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MHT CET · Physics · Rotational Motion

If \(\vec{F}=(5 \hat{i}-10 \hat{j})\) and \(\vec{r}=(4 \hat{i}-3 \hat{j})\), then the torque acting on the object will be

  1. A \(\hat{\mathrm{i}}-2 \hat{\mathrm{j}}\)
  2. B \(2 \hat{\mathrm{i}}-\hat{\mathrm{j}}\)
  3. C \(25 \hat{\mathrm{k}}\)
  4. D \(-25 \hat{\mathrm{k}}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(-25 \hat{\mathrm{k}}\)

Step-by-step Solution

Detailed explanation

\(\vec{\tau} = \vec{r} \times \vec{F}\) \(\vec{\tau} = (4 \hat{i}-3 \hat{j}) \times (5 \hat{i}-10 \hat{j})\)
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