Sujeet Kumar

Question 1.Select and write the correct answer from the given alternatives in each of the following questions :i) If p ∧ q is false and p ∨ q is true, the ________ is not true.(A) p ∨ q(B) p ↔ q(C) ~p ∨ ~q(D) q ∨ ~pSolution:(b) p ↔ q. (ii) (p ∧ q) → … Read more

Question 1.Express the following circuits in the symbolic form of logic and writ the input-output table.(i)Solution:Let p : the switch S1 is closedq : the switch S2 is closedr : the switch S3 is closed~p : the switch S1‘ is closed or the switch S1is open~q : the switch S2‘ is closed or the switch S2 is open~r : … Read more

Question 1.If A = {3, 5, 7, 9, 11, 12}, determine the truth value of each of the following.(i) Ǝ x ∈ A such that x – 8 = 1Solution:Clearly x = 9 ∈ A satisfies x – 8 = 1. So the given statement is true, hence its truth value is T. (ii) Ɐ … Read more

Question 1.If A = {3, 5, 7, 9, 11, 12}, determine the truth value of each of the following.(i) Ǝ x ∈ A such that x – 8 = 1Solution:Clearly x = 9 ∈ A satisfies x – 8 = 1. So the given statement is true, hence its truth value is T. (ii) Ɐ … Read more

Question 1.Construct the truth table for each of the following statement patterns:(i) [(p → q) ∧ q] → pSolution :Here are two statements and three connectives.∴ there are 2 × 2 = 4 rows and 2 + 3 = 5 columns in the truth table. (ii) (p ∧ ~q) ↔ (p → q)Solution: (iii) (p … Read more

Chapter 1 Mathematical Logic Ex 1.1 Question 1.State which of the following sentences are statements. Justify your answer. In case of statement, write down the truth value :(i) 5 + 4 = 13.Solution:It is a statement which is false, hence its truth value is ‘F’. (ii) x – 3 = 14.Solution:It is an open sentence, … Read more

Chapter 15 Structure of Atoms and Nuclei 1. Choose the correct option. i) In which of the following systems will the radius of the first orbit of the electron be the smallest?(A) hydrogen(B) singly ionized helium(C) deuteron(D) tritiumAnswer:(D) tritium ii) The radius of the 4th orbit of the electron will be smaller than its 8th … Read more

1. Choose the correct answer. i) A photocell is used to automatically switch on the street lights in the evening when the sunlight is low in intensity. Thus it has to work with visible light. The material of the cathode of the photocell is(A) zinc(B) aluminum(C) nickel(D) potassiumAnswer:(D) potassium ii) Polychromatic (containing many different frequencies) … Read more

1. Choose the correct option. iii) In a circuit L, C & R are connected in series with an alternating voltage of frequency f. the current leads the voltage by 450. The value of C is Answer: (A) 106W(B) 150W(C) 5625W(D) ZeroAnswer:(C) 5625W v) In a series LCR circuit the phase difference between the voltage … Read more

Chapter 12 Electromagnetic Induction 1. Choose the correct option. i) A circular coil of 100 turns with a cross-sectional area (A) of 1 m2 is kept with its plane perpendicular to the magnetic field (B) of 1 T. What is the magnetic flux linkage with the coil?(A) 1 Wb(B) 100 Wb(C) 50 Wb(D) 200 WbAnswer:(B) 100 … Read more