Home
Class 11
PHYSICS
Statement I: The displacement of a body ...

Statement I: The displacement of a body may be zero, though its distance can be finite.
Statement II: If the bodt moves such that finally it arrives at the initial point, then displacement is zero while distance is finite.

A

Statement I is true, Statement II is true, Statement II is a correct explanation for Statement I.

B

Statemnt I is true, Statement II is true, Statement II is true, Statement II is false.

C

Statement I is true, Statement II is false.

D

Statement I is false, Statement II is true.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze both statements provided. ### Step 1: Understanding Displacement and Distance - **Displacement** is defined as the shortest distance from the initial position to the final position of an object, along with the direction. It can be zero if the initial and final positions are the same. - **Distance**, on the other hand, is the total path length traveled by the object, irrespective of the direction. It is always a positive value. ### Step 2: Analyzing Statement I - **Statement I**: "The displacement of a body may be zero, though its distance can be finite." - This statement is true. For example, if an object moves in a circular path and returns to its starting point, the displacement is zero (since the initial and final positions are the same), but the distance traveled is the length of the circular path, which is a finite value. ### Step 3: Analyzing Statement II - **Statement II**: "If the body moves such that it finally arrives at the initial point, then displacement is zero while distance is finite." - This statement is also true. As explained in the previous step, if an object returns to its starting point after moving along a certain path, the displacement will be zero, while the distance will be the total length of the path taken, which is finite. ### Conclusion Both statements are true, and Statement II provides a correct explanation for Statement I. ### Final Answer - Both Statement I and Statement II are true. ---

To solve the question, we need to analyze both statements provided. ### Step 1: Understanding Displacement and Distance - **Displacement** is defined as the shortest distance from the initial position to the final position of an object, along with the direction. It can be zero if the initial and final positions are the same. - **Distance**, on the other hand, is the total path length traveled by the object, irrespective of the direction. It is always a positive value. ### Step 2: Analyzing Statement I - **Statement I**: "The displacement of a body may be zero, though its distance can be finite." ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • KINEMATICS-1

    CENGAGE PHYSICS ENGLISH|Exercise Linked Comprehension|30 Videos
  • KINEMATICS-1

    CENGAGE PHYSICS ENGLISH|Exercise Integer|9 Videos
  • KINEMATICS-1

    CENGAGE PHYSICS ENGLISH|Exercise Multiple Correct|16 Videos
  • GRAVITATION

    CENGAGE PHYSICS ENGLISH|Exercise INTEGER_TYPE|1 Videos
  • KINEMATICS-2

    CENGAGE PHYSICS ENGLISH|Exercise Exercise Integer|9 Videos

Similar Questions

Explore conceptually related problems

Give reason for the following. Displacement can become zero, but distance cannot

Statement-I : The speed of a body can be negative. Statement-II : If the body is moving in the opposite direction of positive motion, then its speed is negative.

Knowledge Check

  • Which of the following statements is incorrect? a) Displacement is independent of the choice of origin of the axis. b) Displacement may or may not be equal to the distance travelled. c) When a particle returns to its starting point, its displacement is not zero. d) Displacement does not tell the nature of the actual motion of a particle between the points.

    A
    Displacement is independent of the choice of origin of the axis.
    B
    Displacement may or may not be equal to the distance travelled.
    C
    When a particle returns to its starting point, its displacement is not zero.
    D
    Displacement does not tell the nature of the actual motion of a particle between the points.
  • Similar Questions

    Explore conceptually related problems

    Assertion: Displacement of a body may be zero when distance travelled by it is not zero. Reason: The displacement is the longest distance between initial and final position.

    If the displacement of a body is zero is the distance covered by it necessarily zero ? Explain with suitable illustration.

    If the displacement of a body is zero is the distance covered by it necessarily zero ? Explain with suitable illustration.

    Give the name of the points in a stationary wave at which (i) velocity is zero (ii) displacement is zero and (iii) strain is maximum.

    Statement I: The average velocity of the body may be equal to its instantaneous velocity. Statement II: For a given time interval of a given motion, average veocity is single valued while average speed can have many values.

    Statement I: Distance and displacement are different physical quantities. Statement II : Distance and displacement have same dismension.

    Assertion: Distance is a actual length of the path but displacement is a shortest distance between initial and final position. Reason: Distance is a scalar quantity and it is always positive but displacement is a vector quantity. It may be positive, negative or zero.