1 Wb/m2 is equal to
1) 104 gauss 2) 4π x 10-3 gauss 3) 102 gauss 4) 10-4 gauss Answer: 1) 104 gauss If a charge of... View Article
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If K denotes coefficient of thermal conductivity, d the density and c the specific heat, the unit of X , where X = K/ dc will be
1) cm s -1 2) cm 2 s -2 3) cm s 4) cm 2 s -1 Answer: 4) cm 2 s -1 The... View Article
The constant of proportionality (1/4πε0) in Coulomb’s law has the following unit
a) C-2Nm2 b) C2N-1m-2 c) C2Nm2 d) C-2N-1m-2 Answer: a) C-2Nm2 Soluion: From Coulomb’s law F=(1/4πε0)q1q2r2 ⇒[1/4πε0]=[F×r2][q]2 =[newton][metre]2[coulmb]2 =Nm2C−2
The negation of the proposition `If 2 is prime, then 3 is odd’ is
1) if 2 is not prime, then 3 is not odd 2) 2 is prime and 3 is not odd... View Article
Which of the following statements has the truth value ‘F’?
1) A quadratic equation has always a real root 2) The number of ways of seating 2 persons in two... View Article
The dual of the statement [p ⋁ (~ q)] ⋀ (~ p) is
1) p ⋁ (~ q) ⋁ ~ q 2) (p ⋀ ~ q) ⋁ ~ p 3) p ⋀ ~... View Article
If p, q and r are simple propositions with truth values T, F, T, then the truth value of [(~ p ⋁ q) ⋀ ~ r] ⇒ p is
1) true 2) false 3) true, if r is false 4) None of these Solution: (1) true ∼ p ∨... View Article
If p is the statement ‘Ravi races’ and q is the statement `Ravi wins’. Then, the verbal translation of ~ [p ⋁ (~ q)] is
1) Ravi does not race and Ravi does not win 2) It is not true that Ravi races or that... View Article
The converse of the contrapositive of the conditional p → ~ q is
1) p → q 2) ~ p → ~ q 3) ~ q → p 4) ~ p → q... View Article
Negation of the conditional, ‘If it rains, I shall go to school’ is
1) It rains and I shall go to school 2) It rains and I shall not go to school 3)... View Article
The contrapositive of (p ∨ q ) ⇒ r is
(1) ~ r ⇒ (p ∨ q) (2) r ⇒ (p ∨ q) (3) ~ r ⇒ (~ p ∧... View Article
Negation of Paris is in France and London is in England is
1) Paris is in England and London is in France 2) Paris is not in France or London is not... View Article
Simplify the following circuit and find the boolean polynomial
1) p ⋁ (q ⋀ r) 2) p ⋀ (q ⋁ r) 3) p ⋁ (q ⋁ r) 4) p... View Article
Which of the following Statements is a tautology?
1) (~ q ⋀ p) ⋀ q 2) (~ q ⋀ p) ⋀ (p ⋀ ~ p) 3) (~ q... View Article
If p: 7 is not greater than 4 and q: Paris is in France, are two statements. Then, ~ (p ⋁ q) is the statement
1) 7 is greater than 4 or Paris is not in France 2) 7 is not greater than 4 and... View Article
If S (p, q, r) = (~ p) ∨ [~ (q ∧ r)] is a compound statement, then S (~ p, ~ q, ~ r) is
1) ~ S (p, q, r) 2) S (p, q, r) 3) p ∨ (q ∧ r) 4) p ∨... View Article
For any two statements p and q, ~ (p ∨ q) ∨ (~ p ∧ q) is logically equivalent to
1) p 2) ~ p 3) q 4) ~ q Solution: (2) ~ p ~ (p ∨ q) ∨ (~... View Article
If S be a non-empty subset of R. Consider the following statement P: There is a rational number x ∈ S such that x > 0. Which of the following statements is the negation of statement P?
Consider the following statement P: There is a rational number x ∈ S such that x > 0. Which of... View Article
The contrapositive statement of the proposition p → ~ q is
1) ~ p → q 2) ~ q → p 3) q → ~ p 4) None of these Solution:... View Article
Which of the following is not a logical statement?
1) 8 is less than 6 2) Every set is a finite set 3) Kashmir is far from here 4)... View Article
