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24951.

The rapiddepletion of fossil fuels has inspiredextensive research in the area of alternative and renewale energy sources. Of these, hydroden is the most Contemplated fuel of the future . Howevercost effective production and hazard free storage are major issuses is using H_(2) (Note : use the data in table-1 given at the end of partA,whenever necessary.) 1kg of hydrogen is burnt with oxgyen at 25^(@)C and the heat energy is used for different purpose . Using this heat calculate (i) the maximum theoretical work. (ii) work that can be produced by a heat engine working between 25^(@)Cto 300^(@) C. (The efficiency of a heat engine =work done /heat absorbed =[1-9T_("low")//T_("high")] where T is in K)

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SOLUTION :N//A
24952.

The rapiddepletion of fossil fuels has inspiredextensive research in the area of alternative and renewale energy sources. Of these, hydroden is the most Contemplated fuel of the future . Howevercost effective production and hazard free storage are major issuses is using H_(2) (Note : use the data in table-1 given at the end of partA,whenever necessary.) Assuming complete combustion, calculate heat of combustion when (i)1 g of hydrogen and (ii) 1 g of carbon are burnt.

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SOLUTION :N//A
24953.

The rapiddepletion of fossil fuels has inspiredextensive research in the area of alternative and renewale energy sources. Of these, hydroden is the most Contemplated fuel of the future . Howevercost effective production and hazard free storage are major issuses is using H_(2) (Note : use the data in table-1 given at the end of partA,whenever necessary.) A cylinder contains hydrogen at a pressure of 80Moa at 25^(@)C , Assuming ideal behaviour , Calculate the density of hydrogen in the cylinder in Kg//m^(3) .

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SOLUTION :N//A
24954.

The rapid change of pH near the stoichiometric point of an acid-base titration is the basis of indicator detection. The pH of the solution is related to ratio of the concentration of the conjugate acid (Hin) and base (In^(-)) forms of the indicator by the expression

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`"log"([In^(-)])/([HIN])=pK_(In)-PH`
`"log"([HIn])/([In])=pK_(In)-pH`
`"log"([HIn])/([In^(-)])=pH-pK_(In)`
`"log"([In^(-)])/([HIn])=pH-pK_(In)`

ANSWER :B
24955.

The rapid change of pH near the stoichiometricpoint of an acid-base titration is the basis of indicator detection. pH of the solution is related to ratio of the concentration of the conjugate acid (Hin) and base [H^(+)] = 10^(-7) + 10^(-8) = 10^(-7)[1+0.1] forms of the indicator by the expression

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`LOG.([HIn])/([In^(-)]) = PH - pK_(In)`
`log.([In^(-)])/([HIn]) = pH - pK_(In)`
`log.([In^(-)])/([HIn]) = pK_(In) - pH`
`log.([HIn])/([In^(-)]) = pK_(In) - pH`

Answer :B
24956.

The rank of a cubic unit cell is 4. The type of cell as- (A) Body centred (B) Face centred (C) Primitive (D) None

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Solution : (B)
The NUMBER of atoms PRESENT in sc, fcc and BCC unit CELL are 1, 4, 2 respectively.
24957.

The range of radius ratio (cationic to anionic) for an octahedral arrangement of ions in an ionic solid is

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`0-0.155`
`0.155-0.225`
`0.255-0.414`
`0.414-0.732`

SOLUTION :For OCTAHEDRAL ` R^(+)//r^(-)=0.414-0.732`.
24958.

The rank of a cubic unit cell is 4. The type of cell as:

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BODY centred
Face centred
Primitive
None

Answer :B
24959.

The rank (effective atoms per unit cell) of a cubic unit cell is 4. The type of cell as-

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Body centred
FACE centred
PRIMITIVE
NONE of these

Answer :B
24960.

The range of phin which methyl orange works as indicator:

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3-4
10-12
8-10
6-8

Answer :A
24961.

The range of microbes attackedby antibiotics is known as

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spectrum
bands
bactiria
all of these

ANSWER :A
24962.

The radius of ""_(Z) M^(A) nucleus is (outer most configuration 3s^(2) 3p^(1) and A + Z = 40)

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4.2 FM
`1.4 XX root340 FM`
`1.4 xx ROOT2 40 FM`
`1.4 xx 40` F M

Solution :`r = r_0 (A^(1//3)) 1.4 xx (27)^(1//3) = 1.4 xx 3 = 4.2`
24963.

The random, zig-zag motion of colloidal particles in the dispersion medium is referred to Electrophoresis as.....

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ELECTROPHORESIS
Brownian movement
TYNDALL effect
ELECTRO OSMOSIS

SOLUTION : Brownian movement
24964.

The radius ratio of the cation to the anion of an ionic compound is 0.4. Its structural arrangement is

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PLANAR TRIANGULAR
Tetrahedral
Octahedral
Body-centred cubic

Solution :As radius RATIO lies inthe range `0.225-0.414`,C . N . = 4 and arrangement is tetrahedral .
24965.

The range of methyl orange as an indicator is in between pH

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`6-8`
`8-9`
`3-5`
`2-4`

SOLUTION :As METHYL ORANGE is a WEAK BASE.
24966.

The radius r of an atom in a body-centred cubic is given by

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`r=(SQRT(3))/(2)a`
`r=(4)/sqrt(3a)`
`r=(sqrt(3))/(4)a`
`r=(4A)/sqrt(3)`

Answer :C
24967.

the radius of which of the following orbit is same as that of the first Bohr's orbit of hydrogen atom?

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`Be^(3+) (n=2)`
`He^(2+) (n=2)`
`Li^2+ (n=2)`
`Li^2+ (n=3)`

ANSWER :A
24968.

The radius of water molecule having density 1g mL^(-1) is:

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1.925 `OVERSET(@)A`
73.46 `overset(@)A`
19.25 `overset(@)A`
7.346 `overset(@)A`

ANSWER :A
24969.

The radius of the second Bohr orbit for hydrogen atom is (Planck's constant (h) - 6.6262 xx 10^(-34)Js, mass of electron = 9.1091 xx 10^(-31) kg, charge of electron (e) = 1.60210 xx 10^(-19)C, permitivity of vacuum (in_(0)) = 8.854185 xx 10^(-12) kg^(-1) m^(-3) A^(2))

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`1.65 Å`
`4.76 Å`
`0.529 Å`
`2.12 Å`

ANSWER :C
24970.

The radius of the largest sphere which fits properly at the centre of the edge of the bodycentred cubic unit cell is ………….. (Edge length is represented by "a")

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0.134 a 
0.027 a 
0.067 a 
0.047 a 

Solution :For a body centred unit CELL : `sqrt(3)a = 4R`...(i)
EDGE length `(a)= 2(R + r)`
`a/2 = R + r` .. (II)
On SOLVING (i) and (ii)
`r = ((2 - sqrt(3))/(4)) a`
` implies` r = 0.067 a
24971.

The radius of Na^+ is 95 pm and Cl^- ion 181 pm. Find co-ordination number of Na^+ ion.

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4
6
8
Unpredictable

Answer :B
24972.

The radius of the first Bohr orbit of hydrogen atom is r. The radius of the 3rd orbit would be

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3r
9r
27r
none of these

Answer :B
24973.

The radius of second Bohr orbit for hydrogen atom is (h= 6.6262 xx 10^(-34)Js, mass of electron =9.1091 xx 10^(-31)kg, charge e= 1.60210 xx 10^(-19)C, permitivity of vacuum, in_(0)= 8.854185 xx 10^(-12)kg^(-1) m^(-3) A^(2))

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`1.65 Å`
`4.76 Å`
`0.529 Å`
`2.12 Å`

Solution :`r= (in_(0)n^(2)H^(2))/(pi m E^(2)z), 1 Å= 10^(-10)m`
24974.

The radius of Na^(+) ion is 95 pm and that of Cl^(-) ion is 181 pm. Predict the structure of Na^(+)Cl^(-) and the coordination number of cation.

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Solution :`(r_(Na^(+)))/(r_(CL^(-)))=(95)/(181)= 0.524`
Since the RADIUS ratio lies between 0.414-0.732, the structure will be OCTAHEDRAL with coordination NUMBER 6.
24975.

The radius of Li^(+) ion is 60 pm and that of F^(-) is 136 pm. Structure of LiF and coordination number is

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LIKE NaCl, C.No.=6
Like CsCl,C. No=8
Anti fluoride, C. No=8
None of these

Solution :`(R^(+))/(r^(-))` ratio is `(60)/(13.6)=0.441`. HENCE LiF has NaCl STRUCTURE with C.N.=6
24976.

The radius of La^(3-) (at. No. 57) is 1.06 Å, Which one of the following given values will be closest to the radius of Lu^(3-) (at. No. 71)?

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1.60 A
1.40 A
1.06 A
0.85 A

Solution :SINCE ionic RADII of lanthanoids decrease along the SERIES then ionic radii of `Lu^(3+)(Z=71)` must be much SAMMER than that of `La^(3+)` (atomic NUMBER 57). Hence ionic radii of `Lu^(3+)` should be close to `0.85Å`.
24977.

The radius of La^(3+) (At No. of La = 57) is 1.06Å. Which one of the following given value will be closest to the radius fo Lu^(3+) (Atomcic NO. ofLu = 71) ?

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`1*40Å`
`1*06Å`
`0*85Å`
`1*60Å`

Solution :Due to lanthanoid contraction, the ionic RADII of LANTHANOIDS decreases from `La^(3+)` to `LU^(3+)`. Therefore, the lowest value (0.85 Å) is the ionic radius of `Lu^(3+)`
24978.

The radius of Bohr's first orbit in H atom is 0.053 nm. The radius of second orbit in He^+ would be:

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0.0265 nm
0.0530 nm
0.1060 nm
0.2120 nm

Answer :C
24979.

The radius of atom is 300 pm. If it crystallizes in a face-centred cubic lattice, calculate the distance between nearest neighbour.

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ANSWER :600 PM
24980.

The radius of an ion in a body-centred cube of edge a is:

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`a/2`
`(SQRT(2)a)/4`
`(sqrt(3)a)/4`
NONE ofthese

Answer :C
24981.

The radius of an atom is 300pm, if it crystallizes in a face centered cubic lattice, the length of the edge of the unit cell is …………….. .

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488,5 on
848,5 on
884,5 on
484.5 on

Solution :Hint : `"Let EDGE LENGTH"=asqrt2a=4r`
`a=(4xx300)/(SQRT2)`
`a=600xx1.414""a=848.4" PM"`
24982.

The radius of a hydrogen atom is 5.32 xx10^(-11) mand the radius of a proton at the centre is 1.5 xx 10^(-5)m. The ratio of the radius of the atom to the radius of proton is :

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`3.5 xx 10^(-6)`
`3.54 xx 10^(-6)`
`3.55 xx 10^(-6)`
`4 xx 10^(-6)`

Solution :`("RADIUS of atom")/(Radius of proton")= (5.32 xx 10^(-11))/(1.5 xx 10^(-5) )`
` = 3.5 xx 10^(-6) `
ANSWER is reported UPTO 2 significant figures as in 1.5
24983.

The radius of Ag^+ ion is 126 pm while that of I^- ion is 216 pm . The coordination number of Ag in Agl is :

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2
4
6
8

Answer :C
24984.

The radius of A^(+) is 0.95 Å andof B^(-) is 1.81 Å. The coordination number of A^(+) is :

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4
6
8
2

Solution :`( r_(A^(+)))/( r_(B^(-))) = ( 0.95)/( 1.81 ) = 0.523`
SINCE RADIUS ratio `( r^(+) // r^(-))`lies between 0.414 - 0.732 , the coordination NUMBER is 6.
24985.

The radioisotpe, tritum (._(1)^(3)H) has a half-life of 12.3 years. If the initial amount of tritium is 32 mg, how many milligrams of it would remain after 49.2 years

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8 mg
1 mg
2 mg
4 mg

Solution :`N_(t) = N_(0) ((1)/(2))^(n) = 32 xx ((1)/(2))^(49.2//12.3)= 32 xx ((1)/(2))^(4) = 2`
24986.

The radius of a calcium ion is 94 pm and of the oxide ion is 146 pm. The possible crystal structure of calcium oxide will be

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tetrahedral
trigonal
octahedral
pyramidal

Solution :As per formula,
radius ratio`=("radius of cation")/("radius of anion")`
`=(94)/(146)=0.643`
Since the value is between 0.414 - 0. 732 hence thecoordination no. will be 6 and GEOMETRY will beoctahedral
24987.

The radium and uranium atoms in a sample of uranium mineral are in the ratio of 1 : 2.8 xx 10^(6). If half-life period of radium is 1620 years, the half-life period of uranium will be

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`45.3 XX 10^(9)` years
`45.3 xx 10^(10)` years
`4.53 xx 10^(9)` years
`4.53 xx 10^(6)` years

Solution :According to radioactive equilibrium `lamda_(A) N_(A) = lamda_(B) N_(B)`
or `(0.693 xx N_(A))/(t_(1//2) (A)) = (0.693 xx N_(B))/(t_(1//2) (B)) [LAMDA = (0.693)/(t_(1//2))]`
Where `t_(1//2) (A) and t_(1//2) (B)` are half periods of A and B RESPECTIVELY
`:. (N_(A))/(t_(1//2)(A)) = (N_(B))/(t_(1//2)(B)) or (N_(A))/(N_(B)) = (t_(1//2) (A))/(t_(1//2)(B))`
`:.` At equilibrium Aand B are present in the ratio of their half lives `(1)/(2.8 xx 10^(6)) = (1620)/("Half-life of uranium")`
`:.` Half-life of uranium
`2.8 xx 10^(6) xx 1620 = 4.53 xx 10^(9)` years
24988.

The radioisotope, tritium (""_(1)^(3)H) has a half-life of 12.3 years. If the initial amount of tritium is 32 mg. how many milligrams of it would remain after 49.2 years?

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1 mg
2 mg
4 mg
8 mg

SOLUTION :NUMBER of half - lives in 49.2 years = 4
`32 mg to 16 mg to 8 mg to 4 mg to 2 mg`.
24989.

The radioaisotope of hydrogen has a half-life of 12.33 y. What is the age of an old bottle of wine whose ._(1)^(3)H radiation is 10% of that present in a new bottle of wine

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41y
12.3 y
1.233 y
410 y

Answer :A
24990.

The radioisotope ""_(15)^(32)P is used in biochemical studies. A sample containing this isotope has an activity 1000 times the detectable limit. How long could an experiment be run with the sample before the radioactivity could no longer be detected ? Half-life of ""_(15)^(32)P is 14.2 days

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<P>

Solution :The minimum NUMBER of P atoms, the radioactivity of which could be detected, is one, and so the sample will initially contain 1000 atoms of P.
Thus, `(N^(0))/(N) = (1000)/(1)`
Now, `lamda= (2.303)/(t) "log" (N^(0))/(N)`
`(0.6932)/(14.2) = (2.303)/(t) "log" (1000)/(1)`
or t=141.5 DAYS
24991.

The radioactivity of uranium mineras is usually more in comparison to pure uranium. This is due to presence of … in the mineral.

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actinium
thorium
radium
plutonium

Answer :C
24992.

The radioactively due to C^(14) isotope (half-life 6000 years) of a sample of wood from an ancient tomb was found to be nearly half that of fresh wood, the tomb is therefore about

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3000 years old
6000 years old
9000 years old
1200 years old

Solution :`N = N_(0) xx ((1)/(2))^(n)`
`(1)/(2) = 1 xx ((1)/(2))^(n) , n = 1`
`t = n xxt_(1//2) = 1 xx 6000 = 6000` yrs
24993.

The radioactivity due to C-14 isotope (half-life = 6000 years) of a sample of wood form an ancient tomb was found to be nearly half that of fresh wood. The bomb is there for about how many years old?a)3000b)6000c)9000d)12000

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3000 YEARS old
6000 years old
9000 years old
12000 years old

Answer :B
24994.

The radioactive series whose end product is ._(83)^(209)Bi is

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Thorium series
Fourier series
Actinium series
Neptunium series

Solution :`._(83)^(209)BI` is the END product of Neptunium series i.e., `4N +1` (ARTIFICIAL) series
24995.

The radioactive sources A and B of half lives of t hr and 2t hr respectively, initially contain the same number of radioactive atoms. At the end of t hours, their rates of disintegration are in the ratio:

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`2sqrt(2) :1`
`1 : 8`
`sqrt(2) : 1`
ln `2 : 1`

Solution :`{:(,A=(t_(1//2)=t"HOUR")/(lambda_(1))X "",, B=(t_(t//2)=2t"hour")/(lambda_(2)),),("at " t=0,,,,),("No. of nuclei",""N_(0),,""N_(0),),(,"Nuclei of A left after time "t(t=t_(1//2)),,"Nuclei of B left after time "t,),(,=(N_(0))/(2),,=N_(0)e^(-lambda_(2)t),),(,"Rate of disintegration of A",,=N_(0)e^(-(LN2)/(2 t)t),),(,=lambda_(1)(N_(0))/(2),,=N_(0)e^(ln((1)/(2))^(1//2)),),(,=(ln 2)/(t) (N_(0))/(2),,=(N_(0))/(sqrt(2)),),(,,,"Rate of disintegration of B",),(,,,=lambda_(2)(N_(0))/(sqrt(2))=(ln2)/(2t)(N_(0))/(sqrt(2)),):}`
Ratio of rate of disintegration of A &B `=((ln2)/(t)(N_(0))/(2))/((ln2)/(2t)(N_(0))/(sqrt(2)))=(sqrt(2))/(1)`
24996.

The radioactive isotope of carbon used in radio carbon dating is :

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`""_(6)^(12)C`
`""_(6)^(13)C`
`""_(6)^(14)C`
`""_(6)^(16)C`

Answer :C
24997.

The radioactive nucleide ""_(90)^(134)Th undergoes two successive beta- deacys followed by one alpha- decay. The atomic number and mass number respectively of the resulting radionucleide is :

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94 and 230
90 and 230
92 and 230
92 and 234

Solution :`""_(92)^(234)Thoverset(2-overset(0)1E)to""_(92)^(234)Xoverset(-_(2)^(4)He)to""_(90)^(230)Y`
24998.

The radioactive isotope ._(27)^(60)Co which is used in the treatment of cancer can be made by (n,p) reaction. For this reaction the target nucleus is

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`._(28)^(60)NI`
`._(27)^(60)CO`
`._(28)^(59)Ni`
`._(27)^(59)Co`

Solution :`._(28)Ni^(6) + ._(0)n^(1) RARR ._(28)Ni^(61) rarr ._(27)Co^(60) + ._(1)p^(1)`
24999.

The radioactive decay of ._(35)X^(88) by a beta emission produces an unstable nucleus which spontaneously emits a neutron. The final product is

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`.(37)X^(88)`
`._(35)Y^(89)`
`._(34)Z^(88)`
`._(36)W^(87)`

Solution :`._(35)X^(88) overset(-BETA)RARR ._(36)W^(88) rarr ._(36)W^(87) + ._(0)n^(1)`
25000.

The radioactive decay rate of a radioactive element is found to be 10^(3) dps at a certain time . If the half life of element is 1 sec , the decay rate after 1 sec , is ….and after 3 sec , is …….

Answer»

500 , 125
125500
`10^(3) , 10^(3)`
`100 , 10`

Solution :`1000 dps overset( 1" SEC")(to) 500 overset("1SEC")(to) 250 overset("1 sec") (to) 125`