Home
Class 12
PHYSICS
A pendulumd made of a uniform wire of cr...

A pendulumd made of a uniform wire of cross sectional area (A) has time T.When an additionl mass (M) is added to its bob, the time period changes to `T_(M). If the Young's modulus of the material of the wire is (Y) then `1/Y` is equal to:

A

`[((T_M)/(T))^2-1](A)/(Mg)`

B

`[((T_M)/(T))^(2)-1 ](Mg)/(A)`

C

`[1-((T_M)/(T))^(2)](A)/(Mg)`

D

`[1-((T)/(T_M))^(2)](A)/(Mg)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

When a wire 2 m long and 0.05 cm^(2) in cross-section is stretched by a mass of 2 kg, it increases in length by 0.04 mm. Young's modulus of the material of the wire is (g=10ms^(-2))

The increase in energy of a metal bar of length L and cross-sectional area A when compressed with a load M along its length is (where, Y= Young's modulus of the material of metal bar)

A 20 N stone is suspended from a wire and its length changes by 1% . If the Young's modulus of the material of wire is 2xx10^(11)N//m^(2) , then the area of cross-section of the wire will be

A telephone wire 125 m long and 1 mm in radius is stretched to a length of 125.25m when a force of 800N is applied. What is the value of young's Modulus for the material of the wire ?

A block of weight 10 N is fastened to one end of a wire of cross sectional area 3 mm^2 and is rotated in a vertical circle of radius 20 cmk. The speed of the block at the bottom of the circle is 2ms^-1 . Find the elongation of the wire when the block is at the bottom of the circle. Young modulus of the material of the wire =2xx10^11Nm^-2 .

A wire of length L and cross sectional area A is made of a material of Young's modulus Y. If the wire is streched by an amount x, the work done is………………

A steel wire of cross sectional area 3 xx 10^-6 m^2 can withstand a maximum strain of 10^-3 . Young's modulus of steel is 2 xx 10^11 N//m^2 . The maximum mass the wire can hold is (g = 10 m//s^2)

A metal wire of length L_1 and area of cross-section A is attached to a rigid support. Another metal wire of length L_2 and of the same cross-sectional area is attached to free end of the first wire. A body of mass M is then suspended from the free end of the second wire. If Y_1 and Y_2 are the Young's moduli of the wires respectively, the effective force constant of the system of two wire is

Calculate the work done in stretching a steel wire of length 2m and cross sectional area 0.0225mm2 when a load of 100 N is slowly applied to its free end.(Young's modulus of steel = 2 x 10¹¹ N/m² )

A wire of length 20 m and area of cross section 1.25 xx 10^(-4) m^2 is subjected to a load of 2.5 kg. (1 kgwt = 9.8N). The elongation produced in wire is 1 xx 10^(-4) m. Calculate Young’s modulus of the material.