Class XI

12.0-kg mass, fastened to the end of an aluminum wire with an un-stretched length of 0.50 m, is whirled in a vertical circle with a constant angular speed of 120 rev/min. The cross-sectional area of the wire is 0.014 cm2cm2. Calculate the elongation of the wire when the mass is at the highest point of its path.
  1. 0.42 cm
  2. 0.40 cm
  3. 0.36 cm
  4. 0.38 cm
A specimen of oil having an initial volume of 600 cm3cm3is subjected to a pressure increase of 3.6 ×× 106106Pa and the volume is found to decrease by 0.45 cm3cm3 what is the bulk modulus of the material?
  1. 4.8 ×× 109109 Pa
  2. 4.4 ×× 109109 Pa
  3. 4.6 ×× 109109 Pa
  4. 5.0 ×× 109109 Pa
A steel rod 2.0 m long has a cross-sectional area of 0.30 cm2cm2 . It is hung by one end from a support, and a 550-kg milling machine is hung from its other end. Determine the resulting strain
  1. 10.0 ×× 10−4
  2. 9.0 ×× 10−4
  3. 8.0 ×× 10−4
  4. 7.0 ×× 10−4
A hydraulic press contains 0.25 m3m3 (250 L) of oil. Find the decrease in the volume of the oil when it is subjected to a pressure increase ΔpΔp = 1.6 ×× 107107 Pa(about 160 atm or 2300 psi). The bulk modulus of the oil is B = 5.0 ×× 109109 Pa
  1. -0.60 L
  2. -0.80 L
  3. -0.20 L
  4. -0.30 L
Bulk modulus is
  1. the ratio of hydraulic stress to the corresponding hydraulic strain
  2. the ratio of longitudinal stress to the corresponding hydraulic strain
  3. the ratio of lateral stress to the corresponding hydraulic strain
  4. the ratio of hydraulic strain to the corresponding hydraulic stress
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