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AIIMS 2011
Exam
AIIMS
Year
2011
Subject
Physics
Chapter
Motion in Two Dimensions

AIIMS 2011 · Physics · Motion in Two Dimensions

Given, ω =2 k and r =2 i +2 j . Find the linear velocity.

Given, ω⃗=2k^\vec{\omega}=2 \hat{k} and r⃗=2i^+2j^\vec{r}=2 \hat{i}+2 \hat{j}. Find the linear velocity.

Options

  1. A4i^+4j^4 \hat{i}+4 \hat{j}
  2. B4i^+4k^4 \hat{i}+4 \hat{k}
  3. C−4i^+4j^-4 \hat{i}+4 \hat{j}
  4. D−4i^−4j^-4 \hat{i}-4 \hat{j}

Correct answer

C. −4i^+4j^-4 \hat{i}+4 \hat{j}

Step-by-step solution

Here, ω=2k^r⃗=\omega=2 \hat{k} \vec{r}=2 \hat{i}+2 \hat{j} Linear velocity, v⃗=ω⃗×r⃗\vec{v}=\vec{\omega} \times \vec{r}=2k^×(2i^+2j^)=−4i^+4j^\begin{aligned} & =2 \hat{k} \times(2 \hat{i}+2 \hat{j}) \\ & =-4 \hat{i}+4 \hat{j} \end{aligned}$$
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