WBJEE · Physics · Mathematics in Physics
The expression \(\bar{A}(A+B)+(B+A A)(A+\bar{B})\) simplifies to
- A \(A+B\)
- B \(A B\)
- C \(\overline{\mathrm{A}+\mathrm{B}}\)
- D \(\bar{A}+\bar{B}\)
Answer & Solution
Correct Answer
(A) \(A+B\)
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & \bar{A}(A+B)+(B+A A)(A+\bar{B}) \\=& \bar{A} A+\bar{A} B+(B+A)(A+\bar{B}) \\=& O+\bar{A} B+A B+A+B \bar{B}+A \bar{B} \\=&(\bar{A}+A) B+A+O+A \bar{B} \\=& 1 . B+A(1+\bar{B}) \\=& A+B \end{aligned}\)
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- Four capacitors of equal capacitance have an equivalent capacitance \(\mathrm{C}_1\) when connected in series and an equivalent capacitance \(\mathrm{C}_2\) when connected in parallel. The ratio \(\frac{\mathrm{C}_1}{\mathrm{C}_2}\) is:WBJEE 2009 Easy
- A bullet of mass \(m\) travelling with a speed \(v\) hits a block of mass \(M\) initially at rest and gets embedded in it. The combined system is free to move and there is no other force acting on the system. The heat generated in the process will beWBJEE 2013 Easy
- Four resistors, \(100 \Omega, 200 \Omega, 300 \Omega\) and \(400 \Omega\) are connected to form four sides of a square. The resistors can be connected in any order. What is the maximum possible equivalent resistance across the diagonal of the square?WBJEE 2018 Medium
- In the circult shown in the figure all the resistance are identical and each has the value \(r \Omega\). The equivalent resistance of the combination between the points \(A\) and \(B\) will remain unchanged even when the followring pairs of points marked in the figure are connected through a resistance \(\mathbb{R}\).
WBJEE 2019 Medium - When light of frequency \(v_{1}\) is incident on a metal with work function \(W\) (where \(h v_{1}>w\) ), then photocurrent falls to zero at a stopping potential of \(V_{1}\). If the frequency of light is increased to \(v_{2},\) the stopping potential changes to \(V_{2}\). Therefore, the charge of an electron is given byWBJEE 2017 Medium
- The rms speed of oxygen is \(v\) at a particular temperature. If the temperature is doubled and oxygen molecules dissociate into oxygen atoms, the rms speed becomesWBJEE 2015 Easy
More PYQs from WBJEE
- \(\mathrm{CH}_{3}-\mathrm{C} \equiv \mathrm{C} \mathrm{MgBr}\) can be prepared by the
reaction ofWBJEE 2018 Easy - The total number of alkyl bromides (including stereoismers) formed in the reaction \(\mathrm{Me}_{3} \mathrm{C}-\mathrm{CH}=\mathrm{CH}_{2}+\mathrm{HBr} \rightarrow\) will beWBJEE 2020 Medium
- Ruma reached the metro station and found that the escalator was not working. She walked up the stationary escalator with velocity \(\mathrm{v}_1\) in time \(\mathrm{t}_1\). On other day if she remains stationary on the escalator moving with velocity \(\mathrm{v}_2\), then escalator takes her up in time \(t_2\). The time taken by her to walk up with velocity \(\mathrm{v}_1\) on the moving escalator will beWBJEE 2025 Medium
- The line \(A A^{\prime}\) is on charged infinite \(A\) conducting plane which is perpendicular to the plane of the paper. The plane has a surface density of charge \(\sigma\) and \(B\) is ball of mass \(m\) with a like charge of magnitude \(q . B\) is connected by string from a point on the line \(A A^{\prime}\). The tangent of angle (0) formed between the line \(A A^{\prime}\) and the string is
WBJEE 2015 Hard - In which of the following phenomena, the heat waves travel along straight lines with the speed of light?WBJEE 2014 Easy
- Which of the following materials is the best conductor of electricity?WBJEE 2009 Easy