Home
Class 12
PHYSICS
The force constant of a wire is K and th...

The force constant of a wire is K and that of another wire of the same material is 2K. When both the wires are stretched by the same force, then the relation between the works done in the two cases is

A

`W_(2) = W_(1)`

B

`W_(2) = 0.5 W_(1)`

C

`W_(2) = 2W_(1)`

D

`W_(2) = 2W_(1)^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
`x_(1) = (F)/(K) , x_(2) = (F)/(2K) :. x_(2) = (x_(1))/(2)`
`because W_(1) = Fx_(1) and W_(2) = Fx_(2) :. W_(2) = 0.5 W_(1)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • ELASTICITY

    MARVEL PUBLICATION|Exercise Test Your Grasp - 5|15 Videos

  • CURRENT ELECTRICITY

    MARVEL PUBLICATION|Exercise MCQ|151 Videos

  • ELECTROMAGNETIC INDUCTION AND ALTERNATING CURRENTS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP - 16|30 Videos

Similar Questions

Explore conceptually related problems

The ratio of radii of two wires of same material is 2 : 1 . If these wires are stretched by equal forces, then the ratio of stresses produced in them will be

Two wires of the same material and length are stretched by the same force. Their masses are in the ratio 3:2 . Their elongations are in the ratio

Knowledge Check

  • The force constant of a wire is k and that of another wire is . 2k When both the wires are stretched through same distance, then the work done

    A
    `W_(2)=2W_(1)^(2)`
    B
    `W_(2)=2W_(1)`
    C
    `W_(2)=W_(1)`
    D
    `W_(2)=0.5W_(1)`

  • Two wires of the same material and same mass are stretched by the same force. Their lengths are in the ratio

    A
    `3:2`
    B
    `2:3`
    C
    `4:9`
    D
    `9:4`

  • The ratio of radii of two wires of same material is 2 : 1. If they are stretched by the same force, the ratio of their stress is

    A
    `2 : 1`
    B
    `1 : 2`
    C
    `1 : 4`
    D
    `4 : 1`

    • Similar Questions

    Explore conceptually related problems

    Two wires of same material and area of cross section but with lengths in the ratio 5:3 are strechted by the same force. The ratio of work done in two cases is

    The ratio of the lengths of the two wires of same Young's modulus and same diameter is 5:3 . They are stretched by the same force. Then the ratio of the work done on the two wires to stretch is

    A uniform wire of length 4m and area of cross section but with lengths in the ratio 5:3 are strechted by the same force. The ratio of work done in two cases is

    Two wire of same material and same diameter have lengths in the ratio 2 : 5. They are stretched by same force. The ratio of work done in stretching them is

    Two wires of same material and length are stretched by the same force. If the ratio of radii of the two wires in n:1 then the ratio of their elongation is

    Home
    Profile