If the ratio of lengths, radii and Young’s modulii of steel and brass wires in the figures are a, b and c respectively. Then the corresponding ratio of increase in their lengths would be :
The Young’s Modulus of a wire in numerically equal to the stress which will :
An elevator cable’s maximum stress is \[11\times 10^{7}N/m^{2}\] Its maximum upward acceleration is \[1.2m/s^{2}\]. If the cable has to support the total weight of 2000kg of a loaded elevator, the area of cross-section of the cable should be [Take g = \[9.8m/s^{2}\]]
Young modulus of elasticity of brass is 10^11 N/m2. The increase in its energy on pressing a rod of length 0.1 m and cross–sectional area 1 cm2 made of brass with a force of 10 kg along its length, will be …………
The diameter of a brass rod is 4 mm and Young’s modulus of brass is \[9\times 10^{10}N/m^{2}\]. The force required to stretch by 0.1% of its length is :
The approximate depth of an ocean is 2700 m. The compressibility of water is \[45.4\times10^{-11}Pa^{-1}\] and density of water is \[10^{3}kg/m^{3}\]. What fractional compression of water will be obtained at the bottom of the ocean ?
Two wires are made of the same material and have the same volume. However wire 1 has cross-sectional area A and wire 2 has cross-sectional area 3A. If the length of wire 1 increases by \[\Delta x\] on applying force F, how much force is needed to stretch wire 2 by the same amount ?
Two wires are made of same material and have same volume. However wire -1 has cross-sectional area A and wire-2 has cross-sectional area 3A. If length of wire -1 increases by \[\Delta x\] on applying force F, how much force is needed to stretch wire-2 by same amount ?
If \[\rho\] is density of the material of a wire and \[\sigma\] is the breaking stress, the greatest length of the wire that can hang freely without breaking is :
Two wires of the same material & length but diameters in the ratio 1 : 2 are stretched by the same force. The potential energy per unit volume for the two wires when stretched will be in the ratio :