Home
Class 12
PHYSICS
Two thin films of same liquid of surface...

Two thin films of same liquid of surface tension 'T' are formed between a smooth rectangular wire frame and two thin uniform strainght wires each of mass 'm' and length 'I' connected to a massless non-deformed spring of stiffness 'k' and then the system is released form rest. The maximum elongation produced in the spring is

A

`(2Tl)/(K)`

B

`(4Tl)/(K)`

C

`(6Tl)/(K)`

D

`(8Tl)/(K)`

Text Solution

Verified by Experts

The correct Answer is:
B
Force of surface tension on each wire is `F = 2Tl`
`(md^(2)x)/(dt^(2)) = F - 2Kx`
`= -2K (x - (F)/(2K))`
`(d^(2)x)/(dt^(2)) = - (2k)/(m) (x - (F)/(2k))`
`therefore` Amplitude of SHM.
`A = (F)/(2k) = (2Tl)/(2k) = (Tl)/(k)`
`therefore` Maximum elongation produced in the spring is
`Deltal_(max) = 4A = (4Tl)/(k)`
Promotional Banner

Similar Questions

Explore conceptually related problems

In an ideal pulley particle system, mass m_2 is connected with a vertical spring of stiffness k . If mass m_2 is released from rest, when the spring is underformed, find the maximum compression of the spring.

In the adjoining figure, block A is of mass (m) and block B is of mass2 m. The spring has force constant k. All the surfaces are smooth and the system is released form rest with spring unstretched. .

A body of mass m hangs by an inextensible string that passes over a smooth mass less pulley that is fitted with a light spring of stiffness k as shown in figure. If the body is released from rest and the spring is released, calculate the maximum elongation of the spring.

Two blocks of masses m_(1) and m_(2) are connected by a massless spring and placed on smooth surface. The spring initially stretched and released. Then :

Two beads of mass 2m and m , connected by a rod of length l and of negligible mass are free to move in a smooth vertical circular wire frame of radius l as shown. Initially the system is held in horizontal position ( Refer figure ) If the rod is replaced by a massless string of length l and the system is released when the string is horizontal then :

A thin film of liquid is formed in a rectangular frame of wire and a light slider supports a weight of (2.5 * 10^-2)N .The length of slider is 20cm and its weight negligible. The surface tension is liquid is

A block of mass m fitted with a light spring of stiffness k and natural length l_(0) kept on a smooth radial groove made on a disc rotaing with a constant angular axis . If the block is released slowly . Find the maximum elongation of the spring

The plates each of area A of a parallel plate caoacitor are given charges Q and -Q . The plates are joined by a non-conducting spring of force constant k . The natural length of the spring is d , the inital separation between the plates. The left plate is connected to a vertical wall through a massless non-conducting rope and the right plate is connected to a block of mass m through similar rope. Assume the pulley to be massless, neglect dielectric effect of the spring and Q^(2) lt 2mAepsilon_(0)g . If the block is released from rest, the maximum elongation of the string is

Two blocks of masses m_(1) = 2kg and m_(2) = 4kg are attached to two ends of a light ideal spring of force constant k = 1000 N // m. The system is kept on a smooth inclined plane inclined at 30^(@) with horizontal. The block m_(2) is attached to a light string whose other end is connected to a mass m_(3) = 1 kg . A force F = 15N is applied on m_(1) and the system is released from rest. Assume initially the spring is at relaxed position and the system is released from rest. Find the (a) maximum extension of the spring. (

The surface tension of a thin liquid film formed between a U shaped wire and a light slider of length 30 cm supporing a weight of 1.5xx10^(-2)N is