Home
Class 12
PHYSICS
When a rubber bandis streched by a dista...

When a rubber bandis streched by a distance `x` , if exerts resuring foprce of magnitube `F = ax + bx^(2)` where`a` and `b` are constant . The work in streached the unstreched rubber - band by `L` is

A

`aL^2+bL^3`

B

`1/2(aL^2+bL^3)`

C

`(aL^2)/(2)+(bL^3)/(3)`

D

`1/2((aL^2)/(2)+(bL^3)/(3))`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • ELASTICITY

    TARGET PUBLICATION|Exercise Evaluation test|14 Videos

  • ELASTICITY

    TARGET PUBLICATION|Exercise Critical Thinking|54 Videos

  • CURRENT ELECTRICITY

    TARGET PUBLICATION|Exercise Evaluation Test|6 Videos

  • ELECTROMAGNETIC INDUCTION

    TARGET PUBLICATION|Exercise EVALUATION TEST|8 Videos

Similar Questions

Explore conceptually related problems

When a rubber-band is stretched by a distance x, it exerts a restoring force of magnitude F = ax + bx^2 where a and b are constants. The work done in stretching the unstretched rubber band by L is :

Let f(x)=ax^(2)-b|x| , where a and b are constant . Then at x=0 , f(x) has

The relation between time t and distance x is t = ax^(2)+ bx where a and b are constants. The acceleration is

Let f(x) =ax^(2) -b|x| , where a and b are constants. Then at x = 0, f (x) is

Plot a graph for the equation y=ax-bx^(2) , where a and b are positive constants.

A body is subjected to a conservative force given by F=b-2ax where a and b are constant, then

If x^(2)-4 is a factor of 2x^(3)+ax^(2)+bx+12 where a and b are constant.then the value of a and b are:

Form the differential equation for the curve: y=Ax^2+Bx , where a and b are arbitrary constant.

The function f(x)=x^(2)+bx+c , where b and c are real constants, describes

A force F=a+bx acts on a particle in x-direction, where a and b are constants. Find the work done by this force during the displacement from x_1 to x_2 .

TARGET PUBLICATION-ELASTICITY-Competitive Thinking
  1. The increase in energy of a metal bar of length L and cross-sectional ...

    Text Solution

    |

  2. A stretching wire has a Young's modulus Y and energy density E. The st...

    Text Solution

    |

  3. When a long spring is stretched by 2cm, its potential energy is U. If ...

    Text Solution

    |

  4. Energy density of wire is 0.25 J//m^(3), when its extension is 0.2 cm....

    Text Solution

    |

  5. The energy stored per unit volume in copper wire, which produces longi...

    Text Solution

    |

  6. When a rubber bandis streched by a distance x , if exerts resuring fop...

    Text Solution

    |

  7. Two, spring P and (Q) of force constants K(p) and k(Q)(k(Q)=(kp)/2)are...

    Text Solution

    |

  8. Two wires having same length and material are stretched by same force....

    Text Solution

    |

  9. Coefficient of linear expansion of brass and steel rods are alpha(1) a...

    Text Solution

    |

  10. A string of length L and force constant k is stretched to obtain exten...

    Text Solution

    |

  11. A metal rod of length l, cross-sectional area A, Young's modulus Y and...

    Text Solution

    |

  12. A metal rod of length 'L' and cross-sectional area 'A' is heated ...

    Text Solution

    |

  13. An external pressure P is applied on a cube at 0^(@)C so that it is eq...

    Text Solution

    |

  14. A lift of mass 'm' is connected to a rope which is moving upward w...

    Text Solution

    |

  15. One end of a horizontal thick copper wire of length 2L and radius 2R i...

    Text Solution

    |

  16. A thick rope of density rho and length L is hung from a rigid support....

    Text Solution

    |

  17. A wire elongates by l mm when a load W is hanged from it. If the wire ...

    Text Solution

    |

  18. A pendulumd made of a uniform wire of cross sectional area (A) has tim...

    Text Solution

    |

  19. Two rods of different materials having coefficients of thermal expansi...

    Text Solution

    |

  20. The stress along the length of a rod with rectangular cross section) i...

    Text Solution

    |