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A source has a cosine power pattern that is bidirectional. Given that the directivity of a unidirectional source with cosine power pattern has a directivity of 4, then the directivity of the unidirectional source is:
A solid sphere of radius 13 cm is melted and its some part is used to cast a hollow sphere whose internal radius is 5 cm. What will be the thickness of the sphere if the surface area of solid sphere is equal to the total surface area of hollow sphere?
A lady wants to buy the following items in the given price range- 1. Tomato between Rs. 40 and Rs. 45 per kg. 2. Grapes in the price range of Rs. 80 and Rs. 90 per kg. 3. Milk packets at Rs. 23 per liter. In which shop from the following will she definitely get all her items/ A. Shop S sells tomato at Rs. 22.5 per half kg, Grapes at Rs. 82 per kg and milk at Rs. 24 per liter. B. Shop H sells grapes at Rs. 21 per quarter kg, milk at 12.5 per half litre and tomato at Rs. 22 per half kg. C. Shop O sells milk at Rs. 11.5 per half litre, tomato at 21 per half kg and grapes at Rs. 43 per half kg. D. Shop P sells tomato at Rs. 23.5 per half kg, grapes at Rs. 85 per kg and milk at Rs. 23 per litre.
A black body radiates energy at the rate of 1×105 J/(sm)2 at a temperature of 227°C. The temperature to which it must be heated so that it radiates energy at the rate of 1×109 J/(sm)2.
A rectangular horn antenna has an aperture area of 3λ × 2λ. If the aperture efficiency of an antenna is 90%, then the directivity of the antenna is:
Simplify : $${{{5 \over 3} \times {7 \over {51}}{\text{ of }}{{17} \over 5} - {1 \over 3}} \over {{2 \over 9} \times {5 \over 7}{\text{ of }}{{28} \over 5} - {2 \over 3}}}$$
A small sphere of radius r is kept inside a hollow sphere of radius R (R > r) concentrically. The large and small sphere are charged by charges Q and q respectively. Both the sphere are separated from each other. The potential difference depends upon:
If the radius of a sphere increased by 25%, by what approximate percentage will the expression (3Sr - 2V) will increase, where ‘S’ is the surface area of the sphere, ‘r’ is the radius of the sphere and ‘V’ is the volume of the sphere?
In this question two quantities are given. Find and compare them and choose the appropriate options. A cylinder of radius R and height H has the same volume as that of a sphere of radius r. The surface area of sphere is more than the curved surface area of cylinder. Quantity I: x, where 9x – 2 = 0 Quantity II: R/H; where a cylinder of radius R and height H has the same volume as that of a sphere of radius r. The surface area of sphere is more than the curved surface area of cylinder.
The radius of a sphere is 20 cm. The height of a cylinder inscribed into the sphere is 20% more than the radius of the sphere. What is the ratio of the volume of the cylinder to the volume of the sphere?