Home
Class 12
PHYSICS
The length of a steel wire is l(1) when ...

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

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
`T_(1)=k(l_(1)-l_(0))`
`T_(2)=k_(l_(2)-l_(0))`
`impliesl_(0)=(l_(2)T_(1)-l_(1)T_(2))/(T_(1)-T_(2))`
Promotional Banner

Similar Questions

Explore conceptually related problems

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

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 tension in 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 metal wire is l_1 when the tension in 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 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

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 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 :-

A stretched wire emits a fundamental note of2 56 Hz. Keeping the stretching force constant and reducing the length of wire by 10 cm, the frequency becomes 320 Hz, the original length of the wire is

Show dimensionally that the expression , T = (MgL)/(pi r^(2)l is dimensionally correct , where T is Young 's modulus of the length of the wire ,Mg is the weight applied in the wire and L is the original length of the wire ,and l is the increase in the length of the wire .

A wire of length L and radius r is clamped at one end. On stretching the other end of the wire with a force F, the increase in its length is 1. If another wire of same material but of length 2L and radius 2r is stretched with a force 2F, the increase in its leagth will be