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Q. No.
A batsman takes the first run by moving from \(A\) to \(B\) and then goes for the second run. When he reaches \(20~\text{yards}\) from \(B\) to \(D\) (see figure), he was run out. The net displacement of the batsman is:

1. \(2\) yards
2. \(20\) yards
3. \(22\) yards
4. \(42\) yards
Subtopic:  Distance & Displacement |
 89%
Level 1: 80%+
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Assertion: The displacement of a moving body may be zero, though its distance can be finite.
Reason: If the body moves such that it finally arrives at the initial point, then the displacement is zero while the distance is finite.

1.  Both Assertion & Reason are true and the Reason is the correct explanation of the Assertion.
2.  Both Assertion & Reason are true but the Reason is not the correct explanation of the Assertion.
3.  Assertion is a true statement but Reason is false.
4.  Both Assertion and Reason are false statements.

  1. If both the assertion and the reason are true and the reason is a correct explanation of the assertion
  2. If both the assertion and reason are true but the reason is not a correct explanation of the assertion
  3. If the assertion is true but the reason is false
  4. If both the assertion and reason are false
Subtopic:  Distance & Displacement |
 86%
Level 1: 80%+
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Given below are two statements: 
Assertion (A): Displacement of a body may be zero, when distance travelled by it is not zero.
Reason (R): The displacement is the longest distance between initial and final position.
 
1. Both (A) and (R) are True and (R) is the correct explanation of (A).
2. Both (A) and (R) are True but (R) is not the correct explanation of (A).
3. (A) is True but (R) is False.
4. Both (A) and (R) are False.
Subtopic:  Distance & Displacement |
 85%
Level 1: 80%+

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An automobile moving at a speed of \(40~\text{km/hr} \) can be brought to rest by applying brakes over a distance of \(40 ~\text{m}.\) If the automobile were instead moving at \(80~\text{km/h},\) what would be its minimum stopping distance (assuming the braking force remains the same and no skidding occurs)?
1. \(150~\text{m}\)
2. \(100~\text{m}\)
3. \(75~\text{m}\)
4. \(160~\text{m}\)
Subtopic:  Distance & Displacement |
 84%
Level 1: 80%+
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The numerical ratio of displacement to the distance covered is always:

1. less than one
2. equal to one
3. equal to or less than one
4. equal to or greater than one
Subtopic:  Distance & Displacement |
 83%
Level 1: 80%+
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Given below are two statements: 
Assertion (A): Displacement of a body may be zero when distance travelled by it is not zero.
Reason (R): The displacement is the longest distance between initial and final position.
1. Both (A) and (R) are True and (R) is the correct explanation of (A).
2. Both (A) and (R) are True but (R) is not the correct explanation of (A).
3. (A) is True but (R) is False.
4. Both (A) and (R) are False.
Subtopic:  Distance & Displacement |
 82%
Level 1: 80%+

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The initial and final positions of a man on the \(x\text-\)axis are given for the following three cases:

(i) \((-4~\text m, 6~\text m)\)
(ii) \((4~\text m,-3~\text m)\)
(iii) \((-4~\text m, 2~\text m)\)


Which of these cases represent a negative displacement?
1. (i)
2. (ii)
3. (iii)
4. (i) and (iii)

Subtopic:  Distance & Displacement |
 78%
Level 2: 60%+
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