If two solid hemispheres of same base radius r are joined together along their bases, then curved surface area of this new solid is
(A) 4πr2 (B) 6πr2 (C) 3πr2 (D) 8πr2
A medicine-capsule is in the shape of a cylinder of diameter 0.5 cm with two hemispheres stuck to each of its ends. The length of entire capsule is 2 cm. The capacity of the capsule is
(A) 0.36 cm3 (B) 0.35 cm3 (C) 0.34 cm3 (D) 0.33 cm3
Compute the fractional change in volume of a glass slab, when subjected to a hydraulic pressure of 10 atm.
The radii of the top and bottom of a bucket of slant height 45 cm are 28 cm and 7 cm, respectively. The curved surface area of the bucket is
(A) 4950 cm2 (B) 4951 cm2 (C) 4952 cm2 (D) 4953 cm2
Twelve solid spheres of the same size are made by melting a solid metallic cylinder of base diameter 2 cm and height 16 cm. The diameter of each sphere is
(A) 4 cm (B) 3 cm (C) 2 cm (D) 6 cm
What is the density of water at a depth where pressure is 80.0 atm, given that its density at the surface is 1.03 × 103 kg m–3?
Compute the bulk modulus of water from the following data: Initial volume = 100.0 litre, Pressure increase = 100.0 atm (1 atm = 1.013 × 105 Pa), Final volume = 100.5 litre. Compare the bulk modulus of water with that of air (at constant temperature).
Explain in simple terms why the ratio is so large.
A 14.5 kg mass, fastened to the end of a steel wire of unstretched length 1.0 m, is whirled in a vertical circle with an angular velocity of 2 rev/s at the bottom of the circle.The cross-sectional area of the wire is 0.065 cm². Calculate the elongation of the wire when the mass is at the lowest point of its path.
A rigid bar of mass 15 kg is supported symmetrically by three wires each 2.0 m long.Those at each end are of copper and the middle one is of iron. Determine the ratios of their diameters if each is to have the same tension.
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