The length and breadth of a rectangular sheet of paper are 60 cm and 30 cm, respectively. A square of side 5 cm is cut and removed from the four corners of the sheet. The rest of the paper is folded to form a cuboid (without the top face). Find the volume of the cuboid so formed (in `cm^(3)`).
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An infinite sheet in xy plane has a uniform surface charge density `sigma`. The thickness of the sheet is infinitesimally small. The sheet begins to m
Correct Answer - (1) `E=sigma/(2in_(0))` perpendiculary away from the sheet `B=(mu_(0)sigmav)/2` parallel to the sheet in `-ve` and `+ve` y direction (2) E= same as in (1);`B=0`
2 Answers 2 views
A rectangular glass block `(mu = 1.5)` is on top of a sheet of paper on which there on which there is a small dot. There is a layer of liquid between
Correct Answer - `mu_(0) = sqrt(2)`,No
2 Answers 1 views
Three small balls, each of mass 10 g , are suspended from a common point by 1-m silk threads . The balls are identically charged and hung at the corne
Correct Answer - `6 xx 10^(-8)` C
2 Answers 1 views
A square is drawn with the length of side equal to the diagonal of a cube. If the area of the square is `72075 cm^(2)`, then find the side of the cube
Correct Answer - 155 cm
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Find the capacity of a closed cuboidal cistern whose length is 3 m, breadth is 2 m and height is 6 m. Also find the area of iron sheet required to mak
Correct Answer - `72m^(2)`
2 Answers 1 views
If the perimeter of a rectangle is 10 cm and the difference between its length and breadth is 1 cm, then its length is ______ and its breadth is _____
Correct Answer - 3 cm and 2 cm
2 Answers 1 views
A square sheet of side 5 cm is cut out from a rectangular piece of an aluminium sheet of length 9 cm and breadth 6 cm. What is the area of the alumini
Correct Answer - 29 `cm^(2)`
2 Answers 1 views
The length of a cuboid is 2 cm more than its height, whereas its breadth is 2 cm less than the height. Its height is equal to the side of a square hav
Correct Answer - 960 `cm^(3)`
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From the four corners of a rectangular plastic sheet of size `34cmxx24cm`, four squares each of side 2 cm are cut and removed. The remaining sheet is
Correct Answer - Rs. 108
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If the length and breadth of a rectangular sheet are √5 + √2 and √5 – √2 units, then it’s area in sq. units
Correct option is (C) 3 Area of rectangular sheet \(=(\sqrt{5}+\sqrt{2})(\sqrt{5}-\sqrt{2})\) \(=(\sqrt{5})^2-(\sqrt{2})^2\) = 5 - 2 = 3 square units
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