362252
A body is moving along the circumference of a circle of radius ‘\(R\)’ and completes half of the revolution. Then the ratio of its displacement to distance is
1 \(\pi :2\)
2 \(2:1\)
3 \(2:\pi \)
4 \(1:2\)
Explanation:
The distance travelled is \(\pi R\) The displacement is \(2R\) \(\frac{{{\rm{Displacement}}}}{{{\rm{Distance}}}} = \frac{2}{\pi }\)
PHXI03:MOTION IN A STRAIGHT LINE
362253
Assertion : Displacement of a body is vector sum of the area under velocity-time graph. Reason : Displacement is a vector quantity.
1 Both assertion and reason are correct and reason is the correct explanation of assertion
2 Both assertion and reason are correct but reason is not the correct explanation of assertion
3 Assertion is correct but reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
Displacement = velocity \( \times \) time. Displacement is a equal to the sum of the area under velocity-time graph. So option (1) is correct.
362252
A body is moving along the circumference of a circle of radius ‘\(R\)’ and completes half of the revolution. Then the ratio of its displacement to distance is
1 \(\pi :2\)
2 \(2:1\)
3 \(2:\pi \)
4 \(1:2\)
Explanation:
The distance travelled is \(\pi R\) The displacement is \(2R\) \(\frac{{{\rm{Displacement}}}}{{{\rm{Distance}}}} = \frac{2}{\pi }\)
PHXI03:MOTION IN A STRAIGHT LINE
362253
Assertion : Displacement of a body is vector sum of the area under velocity-time graph. Reason : Displacement is a vector quantity.
1 Both assertion and reason are correct and reason is the correct explanation of assertion
2 Both assertion and reason are correct but reason is not the correct explanation of assertion
3 Assertion is correct but reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
Displacement = velocity \( \times \) time. Displacement is a equal to the sum of the area under velocity-time graph. So option (1) is correct.