step-by-step solution

The velocity-time graph of a body moving in a straight line is shown in figure. The ratio of displacement and distance

Area of upper rectangles, which will give us magnitude of the area under the velocity-time graph,

A1=8×2+4×4=32{A}_{1} = 8 \times 2 + 4 \times 4 = 32

Area of lower rectangles, which will give us magnitude of the area under the velocity-time graph,

A2=4×2+4×2=16{A}_{2} = 4 \times 2 + 4 \times 2 = 16

Therefore,

Displacement = {A}_{1} - {A}_{2} = 32 - 16 = 16Distance = {A}_{1} + {A}_{2} = 32 + 16 = 48</p><p>Hence,therequiredratiowouldbe</p><p></p><p>Hence, the required ratio would be</p><p>= \dfrac{16}{48} = \dfrac{1}{3}

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