Tag: hooke's law

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Questions Related to hooke's law

Multiple choice physics hooke's law

Assertion (A): Steel is more elastic than rubber.
Reason (R) : Under a given deforming force, steel is deformed less than rubber.


A) Both Assertion and Reason are true and the reason is correct explanation of the assertion
B)Both Assertion and Reason are true, but reason is not correct explanation of the assertion
C) Assertion is true, but the reason is false
D) Assertion is false, but the reason is true

  1. A

  2. B

  3. C

  4. D
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

More elastic the material, higher the Young's Modulus.
Young's Modulus of Steel = 200 GPa
Young's Modulus of Rubber = 0.01-0.1 GPa
Young's Modulus of Steel is much higher than Rubber, So steel is more elastic than rubber.

Y = FL/Al
Y - Young's Modulus
L - Actual Length
A - Cross Section Area
l - Elongation

l = FL/AY
keeping F,L,A constant 
l is inversely proportional to Y
Hence, Higher the Young's Modulus lesser the deformation (for Different Materials)

Multiple choice physics hooke's law

Change in the shape of a body caused by the application of a force (stress) is called as :

  1. ductility

  2. deformation

  3. hardness

  4. rigidity
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

If a force on a body changes the normal positions of the molecules of a body, resulting in a change in the configuration of the body, then the force applied is called deforming force and change in shape of the body is called deformation. 

Multiple choice physics hooke's law

Change in shape of a body caused by the application of stress is called:

  1. rigidity

  2. elasticity

  3. sheer

  4. deformation
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Deformation of a body is the change in shape of a body caused by the application of stress. According to the Hooke's law, the deformation caused in an elastic material is directly proportional to the stress applied to it.

Multiple choice physics hooke's law

State whether true or false :
While loading the crane with heavy bodies, it is given rest from time to time.

  1. True

  2. False
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Cranes and other heavy machinery need to be rested to prevent overheating and mechanical fatigue, making the statement true.

Multiple choice physics hooke's law

State whether true or false :
The property of an elastic body by virtue of which its behaviour becomes less elastic under the action of repeated alternating deforming force is called elastic fatigue

  1. True

  2. False
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Elastic fatigue is defined as the temporary loss of elastic properties of a material by applying repeated force on the material. If there is no sufficient time between repeated force application, then a permanent deformation remain there in each time of applying force.

Multiple choice physics hooke's law

If stress-strain relation for volumetric change is in the form $\cfrac { \Delta V }{ { V } _{ 0 } } =KP$ where $P$ is applied uniform pressure, then $K$ stands for

  1. shear modulus

  2. compressibility

  3. Young's modulus

  4. bulk modulus
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Bulk modulus $=\cfrac { P }{ \Delta V/V } $
Compressibility$=\cfrac { 1 }{ Bulk\quad modulus } =\cfrac { \Delta V/V }{ P } =K\quad \quad $(Compressibility)

Multiple choice physics hooke's law

 Time dependent permanent deformation is called

  1. Plastic deformation

  2. Elastic deformation

  3. Creep

  4. Anelastic deformation
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Creep is a situation in which a component experiences deformation with time as it is put into use. Best example to illustrate this is that electrical cables are taught(tight) when they are installed but after some time they experience sagging due to self weight.

The correct option is option (c)

Multiple choice physics hooke's law

One end of a uniform wire of length L and of weight W is attached rigidly to a point in the roof and a weight W1 is suspended from its lower end. of S is true area of cross section of the wire, the stress in the wire at a height (3L/4) from its lower end is:

  1. [W1 + (W/4)]/S

  2. W1/S

  3. [W1 + (3W/4)]/S

  4. (W1 + W)/S
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The stress at any point is the force acting on the cross-section divided by the area S. At a height 3L/4 from the bottom, the weight supported is the suspended weight W1 plus the weight of the wire segment below that point, which is (3/4)W. Thus, the total force is W1 + (3/4)W, and stress is (W1 + 3W/4)/S.

Multiple choice physics hooke's law

When a steel rod of length 2m is compressed its length decreases by 0.1m. Find the work done against the compressive stress.$\left( { Y } _{ steel }=2.0\times { 10 }^{ 11 }{ Nm }^{ -2 } \right) $

  1. $2.5\times { 10 }^{ 11 } J $

  2. $1.25\times { 10 }^{ 11 } J $

  3. $5.0\times { 10 }^{ 11 } J $

  4. $7.5\times { 10 }^{ 4 } J $
Reveal answer Fill a bubble to check yourself
A Correct answer
Multiple choice physics hooke's law

Four wires of the same material are stretched by the same load. The dimension are given below.Which of them will elongate the most?

  1. ${\text{Length}}\;100{\text{cm}},{\text{diameter}}\;1{\text{mm}}$

  2. ${\text{Length}}\;200{\text{cm}},{\text{diameter}}\;2{\text{mm}}$

  3. ${\text{Length}}\;300{\text{cm}},{\text{diameter}}\;3{\text{mm}}$

  4. ${\text{Length}}\;400{\text{cm}},{\text{diameter}}\;0.5{\text{mm}}$
Reveal answer Fill a bubble to check yourself
C Correct answer