A solid piece of iron in the form of a cuboid of dimensions 49cm × 33cm × 24cm, is moulded to form a solid sphere. The radius of the sphere is
(A) 21cm (B) 23cm (C) 25cm (D) 19cm
Two wires of diameter 0.25 cm, one made of steel and the other made of brass are loaded as shown in Fig. 9.13. The unloaded length of steel wire is 1.5 m and that of brass wire is 1.0 m. Compute the elongations of the steel and the brass wires.
Read the following two statements below carefully and state, with reasons, if it is true or false.
(a) The Young’s modulus of rubber is greater than that of steel;
(b) The stretching of a coil is determined by its shear modulus.
The stress-strain graphs for materials A and B are shown in Fig. 9.12.
The graphs are drawn to the same scale.
(a) Which of the materials has the greater Young’s modulus?
(b) Which of the two is the stronger material?
Figure 9.11 shows the strain-stress curve for a given material.
What are (a) Young’s modulus and
(b) approximate yield strength for this material?
A steel wire of length 4.7 m and cross-sectional area 3.0 × 10-5 m² stretches by the same amount as a copper wire of length 3.5 m and cross-sectional area of 4.0 × 10–⁵ m² under a given load. What is the ratio of the Young’s modulus of steel to that of copper?
A metallic spherical shell of internal and external diameters 4 cm and 8 cm, respec- tively is melted and recast into the form a cone of base diameter 8cm. The height of the cone is
(A) 12cm (B) 14cm (C) 15cm (D) 18cm
A hollow cube of internal edge 22cm is filled with spherical marbles of diameter 0.5 cm and it is assumed that 1/8 space of the cube remains unfilled. Then the number of marbles that the cube can accomodate is
(A) 142296 (B) 142396 (C) 142496 (D) 142596
A cone is cut through a plane parallel to its base and then the cone that is formed on one side of that plane is removed. The new part that is left over on the other side of the plane is called
(A) a frustum of a cone (B) cone (C) cylinder (D) sphere
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