Mechanical Prop...

 An elastic string carrying a body of mass 'm' extends by 'e'. The body rotates in a vertical circle with critical velocity. The extension in the string at the lowest position is 

Y,K,n represent the Young's modulus, bulk modulus and rigidity modulus of a body respectively. If rigidity modulus is twice the bulk modulus, then 

A wire is stretched under a force. If the wire suddenly snaps, the temperature of the wire

In a Young's double slit experiment with sodium light, slits are 0.589 m apart. The angular separation of the maximum from the central maximum will be (given $$\lambda =589$$nm,):

A rod of length $$L$$ with square cross-section $$(a \times a)$$ is bend to form a circular ring.
Then the value of stress developed at points $$E$$ and $$F$$ respectively, ($$Y$$ is Young's modulus of metal rod)

A uniform slender rod of length L, cross-sectional area A and Young's modulus Y is acted upon by the forces shown in the figure. The elongation of the rod is

Poisson ratio for a material is 0.3 and its bulk modulus is $$1.5\times { 10 }^{ 11 }N/{ m }^{ 2 }$$. Young's modulus of the material is-

The mass and length of a wire are M and L respectively. The density of the material of the wire is d. On applying the force F on the wire, the increase in length is l, then the Young's modulus of the material of the wire will be

A rod AD consisting of three segments AB, BC and CD are joined together is A. The length of the three segment are respectively 0.1 m, 0.2 m and 0.15 m. The cross-section of the rod is uniformly $$10^{-4} m^2$$.A weight of 10 kg is hung from D. Calculate the displacement of point D. If [$$Y_{AB} = 2.5 \times 10^{10} N/{m^2}$$ , $$Y_{BC} = 4 \times 10^{10} N/{m^2}$$ and $$Y_{CD} = 1 \times 10^{10} N/{m^2}$$. Neglect the weight of the rod. Take g = 10 $$m/s^2$$]

A rubber cord has a cross-sectional area 1 $$mm^{ 2 }$$ and total unstretched length 10cm. It is stretched to 12cm and then released to project a mass of 80g. The Young's modulus for rubber is 5$$\times 10^{ 8 }Nm^{ -2 }$$. Find the velocity of mass (in m/s)?