Boolean expression for OR gate is
(A) \(\bar{A} = A\)
(B) \(C = \overline{AB}\)
(C) A.B = 0
(D) A + B = C
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Boolean algebra is essentially based on
Correct Answer - C The Boolean algebra is based on logic.
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Assertion : In an OR gate if any of the input is high, the output is high. Reason: OR gate is the most basic gate, with one input and one output
Correct Answer - C An OR gate has two or more inputs with one output. NOT gate is the most basic gate with one input and one output. In an OR...
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The reaction `A+OH^(-)rarr` Products, obeys rate law expression as : `(-d[A])/(dt)=k[A][OH^(-)]` If initial concentrations of [A] and `[OH^(-)]` are 0
`A" "+ " "OH^(-)" "rarr` Products `t=0 " " 0.002 " "0.3` `k=(2.303)/(30xx(0.002-03))log_(10).(0.3[0.002-(0.002xx1)/(100)])/(0.002[0.3-(0.002xx1)/(100)])` `k=1.12xx10^(-3)"litre" "mol"^(-1)s^(-1)`
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The Boolean Expression `~(pvvq) vv(~pvvq)` is equivalent to
Correct Answer - B `~(pvvq) vv(~p^^q)` `=(~p^^~q)vv(~p^^q)` `=~p^^(~p^^q)` `=~p`
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Which of the following pairs of expression are defined for the same set of values of `x` ? `f_1(x)=2(log)_2xa n df_2(x)=(log)_(10)x^2` `f_1(x)=(log)_x
(i)`f_(1)(x) = 2 log_(10)x" is defined for "x gt 0` ` f_(2)(x) = log_(10)x^(2)" is defined for "x^(2) gt 0 or x in R - {0}` Therefore ` f_(1)(x) and...
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The dissociation equilibrium of a gas AB, can be represented as The degree of dissociation is x and is small compared to 1. The expression relating th
Correct Answer - B `{:(,2AB_(2)(g),hArr,2AB(g)+,B_(2)(g)),("Initial",1,,0,0),("moles",,,,),("At equil.",2(1-x),,2x,x):}` where, x = degree of dissociation Total moles at equilibrium `=2-2x+2x+x=(2+x)` So, `p_(AB_(2))=(2(1-x)p)/((2+x)), p_(AB)=(2x p)/((2+ x))` `p_(B_(2))=(x p)/((2+x))` `K_(p)=((p_(AB))^(2)(p_(B_(2))))/((p_(AB_(2)))^(2))=(((2x p)/(2+x))^(2)[((x)/(2+x))p])/([((2(1-x))/((2+x)))p]^(2))` `=(4x^(3)p^(3))/((2+x)^(3))xx((2+ x)^(2))/(p^(4)4(1-x)^(2))=(x^(3)p)/((2+x)(1-x)^(2))` `=(x^(3)p)/(2) " "...
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Define self -inductance and its `S.I.` unit. Derive an expression for self- industance of a long, air-cored solenoid of length , radius `r`, and havin
The self inductance of a coil is equal to the induced `emf` set up in the coil, when the current passing through it change at the unit rate The `SI`...
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Which one of the followings is associated with Logic gate ?
Correct option is: A. AND
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Converting the Boolean expression LM+M (NO+PQ) to SOP form, we get A. LM+MNOPQ B. L+MNO+MPQF
Correct option is: D. LM+MNO+MPQ
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Which of the examples below expresses the distributive law of Boolean algebra ?
Correct option is: B. A(B+C)=AB+AC
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