Write ‘True’ or ‘False’ and justify your answer.
Two identical solid hemispheres of equal base radius r cm are stuck together along their bases. The total surface area of the combination is 6πr2.
Two strips of metal are riveted together at their ends by four rivets, each of diameter 6.0mm. What is the maximum tension that can be exerted by the riveted strip if the shearing stress on the rivet is not to exceed 6.9 × 10⁷Pa? Assume that each rivet is to carry one quarter of the load.
Write ‘True’ or ‘False’ and justify your answer
Actual capacity of a vessel as shown in the Figure is equal to the difference of volume of the cylinder and volume of the hemisphere.
A mild steel wire of length 1.0 m and cross-sectional area 0.50 × 10-2 cm²
is stretched, well within its elastic limit, horizontally between two pillars. A mass of 100g is suspended from the mid-point of the wire. Calculate the depression at the mid-point.
Write ‘True’ or ‘False’ and justify your answer.
Total surface area of a lattu (top) as shown in the Figure is the sum of total surface area of hemisphere and the total surface area of cone.
A rod of length 1.05 m having negligible mass is supported at its ends by two wires of steel (wire A) and aluminium (wire B) of equal lengths as shown in Fig. 9.15. The cross-sectional areas of wires A and B are 1.0 mm² and 2.0 mm², respectively. At what point along the rod should a mass m be suspended in order to produce (a) equal stresses and (b) equal strains in both steel and aluminium wires.
Write ‘True’ or ‘False’ and justify your answer.
Two identical solid cubes of side a are joined end to end. Then the total surface area of the resulting cuboid is 12a2.
Write ‘True’ or ‘False’ and justify your answer.
A spherical steel ball is melted to make eight new identical balls. Then, the radius of each new ball be 1/8 th the radius of the original ball.
Anvils made of single crystals of diamond, with the shape as shown in Fig. 9.14, are used to investigate behaviour of materials under very high pressures. Flat faces at the narrow end of the anvil have a diameter of 0.50 mm, and the wide ends are subjected to a compressional force of 50,000 N. What is the pressure at the tip of the anvil?
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