A wire ofuniform cross-section is suspended vertically from a fixed point , with a load attached at the lower end. Show that the change in frequency related to the altered frequency of the wire due to rise in temperature is approx ` (1)/(2) alpha `t, Where `alpha` is the linear coefficient of expansion of the wire and `t^(@)C` is small rise in temperature.

A wire of uniform cross - section is suspended vertically from a fixed point , with a load attached at the lower end . Calculate the fractional change in frequency of the wire due to rise in temperature by t^(@) C . The coefficient of expansion of the wire is alpha .

A thin rod of negligible mass and area of cross section S is suspended vertically from one end. Length of the rod is L_(0) at T^(@)C . A mass m is attached to the lower end of the rod so that when temperature of the rod is reduced to 0^(@)C its length remains L_(0) Y is the Young’s modulus of the rod and alpha is coefficient of linear expansion of rod. Value of m is :

A wire suspended vertically from one of its ends is stretched by attaching a weight of 20 N to its lower end. If its length changes by 1% and if the Young's modulus of the material of the wire is 2 xx 10^(11) N//m^(2) , then the area of cross section of the wire is

Length of wire at room temperature is 4.55 m , when the temperature increases upto 100^(@) C then its length becomes 4.57 m . The coefficient of linear expansion (alpha) of the given wire is

If I is the moment of inertial of a disc about an axis passing through its centre then find the change in moment of inertial due to small change in its moment of inertia due to small change in its temperature Delta t . alpha is the coefficient of linear expansion of disc.

A wire of length L,area of cross section A is hanging from a fixed support. The length of the wire changes to L_1 when mass M is suspended from its free end. The expression for Young's modulus is:

A steel wire of unifrom cross-section 1 mm^(2) is heated to 70^(@)C and strechted by tying it two ends rigidly. Calculate the change in tension on the wire when temperature falls form 70^(@)C to 35^(@)C

When the temperature of a rod increases from 1 to t. Delta t,the moment of inertia increases from 1 to 1+Delta.The coefficient of linear expansion of the rod is alpha.The ratio Delta I/I is :

A bob of simple pendulum is suspended by a metallic wire. If alpha is the coefficient of linear expansion and d theta is t he change in temperature then prove that percentage change in time period is 50 alpha d theta .