The length of a metal wire is l(1) when ...

The length of a metal wire is `l_(1)` when the tension in it is `T_(1)` and is `l_(2)` when the tension is `T_(2)`. Then natural length of the wire is

A

`((l_(1)+l_(2)))/2`

B

`sqrt(l_(1)l_(2))`

C

`((l_(1)T_(2)-T_(2)l_(1)))/(T_(2)-T_(1))`

D

`((l_(1)T_(2)+T_(2)l_(1)))/(T_(2)+T_(1))`

Text Solution

Verified by Experts

The correct Answer is:

C

Topper's Solved these Questions

ELASTICITY AND WAVES
FIITJEE|Exercise Assignment Problems (Objective) Level-II|15 Videos
ELASTICITY AND WAVES
FIITJEE|Exercise Assignment Problems (Subjective) Level-II & III|15 Videos
CURRENT ELECTRICITY
FIITJEE|Exercise Comprehension -4|3 Videos
ELECTROMAGNETIC INDUCTION
FIITJEE|Exercise EXERCISE|9 Videos

Similar Questions

Explore conceptually related problems

The length of a metal wire is l_(1) when the tension in it is F_(1) and l_(2) when the tension becomes F_(2) . Find the natural length of wire.

The length of a metal wire is l_1 when the tensionin it is T_1 and is l_2 when the tension is T_2 . The natural length of the wire is

The length of a steel wire is l_(1) when the stretching force is T_(1) and l_(2) when the stretching force is T_(2) . The natural length of the wire is

The length of a metal wire is 10cm when the tension in it is 20N and 12cm when the tension is 40N . Then natural length of the wire is in cm

The length of a metal wire is l when the tension is F and x l when the tension si y F. Then the natural length of the wire is

When the tension in a metal wire is T_(1) , its length is I_(1) . When the tension is T_(2) , its length is I_(2) . The natural length of wire is

The length of a rubber cord is l_(1) m when the tension is 4 N and l_(2) m when the tension is 6 N.The length when the tension is 9 N, is

The length of a wire l_(1) when tension is 4 N and l_(2) when the tension is 5 N. Then its original length would be

The length of wire, when M_(1) is hung from it, is l_(1) and is l_(2) with both M_(1) and M_(2) hanging. The natural length of wire is :-

FIITJEE-ELASTICITY AND WAVES -Assignment Problems (Objective) Level-I

A spherical ball contracts in volume by 0.01% when subjected to a norm...
Text Solution
|
If a gas is heated at constant pressure, its isothermal compressibilit...
Text Solution
|
A beam of metal supported at the two edges is loaded at the centre. Th...
Text Solution
|
When metal wire is stretched by a load the fectional change in its vol...
Text Solution
|
The length of a metal wire is l(1) when the tension in it is T(1) and ...
Text Solution
|
A uniform pressure P is exerted on all sides of a solid cube at temper...
Text Solution
|
A steel wire is suspended vertically from a rigid support. When loaded...
Text Solution
|
A metal rod of length l, cross-sectional area A, Young's modulus Y and...
Text Solution
|
The Young's modulus of brass and steel are respectively 1.0xx10^(11)N/...
Text Solution
|
A wire of uniform cross-sectional area A and young's modulus Y is stre...
Text Solution
|
Inside a gas, sound transmission is possible for
Text Solution
|
One end of a uniform wire of length L and weight W is attached rigidly...
Text Solution
|
The displacement y of a particle executing periodic motion is given by...
Text Solution
|
A given quantity of a ideal gas is at pressure P and absolute tempera...
Text Solution
|
One end of a long mettalic wire of length L is tied to the ceiling. T...
Text Solution
|
Waves traveling in same medium having equations: y(1)=Asin(lamdat-beta...
Text Solution
|
A sonometer wire resonates with a given tuning fork forming a standing...
Text Solution
|
The ratio of the speed of sound in nitrogen gas to that in helium gas,...
Text Solution
|
Statement-1: Speed of sound is maximum in solids and minimum in gases....
Text Solution
|
Assertion : To hear distinct be beats, difference in frequencies of tw...
Text Solution
|