The Marina trench is located in the Pacific Ocean, and at one place it is nearly eleven km beneath the surface of water. The water pressure at the bottom of the trench is about 1.1 × 10⁸ Pa. A steel ball of initial volume 0.32 m³ is dropped into the ocean and falls to the bottom of the trench. What is the change in the volume of the ball when it reaches to the bottom?
Write ‘True’ or ‘False’ and justify your answer.
A solid ball is exactly fitted inside the cubical box of side a. The volume of the ballis 4/3 πa3
Write ‘True’ or ‘False’ and justify your answer.
A solid cylinder of radius r and height h is placed over other cylinder of same height and radius. The total surface area of the shape so formed is 4πrh + 4πr2.
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.
+91 94284 01196
© Copyright 2025. Doubtora. All Rights Reserved
