The volume of a cube is 64 cm3. Its surface area is
(a) 16 cm2 (b) 64 cm2 (c) 96 cm2 (d) 128 cm2
The dimensions of a godown are 40 m, 25 m and 10 m. If it is filled with cuboidal boxes each of dimensions 2 m × 1.25 m × 1 m, then the number of boxes will be
(a) 1800 (b) 2000 (c) 4000 (d) 8000
The correct answer is option (c) 4000
Explanation:
Given that, the dimensions of the godown are 40 m, 25 m and 10 m
Volume = 40 m × 25 m × 10 m = 10000 m3
Given that, volume of each cuboidal box is 2 m × 1.25 m × 1 m = 2.5 m3
Hence, the total number of boxes to be filled in the godown is
= 10000/2.5 = 4000
A regular hexagon is inscribed in a circle of radius r. The perimeter of the regular hexagon is
(a) 3r (b) 6r (c) 9r (d) 12r
The surface area of the three coterminous faces of a cuboid are 6, 15 and 10 cm2 respectively. The volume of the cuboid is
(a) 30 cm3 (b) 40 cm3 (c) 20 cm3 (d) 35 cm3
If the height of a cylinder becomes 1/4 of the original height and the radius is doubled, then which of the following will be true?
(a) Total surface area of the cylinder will be doubled.
(b) Total surface area of the cylinder will remain unchanged.
(c) Total surface of the cylinder will be halved.
(d) None of the above.
The correct answer is option (d) None of the above.
Explanation:
We know that, the total surface area of a cylinder is 2p r(h + r), when the radius is “r” and height is “h”.
If the radius is 2r and the height is (1/4)h, then the total surface area becomes,
= 2p (2r) ((1/4)h + 2r)
= 4 pr [(h+8r)/4]
= pr (h+8r)
If the height of a cylinder becomes1/4 of the original height and the radius is doubled, then which of the following will be true?
(a) Curved surface area of the cylinder will be doubled.
(b) Curved surface area of the cylinder will remain unchanged.
(c) Curved surface area of the cylinder will be halved.
(d) Curved surface area will be 1/4 of the original curved surface.
The correct answer is option (c) Curved surface area of the cylinder will be halved.
Explanation:
We know that the curved surface area of a cylinder with radius “r” and height “h” is given as
The curved surface area of a cylinder = 2prh … (1)
Now, the new curved surface area of cylinder with radius 2r and height (1/4)h, then the new curved surface area is
= 2p(2r)(1/4)h
= prh
Now, multiply an divide the new curved surface area by 2, we will get
= (1/2) (2) prh …. (2)
Now, by comparing (1) and (2), we get:
The new curved surface area of a cylinder is (1/2) times of the original curved surface area of a cylinder.
In the Gold foil experiment of Geiger and Marsden, that paved the way for Rutherford’s model of an atom, 1.00% of the alpha-particles were found to deflect at angles > 50º. If one mole of α-particles were bombarded on the gold foil, compute the number of α-particles that would deflect at angles less than 500.
Total number of a particles used for bombardment = 1 mole
1 mole=6.022×1023 particles
number of a particles deflected at angles greater than 50°(>50°)= 1%
Number of a particles deflected at angles greater than 50° = 100-1 = 99%
The actual number of a particles deflected at angles less than 50°= 99/100 × 6.022 × 1023
=5.96 × 1023
Show diagrammatically the electron distributions in a sodium atom and a sodium ion and also give their atomic number.
Atomic number of sodium (Z) =11 Mass number of sodium (A) = 23
Number of protons in the nucleus = 11 Number of neutrons in the nucleus =23-11 = 12
Number of electrons = 11
Electronic configuration of Na-atom = 2, 8, 1(K,L,M)
Na+ ion is formed from sodium atom by loss of an electron (present in the outermost shell). Hence,
the electronic configuration is 2, 8(K, L). However, the number of protons and neutrons remains the same.

What are the postulates of Bohr’s model of an atom?
Postulates of Bohr’s model of an atom are
What were the drawbacks of Rutherford’s model of an atom?
Rutherford’s model could not explain the stability of the atom.
Revolving electrons would lose energy as they are the charged particles and due to acceleration, charged particles would radiate energy.
The orbit of the revolving electron will reduce in size, following a spiral path as shown in the figure and ultimately the electron should fall into the nucleus. In other words, the atom should collapse.
