Home
Class 11
PHYSICS
Two, spring P and (Q) of force constants...

Two, spring P and _(Q) of force constants `K_(p)` and `k_(Q)(k_(Q)=(kp)/2)`are stretched by applying forces of equal magnitude. If the energy stored in` _(Q) ia E,` then the energy stored in P is

A

E

B

2E

C

E/8

D

E/2

Text Solution

Verified by Experts

The correct Answer is:
D
`U= (1)/(2) kx^(2) " as " F= - kx`
`F_(P)= F_(Q)`
`rArr k_(p) x_(p)= k_(Q) x_(Q) rArr x_(p)= (k_(Q) x_(Q))/(k_(p))`
`(U_(p))/(U_(Q)) = ((1)/(2) k_(P) (x_(P))^(2))/((1)/(2) k_(Q) (x_(Q))^(2))= (k_(P))/(k_(Q)) xx (k_(Q)^(2))/(k_(P)^(2))= (1)/(2)`
`rArr U_(P)= (U_(Q))/(2)= (E)/(2)`
Promotional Banner

Topper's Solved these Questions

  • ELASTICITY

    ERRORLESS|Exercise NCERT BASED QUESTIONS (Bulk Modulus)|11 Videos

  • ELASTICITY

    ERRORLESS|Exercise NCERT BASED QUESTIONS (Modulus of Rigidity)|16 Videos

  • ELASTICITY

    ERRORLESS|Exercise ASSERTION & REASON |10 Videos

  • BASIC MATHEMATICS AND VECTORS

    ERRORLESS|Exercise Assertion & Reason|15 Videos

  • FLUID MECHANICS

    ERRORLESS|Exercise ASSERTION AND REASON|23 Videos

Similar Questions

Explore conceptually related problems

Two springs A and B (k_(A)=2k_(B)) are stretched by applying forces of equal magnitudes at the four ends. If the energy stored in A is E, that in B is :

Two spreings A and B (k_A=2k_B) ar stretched by applying forces of equa magnitudes at the foru ends. If the energy stored in A is E, that in B is

There are two springs P and Q . Spring constant for P is K and that for Q is 3K . Both the springs are elongated by applying force of same magnitude . If U is energy stored in spring P then energy stores in spring Q is

Two springs have force constants k_(A) and k_(B) such that k_(B)=2k_(A) . The four ends of the springs are stretched by the same force. If energy stored in spring A is E , then energy stored in spring B is.

Two springs have their force constant as k_(1) and k_(2) (k_(1) gt k_(2)) . When they are stretched by the same force.

Two spring P and Q having stiffness constants k_1 and k_2(ltk_1) , respectively are stretched equally. Then