



Solution:
Here, C = A.B and D = Ā.B
E = C + D = (A B) + (Ā .B)
Explanation The truth table of this arrangement of gates can be given
| A | B | Ā | C = A.B | d = Ā.B | E = (C + D) |
| 0 | 0 | 1 | 0 | 0 | 0 |
| 0 | 1 | 1 | 0 | 1 | 1 |
| 1 | 0 | 0 | 0 | 0 | 0 |
| 1 | 1 | 0 | 1 | 0 | 0 |
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Four resistances 10 W, 5 W, 7 W and 3 W are connected so that they form the sides of a rectangle AB, BC, CD and DA respectively. Another resistance of 10 W is connected across the diagonal AC. The equivalent resistance between A and B is
|
(a) 2 W |
(b) 5 W |
(c) 7 W |
(d) 10 W |
The pole strength of a bar magnet is 48 ampere-metre and the distance between its poles is 25 cm. The moment of the couple by which it can be placed at an angle of 30o with the uniform magnetic intensity of flux density 0.15 Newton /ampere-metre will be
|
(a) 12 Newton × metre |
(b) 18 Newton × metre |
|
(c) 0.9 Newton × metre |
(d) None of the above |
The length of the optical path of two media in contact of length
and
of refractive indices
and
respectively, is
|
(a) |
(b) |
(c) |
(d) |
Plane polarised light is passed through a polaroid. On viewing through the polaroid we find that when the polariod is given one complete rotation about the direction of the light, one of the following is observed
|
(a) The intensity of light gradually decreases to zero and remains at zero |
|
(b) The intensity of light gradually increases to a maximum and remains at maximum |
|
(c) There is no change in intensity |
|
(d) The intensity of light is twice maximum and twice zero |
The reading of the ideal voltmeter in the adjoining diagram will be

|
(a) 4 V |
(b) 8 V |
(c) 12 V |
(d) 14 V |
Force acting upon a charged particle kept between the plates of a charged condenser is F. If one plate of the condenser is removed, then the force acting on the same particle will become
|
(a) 0 |
(b) F/2 |
(c) F |
(d) 2F |
The path of a refracted ray of light in a prism is parallel to the base of the prism only when the
|
(a) Light is of a particular wavelength |
|
(b) Ray is incident normally at one face |
|
(c) Ray undergoes minimum deviation |
|
(d) Prism is made of a particular type of glass |
In an isolated parallel plate capacitor of capacitance C, the four surface have charges
and
as shown. The potential difference between the plates is

|
(a) |
(b) |
(c) |
(d) |
The magnetic field B with in the solenoid having n turns per metre length and carrying a current of i ampere is given by
|
(a) |
(b) |
(c) 4π |
(d) ni |