(i) State Hook's law. (ii) Draw a labelled graph of tensile stress against tensile strain for a metal wire upto the breaking point. Shhow on your graph the region in which Hooke's law is obeyed. What is the significance of the area between the graph and the strain axis withing the Hooke's law region?
A mass (M) attached to a spring, oscillates with a period of (2 sec). If the mass in increased by (2 kg) the period increases by one sec. Find the initial mass (M) assuming that Hook's Law is obeyed.
When a person stands on a weighing balance, working on the principle of Hooke's law, it shows a reading of 60kg after a long time and the spring gets compressed by 2.5cm . If the person jumps on the balance from a height of 10cm , the maximum reading of the balance will be
When a 4 kg mass is hung vertically on a light string that obeys Hooke's law, the spring stretches by 2 cm. The work required to be done by an external agent in stretching this spring by 5 cm will be ( g=9.8(metrs)/(sec^2) )
A 2144kg freight car roles along rails with negligible friction. The car is brought to rest by a combination of two coiled springs as illustrated in figure. Both springs are described by Hooke's law with k_1=1600Nm^-1 and k_2=3400Nm^-1 . After the first spring compresses a distance of 30.0cm , the second spring acts with the first to increase the force as additional compression occurs as shown in the graph in figure. The car comes to rest 50.0cm after first contracting the two-spring system. Find the car's initial speed (i n xx10^-1Nm^-1) .
Hook's law defines
Show that the Young.s modulus of the material of a wire is equal to the stress required to double the initial length of the wire. Assume that Hookes law holds good throughout the process.
A 20 cm long rubber string fixed at both ends obeys Hook's law. Intially when it is stretched to make its total length of 24 cm , the lowest frequency resonance is v_(0) . It is further stretched to make its total length of 26 cm . The lowest frequency of resonance will now be :
Two equal masses are connected by a spring satisfying Hook's law and are placed on a frictionless table. The spring is elongated a little and allowed to go. Let the angular frequency of oscillations be omega . Now one of the masses is stopped. The square of the new angular frequency is :
Two important physical evidences supporting the synergic bonding in non-classical complexes are bond lengths and vibrational spectra. Vibrational spectra is based on the fact that the compression and extension of a bond may be analogous to the behaviour of a spring and obeys Hook's law. overline(v)=(1)/(2pic)sqrt((k)/(mu))cm^(-1) where, k=force force constant of the bond which is directly proportional to bonnd strength of CO mu= reduced mass of ligand overline(v) =stretching frequency of the CO bond c=velocity of light Q. In Mn_(2)(CO)_(10) carbonyl complex, the d-orbital of Mn-atom which can not be involved in synergic bonding betwee Mn and CO ligands:
VMC MODULES ENGLISH-PROPERTIES OF MATTER-JEE Advanced (Archive) Level - 2 (MATRIX MATCH TYPE)
