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51.

Which of the following has normal vision ?A. Xc XcB. Xc YC. XC XcD. Xc Yc

Answer» Correct Answer - C
52.

In DNA fingerprinting technique, radioactive DNA probe is obtained from ………………… of female banded krait snake.A. X chromosomeB. Y chromosomeC. X and Y chromosomesD. Autosome

Answer» Correct Answer - B
53.

Which material is used for isolation of DNA in fingerprinting technique ?

Answer» Blood, semen, hair root and tissue sample are used for isolation of DNA in DNA fingerprinting technique.
54.

Name the organism and enzyme which bring about alcoholic fermentation of sucrose.

Answer» Saccharomyces cerevisiae is the organism which produces invertase enzyme which bring about alcoholic fermentation of sucrose.
55.

Name the secondary metabolites in catharan-thus roseus.

Answer» Vincristine and Vinblastine are the secondary metabolites in Catharanthus roseus.
56.

What is a biopatent? Give any two examples. OR What is biopatent? Explain it with a suitable example.

Answer» Biopatent is a patent granted by the government to the investor for biological entities, processes and products.
Basmati rice, known for its unique aroma and flavour has been grown in India for centures. There are about 27 documented varieties of Basmati grown in India. A texas based company got patent rights on Basmati rice through the US patent and Trademark office. This allowed the company to sell a new variety of Basmati-Texmate, in the US and aboard. Actually this new variety is derived by crossing Indian Basmati with semi dwarf variety and claimed as an invention or a new variety. Thus, it is a case of bio-piracy and unfair biopatent.
57.

Name the parts W, X, Y and Z from the following figure :

Answer» The given diagram :
W = Suspensor Y = Radicle
Z = Cotyledons X = Plumule
58.

In any `DeltaABC`, prove that `a(bcosC-c cosB)=(b^(2)-c^(2))`

Answer» L.H.S. = `a(b cos C- c cos B)`
`=a[a((a^(2)+b^(2)-c^(2))/(2ab))-c*((a^(2)+c^(2)-b^(2))/(2ac))]`
`=a((a^(2)+b^(2)-c^(2)-a^(2)-c^(2)+b^(2))/(2a))`
`=(2ab^(2)-2c^(2))/(2)=(2(b^(2)-c^(2)))/(2)`
`=b^(2)-c^(2)=R.H.S`
`:.` L.H.S = R.H.S
59.

Which of the following vitamins is the vitamin of alicyclic series ?A. Vitamin CB. Vitamin KC. Vitamin BD. Vitamin A

Answer» Correct Answer - D
60.

An electron in an atom revolves around the nucleus in an orbit of radius 0.53 Å. If the frequency of revoluation of an electron is `9xx10^(9)` MHz. calculate the orbital angular momentum. [Given : Charge on an electron `=1.6xx10^(-19)C`, Gyromagnetic ratio `8.8xx10^(10)C//kg, pi =3.142`]

Answer» Given, `r=0.53 Å=0.53xx10^(-10)m.`
`f=9xx10^(9)MHz=9xx10^(15)Hz.`
Gyromagnetic ratio
`=8.8xx10^(10)C//kg`
Now, Period,
`T=(1)/(f)=(1)/(9xx10^(15))`
Current `(I)=(e )/(T)=ef`
The electron revolving in the circular orbit behaves as a current loop and hence possesses magnetic moment.
Magnetic Moment (M)
`=IA=ef xx pi r^(2)`
`therefore M=1.6 xx 10^(-19)xx9xx10^(15)x3.142xx(0.53xx10^(-10))^(2)`
`M=12.709xx10^(-24)Am^(2)`
Angular momentum (L)
`=("Magnetic Moment (M)")/("Gyromagnetic Ratio")`
`=(12.709xx10^(-24))/(8.8xx10^(10))`
`=1.444 xx 10^(-34)kg m^(2)s^(-1)`
61.

`MnO_(2) and Ca_(3)(PO_(4))_(2)` present in iron are get reduced to Mn and P in the zone of :A. Combustion `B. ReductionC. FusionD. Slag formation

Answer» Correct Answer - B
62.

`Fe^(2+)` ions react with nitric oxidwe formed from reduction of nitrate and yields a brown coloured complex:A. `[Fe(CO)_(5)NO]^(2+)`B. `[Fe(NH_(3))_(5)NO]^(2+)`C. `[Fe(CH_(3)NH_(2))_(5)NO]^(2+)`D. `[Fe(H_(2)O)_(5)NO]^(2+)`

Answer» Correct Answer - D
63.

Calculate the effective actomic number of the central metal atom in the following compounds : `{:((a) K_(4)Fe(CN)_(6),(b)Cr(CO)_(6)),(Fe(Z=26),Cr(Z=24)):}`

Answer» In a complex, the effective atomic number (EAN) of a metal atom is the total numbers of electrons present in it.
`K_(4)Fe(CN)_(6):A-O*N+2xx6`
`:26-2+2xx6:36`
`Cr(CO)_(6):Z-O*N+2xx6`
`:24-0+2xx6:36`
64.

A gas when passed through `K_(2)Cr_(2)O_(7)` and dil. `H_(2)SO_(4)` solution turns it green, the gas is :A. `CO_(2)`B. `NH_(3)`C. `SO_(2)`D. `Cl_(2)`

Answer» Correct Answer - C
65.

Calculate `DeltaH^(@)` for the reaction between ethene and water to form ethyl alcohol from the following data: `Delta_(c)H^(@)C_(2)H_(5)OH_((1))=-136kJ` `Delta_(c)H^(@)C_(2)H_(4(g))=-1410kJ` Does the calculated `DeltaH^(@)` represent the enthalpy of formation of liquid ethanol ?

Answer» `CH_(2)=CH_(2(g))+H_(2)O_((g))hArrCH_(3)CH_(2)OH_((g))`
`DeltaH=sumnH^(@)f_("products")-sumnH^(@)f_("reactants")`
`=(1xx-1368)-[(1xx(-1410)+(1xx-286))`
`=-1368-[-1410-286]`
`=-168-[-1696]`
`DeltaH=328J//mol`
No calculated value does not represent the enthalpy of formation of liquid enthanol. Standard enthalpy of formation for liquid ethanol is `-277.6kJ//mol.`
66.

How is phosphine prepard using the following reagents ? (a) `HCl` (b) `H_(2)SO_(4)` (c ) Caustic soda

Answer» (a) Calcium phosphide is mixed with dilute HCl. This results in the formation of phosphine.
`{:(Ca_(3)P_(2)+6HCl to3CaCl_(2)+2PH_(3)),(" ""Calcium" " ""Calcium"" ""Phosphine"),(" ""Phosphide"" ""chloride"):}`
(b) Aluminium phosphide is decomposed with dilute sulphuric acid.
`{:(2AlP+3H_(2)SO_(4)to2PH_(3)+Al_(2)(SO_(4))_(3)),("Aluminium"" ""Phosphine"" ""Aluminium"),("phosphide" " ""sulphate"):}`
(c) In the laboratory, phosphine is prepared by heating white phosphrus with concentrated NaOH solution in an inert atmosphere of `CO_(2).`
`P_(4)+3NaOH+3H_(2)Oto underset("Phosphine")(PH_(3))+underset("Sodium hypophosphite")(3NaH_(2)PO_(2))`
67.

0.05 M NaOH solution offered a resistance of `3.1*6Omega` in a conductivity cell at 298 K. If the cell constant of the cell si `0*367cm^(-1),` calculate the molar conductivity of NaOH solution.

Answer» Specific conductance
(k)=C Conductance `xx` Cell constant …(1)
Conductance `=1/R=(1)/(31*6ohm)`
Cell constant `=0*367cm^(-)`
Substituting the values in equation (1), we get :
`k=(1)/(31*6ohm)xx0*367cm^(-)" "...(2)`
Also, molar conduuctivity,
`Delta_(m)=(kxx1000cm^(3)L^(-))/("Concentration"(mol//L))`
`=(1)/(31*6ohm)xx`
`(0*367cm^(-)1000cm^(3)//L)/(0*0.5mol//L)`
`=232*3ohm^(-)cm^(2)mol^(-1)`
68.

Find the direction angles of the line with the X-axis which makes direction angles of `135^(@)` and `45^(@)` with Y-axes Z-axes respectively.

Answer» Let l,m,n be the direction cosines ofline L.
Let `p(x,y,z)` be any point on line L such that l `(OP)=r`
`:. Barr=bar(OP)=xhatiyhatj+zhatk`
If `alpha,beta, gamma` be the direction angles of the line OP, then `l = cos alpha, m= cos beta, n= cos gamma`
Now, `bar(OP)*hati=(xi+yj+2zk)*i=x " "...(1)`
Also, `bar(OP)* hati=|bar(OP)|.cos alpha= r cos alpha" ".....(2)`
`:.` From (1) and (2), `x= r cos alpha`
Similarly we have `y=r cos beta and z=r cos gamma.`
Consider `x^(2)+y^(2)+z^(2)=r^(2)(cos^(2) alpha+cos^(2) beta + cos^(2) gamma)`
`:. r^(2)=r^(2)(l^(2)+m^(2)+n^(2))`
`:. l^(2)+m^(2)+n^(2)=1`
Given : `beta =135^(@), gamma= 45^(@), alpha?`
We have `cos^(2)+cos^(2)(135^(@))+cos^(2)(45^(@))=1`
`:. os^(2) alpha+ (-(1)/(sqrt(2)))^(2)+((1)/(sqrt(2)))=1`
`:. cos^(2) alpha(1)/(2)+(1)/(2)=1`
`:. cos^(2)alpha=0`
`rArr alpha=90`
Thus, the direction angle of the line with X-axis is `90^(@)`
69.

Prove that:`tan^(-1)4/5+cos^(-1)(12)/(13)=cos^(-1)(33)/(65)`

Answer» Let `cos^(-1)((4)/(5))= x and cos^(-1) ((12)/(13))=y` where `0=xy le (pi)/(r)`
`:. cos x =(4)/(5) and cos y=(12)/(13)`
`:. Sin^(2) x=1 -cos^(2)x,`
`sin ^(2)y=1-cos^(2)y`
`=1-(16)/(25)=(9)/(25)`
`=1-(144)/(169)=(25)/(169)`
`:. sin x=(3)/(5)`
`:. sin y =(5)/(13)`
`:. cos (x+y)=(5)/(13)`
`:. cos (x+y)= cos x* cos y-sin x*sin y`
`=(4)/(5)xx(12)/(13)xx(3)/(5)xx(5)/(13)`
`=(48)/(65)-(15)/(65)=(33)/(65) and 0 lt x+y lt pi`
`:. x+y= cos^(-1)((33)/(65))`
`:. "cos"^(-1)(4)/(5)+cos^(-1)=(12)/(13)="cos"^(-1)(33)/(65)`
70.

Using vector method, find the incentre of the triangle whose vertices are P(0,4,0),Q(0,0,3) and R(0,4,3).

Answer» Let `barp , bar q, barr`, be the position vectro of the points P,Q,R respectively.
`:. barp= 4hatj,`
`barq=3hatk,`
`barr=4hatj+3hatk`
Consider `bar (PQ)=barq-barp=3hatk-4hatj`
`=-4hatj+3hatk`
`|bar(PQ)|=sqrt((-4)^(2)+3^(2))=sqrt(16+9)`
`sqrt(25)=5`
`|bar(PQ)|=sqrt((-4)^(2)+3^(2))=sqrt(16+9)`
`bar(QR)= bar r-barq=4hatj+3hatk-3hatk`
`=4hatj`
`|bar(QR)|=sqrt(4^(2))=4`
`bar(PR)=barr-barp=4hatj+3hatj-4hatj`
`=3hatk`
`:. |bar(PR)|=sqrt(3^(2))=3`
Let `|bar(QR)|=x=4`
`|bar(PR)|=y=3 and |bar(PQ)|`
`=z=5`
If `h(barh)` is the incentre of `Delta PQR` , then
`bar h=(xbarp+ybarq+zbarr)/(x+y+z)`
`=(4*(4hatj)+3*(3hatk)+5*(4hatj+3hatk))/(4+3+5)`
`=(16hatj+9hatk+20hatj+15hatk)/(12)`
`(36hatj+24hatk)/(12)=3hatj+2hatk`
`:. H-=(0,3,2)` is the incentre of `Delta PQR`
71.

In `triangle ABC`, if `a=13,b=14` and `c=15` , then `sin.(A)/(2)=` ...................A. `(1)/(5)`B. `sqrt((1)/(5))`C. `(4)/(5)`D. `(2)/(5)`

Answer» Given `a=13,b=14,c=15`
`s=(a+b+c)/(2)`
`=(13+14+15)/(2)=(42)/(2)`
`=21`
`"sin"(A)/(2)=sqrt(((s-a)(s-c))/(bc))`
`sqrt(((21-14)(21-15))/(14xx15))`
`sqrt((7xx6)/(14xx15))`
`=sqrt((1)/(5))`
Hence, correct answer from the given alternatives is (b)
72.

Select and write the most appropriate answer from the given alternatives in each of the following : The inverse of the matrix `{:((-1,5),(-3,2)):}` isA. `(1)/(13)[{:(2,-5),(3,-1):}]`B. `(1)/(13)[{:(-1,5),(-3,2):}]`C. `(1)/(13)[{:(-1,-3),(5,2):}]`D. `(1)/(13)[{:(1,5),(3,-2):}]`

Answer» `A=[{:(a,b),(c,d):}]`
`A^(-1)=(1)/(ad-bc)=[{:(d,-b),(-c,a):}]`
So, `[{:(1-,5),(-3,2):}],=(1)/(-2-(-15))[{:(2,-5),(3,-1):}]`
`=(1)/(13)[{:(2-,5),(3,-1):}]`
Hence, correct answer from the given alternative is (a)
73.

If the points `A(2,1,1,),B(0,-1,4)andC(k,3,-2)` are collinear, then k= . . . . . . . .

Answer» (i) Given `a(2,1,1),b(0,-1,4), c(k,3-2)`
Since theses points are collinear
`rArr AB= lambda AC`
`b-a=lambda(c-a)`
`-2hati-2hatj+3hatk= lambda[(k-2)hati+2hatj-3hatk]`
On compaing both sides, we get
`2 lambda=-2`
`rArr lambda=-1`
`lambda(k-2)=-2`
`rArr -1(k-2)=-2`
`k-2=2`
`rArr k=4`
Hene, corret answer from the given alternatives is