2 A steel wire of length 2 0 m is stretched through 20 mm

Example 2 6 Two clocks are being tested against a standard clock located in a national laboratory At 12 00 00 noon by the standard clock the readings of the two clocks are Monday Tuesday Wednesday Thursday Friday Saturday Sunday Clock 1 12 00 05 12 01 15 11 59 08 12 01 50 11 59 15 12 01 30 12 01 19 Clock 2 10 15 06 10 14 59 10 15 18 10 15 07 10 14 53 10 15 24 10 15 11 If you are doing an experiment that requires precision time interval measurements which of the two clocks will you prefer

The mean pressure is 6K 5 which rain renders to vertical windshield of automobile moving with constant velocity of magnitude v 12 m s Consider that raindrops fall vertically with speed u 5 m s The intensity of rainfall deposits h 2 cm of sediments in time t 1 minute p 10 kg m is the density of liquid Assume collisions are inelastic

8 A thick rope of rubber of length 8 m and density 1 5 10 kg m has Young s modulus 3 5x 106 Nm 2 When hung from ceiling of a room the increase in length due to its own weight is a 96 10 3 m b 19 2x 10 5 m c 9 4 cm d 9 6 mm

22 Aballoon of volumie V contains a gas of mass mat a pressure P and temperature 15 C Gas is pumped into the balloon so that its volume is doubled and the pressure is trebled If the temperature increases 6 C in the process finc the ratio of the increase in mass to the origi nal mass 1 34 5 2 239 49

Two equal and opposite forces each of magnit F is applied along a rod of transverse sectional area A The normal stress to a section PQ inclined to transverse section is ar 0 F 1 3 F sine A sin 20 2 4 P F A A Q AS cose Ecos 0 F

In a Quincke s tube there are two positions where sound becomes minimum the sliding distance between the is 16 6 cm Find the freq of sound source Sound velocity in air 332 m sec A tuning fork having frequency 300 Hz produce four beats ner ser with x If we file arm of unknown and ag

13 Volume of a substance at normal atmospheric pressure is 3500 10 6 m What will be its change in volume at the pressure of 25 standard atmosphere Given that bulk modulus of the substance is 1011 N m 2 85 x 10 9 m

stration 5 2 Assume that if the shear stress in steel exceeds about 4 00 x 108 N m the steel reptures Determine the shearing force necessary to a shear a steel bolt 1 00 cm in diameter and b punch a 1 00 cm diameter hole in a steel plate 0 500 cm thick

A pipe of circular cross section of inner radius r and outer radius 2r is bent into a semi circle as shown in the diagram A fluid of density p 10 kg m is flowing through it The breaking stress of the material of the pipe is 3 x 10 N m The maximum velocity with which the fluid can flow in the pipe is kx 100 m s Find value of k 9

34 Density of ice is p and that of water is o What will be decrease in volume when a mass M of ice melts 1 M o p 1 3 M 2 4 o p M M 10