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Answers posted by meena.p
Questions
12710
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0
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In the equation of state of an ideal gas PV = n RT, the value of the universal gas constant would depend only on
answered
Jul 31, 2018
Solution : In the equation of state of an ideal gas PV = nRT, the value of the universal gas constan...
0
votes
In order to increase the volume of a gas by 10%, the pressure of the gas should be
answered
Jul 31, 2018
Solution : : PV=constPV=const$P_1V_1=P_2V_2$$P_2=P_1V_1/V_2$$\qquad=P_1V_1/1.1V_1$$\qquad= 0.9\;P_1$...
0
votes
If a gas expands at constant temperature, it indicates that:
answered
Jul 31, 2018
Solution : If a gas expands at constant temperature, then pressure of the gas decrease and number of...
0
votes
How large a balloon could you fill with $4\;g$ of He gas at $22^{\circ}C$ and 720 mm of Hg?
answered
Jul 31, 2018
Solution : Given, P = 720 / 760 atm, T = 295K, w = 4g and m = 4 for He PV = w / M RT = 720 / 760...
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votes
A gas occupies one litre under atmospheric pressure. What will be the volume of the same amount of gas under 750 mm of Hg at the same temperature?
answered
Jul 31, 2018
Solution : Given $V_1= 1\;litre$$P_1=1\;atm$$V_2=?$$P_2=750/760\;atm$Using$P_1V_1=P_2V_2$$1 \times 1...
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votes
Which sample demonstrates particles arranged in a regular geometric pattern?
answered
Jul 31, 2018
Answer : $(b)\; CO_2(s)$
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The amount of energy needed to change a substance from a solid phase to a liquid phase is __________ .
answered
Jul 31, 2018
Solution : The amount of energy needed to change a substance from a solid phase to a liquid phase is...
0
votes
If $x=2$ and $x=3$ are the roots of the equation $3x^2-2px+2q=0$, then the value of $p$ and $q$ are ______
answered
Jul 31, 2018
Answer : p=152" role="presentation" style="position: relative;">p=152p=152p=\large\frac{15}{2};q=...
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votes
The roots of the equation $x^2-6x+7=0$ are $\alpha$ and $\beta$. The value of $\large\frac{1}{\alpha}+\frac{1}{\beta}$ is
answered
Jul 31, 2018
Solution : $x^2-6x+7=0$$(x-7)(x+1)=0$=> $\alpha=7$ and $\beta=-1$$\therefore \large\frac{1}{\alph...
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votes
For what value of $m$ does the equation $x^2+4x+m=0$ have equal roots ?
answered
Jul 31, 2018
Solution : $b^2-4ac= 16-4 \times 1 \times m=0$=> $16=4m$=> $m= 4$
0
votes
The equation $(3x+1)^2=-2x$ has
answered
Jul 31, 2018
Solution : $(3x+1)^2=-2x$=> $9x^2+6x-1-2x=0$=> $9x^2+4x+1=0$=> $b^2-4ac=16-4 \times 9 \time...
0
votes
The solution of the expression is
$\qquad \qquad \qquad \large\frac{x+3}{1-x}=\frac{-9}{x}$
answered
Jul 31, 2018
Solution : $\large\frac{x+3}{1-x}=\frac{-9}{x}$=> $x(x+3)=-9(1-x)$=> $x^2+3x=-9+9x$=> $(x-3...
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votes
A picture is to be pasted inside a frame. The frame will be cut out of a piece of steel, so as to keep the weight minimum. The final area should be $28\;cm^2$. The inside of the frame where the picture has to be pasted has to be 11 cm by 6 cm. What should be the width of the metal ?
answered
Jul 31, 2018
Solution : Area of the steel before cutting $=(11+2x)(6+2x)\;m^2$Area of the steel after cutting is ...
0
votes
The possible solutions for the equations are :
$\qquad \qquad \qquad 6x^2+5x-6=0$
answered
Jul 31, 2018
Solution : $6x^2+5x-6=0$$6x^2+9x-4x-6=0$$3x(2x+3)-2(2x+3)=0$=> $(3x-2)(2x+3)=0$$3x-2=0$When $2x+3...
0
votes
The simplified form of $\large\frac{4(2x^2+7x+3)}{(8x+4)}$ is
answered
Jul 31, 2018
Solution : $\large\frac{4(2x^2+7x+3)}{8x+4}=\frac{4(2x^2+7x+3)}{4(2x+1)}$$2x^2+7x+3=2x^2+6x+x+3$$\qq...
0
votes
How many real solutions are there for the equation $x^4+3x^2-10=0$
answered
Jul 30, 2018
Solution : Put $x^2=a$$\therefore a^2+3a-10=0$Using the quadratic formula , $\large\frac{-b \pm \sqr...
0
votes
A rectangle has a perimeter $80m$ and an area of $400m^2$. What is the sum of the length and the width ?
answered
Jul 30, 2018
Solution : $2(l+w)=80$=> $l(40-l)=400$=> $4=l-l^2=400$=> $l^2-20l-20l+400=0$=> $l^2=20l-...
0
votes
$2x^2-6x+3$ has
answered
Jul 30, 2018
Solution : $2x^2-6x+3$The discriminate value $b^2-4ac$ is $6^2-4 \times 2 \times 3$$\qquad=36-24$Hen...
0
votes
Two consecutive positive multiples of three have a product of 54. What is the sum of the two numbers ?
answered
Jul 30, 2018
Solution : $x(x+3)=54$$x^2+3x-54=0$On factoring $(x+9)(x-6)=0$Since we cannot consider $x=-9$ let us...
0
votes
Which value of $x$ will make the fraction undefined ?
$\qquad \qquad \qquad \large\frac{x^2}{9x^2-1}$
answered
Jul 30, 2018
Solution : To make the fraction undefined $9x^2-1=0$=> $9x^2=1$=> $x^2=\large\frac{1}{9}$=>...
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votes
The square of a number is equal to two less than three times the number. What the two possible values of the number ?
answered
Jul 30, 2018
Solution : $x^2=3x-2$=> $x^2-3x+2=0$=> $(x-2)(x-1)=0$=> $x=2,1$
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votes
If $3t^2+4t+1=0$, what can be the value for $5t+3$ ?
answered
Jul 30, 2018
Solution : $3t^2+4t+1=0$=> $3t^2+3t+t+1=0$=> $3t(t+1)+1(t+1)=0$=> $(3t+1)(t+1)=0$=> $3t=...
0
votes
Reduce : $\large\frac{x^2-9x+20}{x^2-x-12}$
answered
Jul 30, 2018
Solution : $x^2-9x+20=(x-4)(x-5)$$x^2-x-12=(x-4)(x+3)$$\large\frac{x^2-9x+20}{x^2-x-12}=\frac{(x-4)(...
0
votes
The solution for the quadratic equation $3n^2-2n=-1+2n^2$ is
answered
Jul 30, 2018
Solution : $3n^2-2n=-1+2n^2$=> $n^2-2n+1=0$=> $(n-1)^2=0$=> $n=1$
0
votes
Simplify : $\large\frac{21t+5+4t^2}{5t+25}$
answered
Jul 30, 2018
Solution : $4t^2+21t+5=4t^2+20t+t+5$=4t(t+5)+1(t+5)" role="presentation" style="position: relative;"...
0
votes
An ion $Mn^{a+}$ has the magnetic moment equal to 4.9bm. What is the value of a ?
answered
Jul 30, 2018
Since Magnetic moment = n(n+2)=√n(n+2)= 4.9$\therefore$ n= 4(where n is no. of unpaired electron)Thu
0
votes
The energy of second Bohr orbit of hydrogen atom is $-328\;kJ mol^{-1}$ , hence energy of fourth Bohr orbit would be
answered
Jul 30, 2018
Solution : $E_n= \large\frac{E_1}{n^2}$$E_2= \large\frac{E_1}{(2)^2}$$=-328\;kJ \;mol^{-}$$E_1=-328 ...
0
votes
A bulb emits light of wavelength $4500\;A$ . The bulb is rated as $150\;walt$ and $8\%$ of the energy is emitted as light. How many photons are emitted by the bulb per second .
answered
Jul 30, 2018
Solution : A 150 watt bulb emits 150 J of the energy The energy emitted by the bulb as light$\qquad=...
0
votes
A certain particle carries $2.5 \times 10^{-16}\;C$ of static electric charge. Calculate the number of electrons present in it .
answered
Jul 30, 2018
Solution : Charge carried by one electron $=1.6022 \times 10^{-19}\;C$$\therefore $ Electrons presen...
0
votes
The electron of the same orbitals can be distinguished by
answered
Jul 27, 2018
Solution : (c)spin quantum number
0
votes
Find the wavelength of 100 g particle moving with velocity $100 ms^{-1}$
answered
Jul 27, 2018
Solution : $\lambda = \large\frac{h}{mv}$$\qquad= \large\frac{6.626 \times 10^{-34} \;kg\;m^2s^{-1}}...
0
votes
A moving electron has $5 \times 10^{-25}$ joules of kinetic energy. What is the de-Brogile wavelength ?
answered
Jul 27, 2018
Solution : Mass of the electron $ m=9.1 \times 10^{-31}\;kg$$K.E=\large\frac{1}{2}$$mv^2=5 \times 10...
0
votes
Sodium street lamp gives off a characteristic yellow light of wave length $588\;nm$ calculate the energy mole (in KJ/mol) of these photons .
answered
Jul 27, 2018
Solution : $E=N_0hv =N_0h \large\frac{c}{\lambda}$$\qquad= \large\frac{6.02 \times 10^{23} \times 6....
0
votes
Calculate the wave number for the shortest wavelength transition in the Balmer series of atomic hydrogen .
answered
Jul 27, 2018
Solution : The shortest wavelength transition corresponds to $n_2 \infty$ to $n_1=2$ transition . $\...
0
votes
Calculate the wavelength and energy of radiation emitted for the electronic transition from infinity to stationary state on of the hydrogen atom .
answered
Jul 27, 2018
Solution : $\large\frac{1}{\lambda}$$=109678 \bigg[\large\frac{1}{n_1^2}-\frac{1}{n_2^2}\bigg]$$\qqu...
0
votes
Maximum number of electrons in a subshell with $f=3$ and $n=4$
answered
Jul 26, 2018
Solution : n represent the main energy level and f represents the subshellIf $n=4$ and $l=3$ the sub...
0
votes
If $n=6$, the correct sequence for filling of electrons will be
answered
Jul 26, 2018
Solution : $ns \to (n-s)f \to (n-1)d \to np$$6s \to 4f \to 5d \to 6p$ for $n=6$
0
votes
The total number of atomic orbitals in fourth energy level of an atom is
answered
Jul 26, 2018
Solution : Number of atomic orbital is an orbit is given by $=n^2=4^2=16$The number of atomic orbita...
0
votes
The correct set of four quantum number for the valence electron of rubidium atom $(Z=37)$ is :
answered
Jul 26, 2018
Solution : $_{37}Rb=_{36} [Kr]5s^1$Its valance electron is $5s^1$So, $n= 5,l=0$$m=0$$s= +\large\frac...
0
votes
The ratio of the difference in energy between the first and second Bohr orbit to that between the second and the third Bohr orbit is
answered
Jul 26, 2018
Solution : $E_1-E_2=1312 \times Z^2 \bigg(\large\frac{1}{1^2}-\frac{1}{2^2}\bigg)$$=1312 \times Z^2\...
0
votes
If the quadratic eqaution $y= 3(x+5)^2+12$ is written in the standard form what is the value of $c$ ?
answered
Jul 26, 2018
Solution : $y=3(x^2+10x+25)+12$=> $y= 3x^2+30x+75+12$=> $y=3x^2+30x+87$
0
votes
Which of the following are the roots of the equation $x^2+8x+12=0$ ?
answered
Jul 26, 2018
Solution : $x^2+8x+12=0$$x= \large\frac{-b \pm \sqrt{b^2-4ac}}{2a}$$\quad= \large\frac{-8 \pm \sqrt{...
0
votes
If $x=-2$ when $x^2-2px+p^2=0$ what is the value of $p$ ?
answered
Jul 26, 2018
Solution : $(-2)^2-2p(-2)+p^2=0$$4+4p+p^2=0$=> $(P+2)^2=0$=> $P=-2$
0
votes
The factored form of a quadratic polynomial is $y=(2x-3)(x+5)$. What are the solutions to the equation $y = 0$ ?
answered
Jul 26, 2018
Solution : $ y = 0 $$(2x-3)(x+5)=0$if $2x-3=0$ => $ x= \large\frac{3}{2}$if $x+5=0$ => $ x= -5...
0
votes
If $x^2-x=30$, what is the value of $x-2$?
answered
Jul 26, 2018
Solution : $x^2-x-30=0$=> $x^2-6x+5x+30=0$=> $x(x-6)+5(x-6)=0$=> $(x+5)(x-6)=0$When $x=-5,x...
0
votes
If $2x-5 \sqrt x+9=16$ then $5 \sqrt x-15=$
answered
Jul 26, 2018
Solution : $2x-5 \sqrt x+9=16$Put $\sqrt{x}=a$ $x=a^2$Hence the equation can be written as=> $2a^...
0
votes
The equation $\large\frac{1}{4}$$(4x^2-8x-p)=132$, is satisfied. When $x=+8$ and $x=-6$. What is the value of $\large\frac{p}{4}$ ?
answered
Jul 26, 2018
Solution : $\large\frac{1}{4} $$(4x^2-8x-p)=132$=> $x^2-2x- \large\frac{p}{4}$$=132$=> $x^2-2x...
0
votes
Which one of the following ions has electronic configuration $[Ar]3d^6?$
answered
Jul 25, 2018
Solution : $Ni^{3+}(28)=[Ar]3d^7$$Mn^{3+}(25)=[Ar]3d^4$$Fe^{3+}(26)=[Ar]3d^5$$Co^{3+}(27)=[Ar]3d^6$
0
votes
Deuterium nucleus contains
answered
Jul 25, 2018
Solution : Deuterium an isotope of hydrogen , is $_1 H^{2}$Thus it contains 1 proton and $1(2-1)$ ne...
0
votes
Calculate the Broglie wavelength of an electron moving with 1% of the speed of light ?
answered
Jul 25, 2018
Solution : According to be Brogile equation $\lambda= \large\frac{h}{mv}$Mass of electron $=9.1 \tim...
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