Home
Class 11
PHYSICS
Statement I: An object from a greater he...

Statement I: An object from a greater height reaches a steady terminal velocity.
Statement II: The viscous forces on a body depends upon its velocity. The greater the velocity the greater is the viscous force.

A

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

B

Statement I is true, Statement II is true and Statement II is NOT the correct explanation for Statement I.

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 analyze the given statements, we will break down the concepts of terminal velocity and viscous force step by step. ### Step 1: Understanding Terminal Velocity - **Definition**: Terminal velocity is the constant speed that a freely falling object eventually reaches when the resistance of the medium (like air or water) prevents further acceleration. - **Condition for Terminal Velocity**: This occurs when the downward force of gravity (weight of the object, mg) is balanced by the upward viscous force (Fv). ### Step 2: Analyzing Statement I - **Statement I**: "An object from a greater height reaches a steady terminal velocity." - When an object is dropped from a greater height, it has more time to accelerate until the viscous force equals the gravitational force. This means that it can reach terminal velocity before hitting the ground. - **Conclusion**: Statement I is true. ### Step 3: Understanding Viscous Force - **Definition**: Viscous force is the force exerted by a fluid on a body moving through it, which opposes the motion. - **Dependence on Velocity**: The viscous force increases with the velocity of the object. This is because the faster an object moves through a fluid, the greater the resistance it encounters. ### Step 4: Analyzing Statement II - **Statement II**: "The viscous forces on a body depend upon its velocity. The greater the velocity, the greater is the viscous force." - This statement aligns with the definition of viscous force, which states that it is dependent on the velocity of the object moving through the fluid. - **Conclusion**: Statement II is also true. ### Step 5: Relationship Between the Statements - Statement I discusses the condition under which an object reaches terminal velocity, while Statement II explains the nature of the forces involved in that condition. - Since Statement II provides a correct explanation for the behavior described in Statement I, we conclude that Statement I is true and Statement II is true, with Statement II being a correct explanation of Statement I. ### Final Conclusion Both statements are true, and Statement II correctly explains Statement I.

To analyze the given statements, we will break down the concepts of terminal velocity and viscous force step by step. ### Step 1: Understanding Terminal Velocity - **Definition**: Terminal velocity is the constant speed that a freely falling object eventually reaches when the resistance of the medium (like air or water) prevents further acceleration. - **Condition for Terminal Velocity**: This occurs when the downward force of gravity (weight of the object, mg) is balanced by the upward viscous force (Fv). ### Step 2: Analyzing Statement I - **Statement I**: "An object from a greater height reaches a steady terminal velocity." ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • PROPERTIES OF SOLIDS AND FLUIDS

    CENGAGE PHYSICS ENGLISH|Exercise Linked Comprehension|30 Videos
  • PROPERTIES OF SOLIDS AND FLUIDS

    CENGAGE PHYSICS ENGLISH|Exercise Integer|6 Videos
  • PROPERTIES OF SOLIDS AND FLUIDS

    CENGAGE PHYSICS ENGLISH|Exercise Multiple Correct|17 Videos
  • NEWTON'S LAWS OF MOTION 2

    CENGAGE PHYSICS ENGLISH|Exercise Integer type|1 Videos
  • RIGID BODY DYNAMICS 1

    CENGAGE PHYSICS ENGLISH|Exercise Integer|11 Videos