The boolean expression corresponding to the combinational circuit is 1) (x1 + x2 ∙ x3') x2 2) [x1 ∙ (x2 + x3)] + x2 3) [x1 ∙ (x2 + x3')] + x2 4) [x1 ∙ (x2 + x3')] + x3 5) (x1 + x2' ∙ x3) x2... View Article
In a boolean algebra B with respect to ‘ + ‘ and ‘ ∙’, x’ denotes the negation of x ϵ B. Then, 1) x - x' = 1 and x ∙ x' = 1 2) x + x' = 1 and x ∙ x' = 0 3) x + x' = 0 and x ∙ x' = 1 4) x + x' = 0 and x ∙ x' = 0 5) x - x' = 1 and... View Article
Which of the following is not a statement in logic? I. Earth is a planet. II. Plants are living objects. III. √-3 is a rational number. IV. x2 - 5x + 6 < 0, where x ϵ - R 1) I 2) III... View Article
The contrapositive of ‘If two triangles are identical, then these are similar’ is 1) If two triangles are not similar, then these are not identical 2) If two triangles are not, then these are not similar 3) If two... View Article
The statement ~ (p → q) is equivalent to 1) p ⋀ (~ q) 2) ~ p ⋀ q 3) p ⋀ q 4) ~ p ⋀ ~ q 5) p ⋁ q Solution: (1) p ⋀ (~ q) The logical equivalency ~ (p → q) ≡ p ⋀ (~ q)... View Article
If (p ⋀ ~ r) → (~ p ⋁ q) is false, then the truth values of p, q, and r are respectively 1) T, F and F 2) F, F and T 3) F, T and T 4) T, F and T Solution: p q r ~ p ~ r p ⋀ ~ r... View Article
The negation of the statement ‘He is rich and happy’ is given by 1) he is not rich and not happy 2) he is not rich or not happy 3) he is rich and happy 4) he is not rich and happy Solution: (2) he... View Article
For the circuit shown below, the boolean polynomial is 1) (~ p ⋁ q) ⋁ (p ⋁ ~ q) 2) (~ p ⋀ q) ⋀ (p ⋀ q) 3) (~ p ⋀ ~ q) ⋀ (q ⋀ p) 4) (~ p ⋀ q) ⋁ (p ⋀ ~ q) Solution: (4) (~ p ⋀ q) ⋁ (p... View Article
If p: 4 is an even prime number, q: 6 is a divisor of 12 and r: the HCF of 4 and 6 is 2, then which one of the following is correct? 1) (p ⋀ q) 2) (p ⋁ q) ⋀ ~ r 3) ~ (q ⋀ r) ⋁ p 4) ~ p ⋁ (q ⋀ r) 5) p ↔ (q ⋀ r) Solution: (4) ~ p ⋁ (q ⋀ r) p: 4 is an even prime... View Article
The dimensions of Planck’s constant are 1) [M2 L2 T -2 ] 2) [M L T -2 ] 3) [M L2 T -2 ] 4) [M L2 T -1 ] Answer: 4) [M L2 T -1 ] Energy of photon is given as... View Article
If force is proportional to square of velocity, then the dimensions of proportionality constant are 1) [ML -1 T ] 2) [ML -1 T0 ] 3) [ MLT0] 4) [ M0 LT -1 ] Answer: 2) [ML -1 T0 ] Solution: force is proportional to... View Article
The dimensions of kinetic energy are 1) [M2 L2 T] 2) [ML2 T] 3) [ML2 T-2 ] 4) [ML2 T -1 ] Answer: 3) [ML2 T-2 ] Solution: The formula for the kinetic energy is... View Article
Dimensions of resistance in an electrical circuit, in terms of dimension of mass M, of length L, of time T and current I, would be 1) [ML2 T -3I -1 ] 2) [ML2 T -2] 3) [ML2 T -1I -1 ] 4) [ML2 T -3I -2] Answer: 4) [ML2 T -3I -2] Solution: R = V/i = W/qi... View Article
Dimensional formula for force is Dimensional formula for force is 1) [ML2 T -2 ] 2) [MLT -2 ] 3) [ML -1 T -2 ] 4) [ML2 T -3 ] Answer: 2) [MLT -2 ] Solution:... View Article
The energy (E), angular momentum (L) and universal gravitational constant (G) are chosen as fundamental quantities. The energy (E), angular momentum (L) and universal gravitational constant (G) are chosen as fundamental quantities. The dimensions of universal... View Article
The dimensions of gravitational constant G and the moment of inertia are, respectively 1) [ML3 T-2 ], [ML2 T0 ] 2) [M-1L3 T-2 ], [ML2 T0 ] 3) [M-1L3 T-2 ], [M-1 L2 T ] 4) [ML3 T-2 ], [M-1L2 T ] Answer: 2)... View Article
If F denotes force and t time, then in equation F = at-1 + bt 2 , the dimensions of a and b, respectively are 1) [LT-4 ] and [LT-1 ] 2) [LT-1 ] and [LT-4 ] 3) [MLT-4 ] and [MLT-1 ] 4) [MLT-1 ] and [MLT-4 ] 5) [MLT-3 ] and [MLT-2 ] Answer: 4)... View Article
If C be the capacitance and V be the electric potential, then the dimensional formula of CV2 is 1) [ML-3 TA] 2) [M0 LT-2A0] 3) [ML1 T-2 A-1 ] 4) [ML2 T-2 A0 ] Answer: 4) [ML2 T-2 A0 ] Solution: Energy, E=CV2... View Article
The dimensional formula of physical quantity is [Ma Lb Tc ]. Then, that physical quantity is 1) spring constant, if a =1, b = 1, and c = –2 2) surface tension, if a =1, b =1, and c = –2 3) force, if a =1, b =1,c = 2 4) angular... View Article
If the force is given by F = at + bt2 with t as time. The dimensions of a and b are 1) [MLT-4], [MLT-4] 2) [MLT-3], [MLT-4] 3) [ML2 T-3], [ML2T-2] 4) [ML2 T-3], [ML3 T-4] Answer: 2) [MLT-3], [MLT-4] Solution: Each term in... View Article
