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101.

Velocity of a wave in a wire is v when tension in it is `2.06 × 10^4 N`. Find value of tension in wire when velocity of wave become `v/2`.A. `5.15 xx 10^(3)N`B. `30.5 xx 10^(4)N`C. `2.50 xx 10^(4)N`D. `10.2 xx 10^(2)N`

Answer» Correct Answer - A
102.

Select the correct statements among the followingsA. LiCl does not dissolve in pyridineB. Li does not react ethyne to form ethynideC. Li and Mg react slowly with waterD. Among alkali metals Li has highest hydration tendency.

Answer» Correct Answer - A
103.

Given `K_(sp)` for `Cr(OH)_3` is `6 xx 10^(-31)` then determine `[OH^- ]`. (Neglect the contribution of `OH^-` ions from `H_2O`)A. `(18 xx 10^(-31))^(1/4) M`B. `(18 xx 10^(-31))^(1/2) M`C. `(6 xx 10^(-31))^(1/4) M`D. `(27 xx 10^(-31))^(1/4) M`

Answer» Correct Answer - A
104.

A particle starts from the origin at `t=0` with an initial velocity of `3.0hati` m/s and moves in the x-y plane with a constant cacceleration `(6.0hati+4.0hatij)m//s^(2).` The x-coordinate of the particle at the instant when its y-coordinates is 32 m is D meters. The value of D is :A. 60B. 32C. 40D. 50

Answer» Correct Answer - 1
105.

There are two compounds A and B of molecular formula `C_(9)H_(18)O_(3)`. A has higher boiling point than B.What are the possible structures of A and B?A. B. C. D.

Answer» Correct Answer - C
106.

Tow monomers in maltose are :A. `alpha` - D glucose and `alpha` -D- glucoseB. `alpha` - D -glucose and `beta` -D- glucoseC. `alpha` - D -glucose and `beta` -D- FrutoseD. `alpha` - D -glucose and `beta` -D- galactose

Answer» Correct Answer - A
107.

The major product oFIGURE the FIGUREollowng reaction is: A. B. C. D.

Answer» Correct Answer - D
108.

Given `K_(sp)` for `Cr(OH)_3` is `6 xx 10^(-31)` then determine `[OH^- ]`. (Neglect the contribution of `OH^-` ions from `H_2O`)A. `(2.22 xx 10^(-31))^(1//4)`B. `(4.86 xx 10^(-29))^(1//4)`C. `(18xx10^(-31))^(1//4)`D. `(18xx10^(-31))^(1//2)`

Answer» Correct Answer - C
109.

Rate of a reaction increases by `10^6` times when a reaction is carried out in presence of enzyme catalyst at same temperature. Determine change in activation energy.A. `-6(2.303)RT`B. `+6(2.303)RT`C. `+6RT`D. `-6RT`

Answer» Correct Answer - A
110.

EFIGUREFIGUREective capacitance oFIGURE parallel combination oFIGURE two capacitors `C_(1) and C_(2)` is `10muFIGURE`. When the capacitors are individually connected to a voltage source oFIGURE 1V, the energy stored in the capacitor `C_(2)`. IFIGURE these capacitors are connected in series, their eFIGUREFIGUREective capacitor will be: ltA. `3.2muF`B. `4.2muF`C. `1.6muF`D. `8.4muF`

Answer» Correct Answer - 3
111.

Following vanderwaal forces are present in ethyl acetate liquidA. Dipole-dipole and hydrogen bondingB. London dispersion and dipole-dipoleC. London dispersion, dipole-dipole and hydrogen bondingD. hydrogen bonding and London dispersion

Answer» Correct Answer - B
112.

The strength oFIGURE an aqueous NaOH solution is most accurately determined by titrating: (Note: consider that an appropriate indicator is used)A. Aq. NaOH is a volumetric FIGURElask and concentrated `H_(2)SO_(4)` in a conical FIGURElask.B. Aq. NaOH in a burette and concentrated `H_(2)SO_(4)` in a conical FIGURElask.C. Aq, NaOH in a buretter and aqueous oxalic acid in a conical FIGURElask.D. Aq. NaOH in a pipette and aqueous oxallic acid in a burette.

Answer» Correct Answer - d
113.

Find percentage nitrogen by mass in Histamine?

Answer» Correct Answer - 37.84
114.

Given a solution of `HNO_3` of density 1.4 g/mL and 63% w/w. Determine molarity of `HNO_3` solution.

Answer» Correct Answer - 14
115.

Correct IUPAC name of ` [ Pt ( N H _ 3 ) _ 2 ) Cl ( CH _ 3 NH _ 2 ) ]Cl ` is :A. Bis (ammine )chloride (methylamine ) paltinium (II) chlorideB. Diamminechlorido ( methylamine ) platinium (II) chlorideC. Diamminechlorido ( aminomethyl ) platinium (II) chlorideD. Chloridobis (ammine ) methylamineplatinium (II) chloride

Answer» Correct Answer - B
116.

Correct order of electron gain enthalpy (Kj/mole) of F, Cl, Br, IA. `-296,-325,-333,349`B. `-333,-349,-325,-296`C. `-349,-333,-325,-296`D. `-325,-333,-349,-296`

Answer» Correct Answer - B
117.

Correct IUPAC name of ` [ Pt ( N H _ 3 ) _ 2 ) Cl ( CH _ 3 NH _ 2 ) ]Cl ` is :A. Bis (ammine )chloride (methylamine ) paltinium (II) chlorideB. Diamminechlorido ( methylamine ) platinium (II) chlorideC. Diamminechlorido ( aminomethyl ) platinium (II) chlorideD. Chloridobis (ammine ) methylamineplatinium (II) chloride

Answer» Correct Answer - B
118.

Correct order of Intermoleuclar forcesA. `"Dipole"-"Dipole" gt "Ion" -"Ion"gt "Dipole"-"Ion"`B. `"Ion" -"Ion" gt "Dipole"-"Dipole"-"Ion"`C. `"Dipole"-"Ion"gt"Dipole"-"Dipole"-"Ion"-"Ion" `D. `"Ion"-"Ion" gt "Dipole"-"Ion"gt"Dipole"-"Dipole"`

Answer» Correct Answer - D
119.

`E_(Cu^(2+)//Cu)^(@)=0.34V` `E_(Cu^(+)//Cu)^(@)=0.522V` `E_(Cu^(2+)//Cu^(+))^(@)=`A. ` + 0.158 V `B. ` -0.182 `VC. ` -0.158 ` VD. `0.182 ` V

Answer» Correct Answer - 1
120.

The number of orbitals associated with quantum numbers n =5, ` m _ s = + ( 1 ) /(2) ` is :A. 15B. 50C. 25D. 11

Answer» Correct Answer - c
121.

n = 5 , ` m _ s = + ( 1 ) /(2 ) ` How many orbitals are possible :A. 25B. 30C. 50D. 35

Answer» Correct Answer - A
122.

Number of `sp^2` hybrid orbitals in Benzene isA. 24B. 6C. 12D. 18

Answer» Correct Answer - D
123.

Number of `sp^2` hybrid orbitals in Benzene isA. 18B. 24C. 6D. 12

Answer» Correct Answer - A
124.

The correct order of the calculated spin - only magnetic moments of complexes (A) to (D) is : (A) `Ni(CO)_(4)`(B) `[Ni(H_(2)O)_(6)]Cl_(2)` (C) `Na_(2)[Ni(CN)_(4)]` (D) `PdCl_(2)(PPh_(3))_(2)`A. `(A)~~ (C) lt (B) ~~(D)`B. `(C)~~ (D) lt (B) lt (A)`C. `(C)lt (D) lt (B) lt(A)`D. `(A)~~ (C) ~~ (D) lt(B)`

Answer» Correct Answer - 4
125.

In which of the following Saytzeff product will not be formed as major product? A. Only CB. Only BC. A,C and DD. B & D

Answer» Correct Answer - A
126.

Determine the amount of NaCl to be dissolved in 600g `H_(2)O` to decrease the freezing point by `0.2^@ C`. Given : `k_f` of `H_(2)O = 2 km^(-1)` . Density of `H_(2)O(l) = 1 g/ml`

Answer» Correct Answer - 01.76 gram
127.

If in a meter bridge experiment, the balancing length `l` was 25 cm for the situation shown in the figure. If the length and diameter of the of wire of resistance R is made half, then find the new balancing length in centimetre is

Answer» Correct Answer - 40
128.

If in a meter bridge experiment, the balancing length `l` was 25 cm for the situation shown in the figure. If the length and diameter of the of wire of resistance R is made half, then find the new balancing length in centimetre is

Answer» Correct Answer - 40
129.

Given complex `[Co(NH_3)_4Cl_2]`. In it if `Cl - Co - Cl` bond angle is `90^@` then it is :A. Cis-isomerB. Trans- isomersC. Meridional and transD. Cis and trans both

Answer» Correct Answer - A
130.

if ` y sqrt(1-x^2) = k - x sqrt(1-y^2)` and `y(1/2) = -1/4`, then `(dy)/(dx) at x = 1/2`A. `(sqrt(5))/(2)`B. `-(sqrt(5))/(2)`C. `(2)/(sqrt(5))`D. `-(sqrt(5))/(4)`

Answer» Correct Answer - `B`
131.

Let y(x) is solution of differential equation `(y^2 – x) (dy)/(dx)` = 1 and y(0) = 1, then find the value of x where curve cuts the x-axiA. `-e`B. `2-e`C. 2D. `2+e`

Answer» Correct Answer - `B`
132.

Let both root of equation `ax^2 - 2bx + 5 = 0` are `α` and root of equation `x^2 - 2bx - 10 = 0` are `α` and `β` . Find the value of `α^2` + `β^ 2`A. 24B. 28C. 26D. 25

Answer» Correct Answer - `D`
133.

If `.^25 C_0 + 5 .^25 C_1 + 9 .^25 C_2 .... 101 .^25 C_25 = 2^(25) k` find k = ?

Answer» Correct Answer - `51`
134.

If the distance between the plane 23x-10y-2z+48 =0 and the plane containing the lines `(x+1)/2 =(y-3)/4= (z+1)/(3)` and `(x+3)/(2)=(y+2)/6 = (z-1)/(lambda)(lambda in R)` is equal to `k/sqrt(633)` , then k is equal to __________.

Answer» Correct Answer - `3`
135.

An unsaturated hydrocarbon X absorbs tow hydrogen molecules on catalytic hydrogenation, and also give following reaction: `X overset(O_(3))underset(Zn//H_(2)O)to Aoverset([Ag(NH_(3))_(2)]^(+))to` B - oxo -hexanedicbroxylic acid) X will be :A. B. C. D.

Answer» Correct Answer - b
136.

Three waves of same intensity `(I_0)` having initial phases ` 0, pi/4 , - pi/4 ` rad respectively interfere at a point. Find the resultant IntensityA. `5.8 I_(0)`B. `0.2 I_(0)`C. `3 I_(0)`D. `I_(0)`

Answer» Correct Answer - 1
137.

Let probability distribution is `[[x_i,:,1, 2, 3, 4, 5], [p_i,:,k^2, 2k, k, 2k, 5k^2]]` then value of `p(x gt 2)` isA. `7/12`B. `1/36`C. `1/6`D. `23/36`

Answer» Correct Answer - D
138.

If `(dy)/dx = (xy)/(x^2 + y^2), y(1) = 1` and `y(x) = e` then `x =`A. `(sqrt3/2)e`B. `sqrt3e`C. `sqrt2e`D. `e/sqrt2`

Answer» Correct Answer - B
139.

If `f(x) = |[x+a,x+2,x+1],[x+b,x+3,x+2],[x+c,x+4,x+3]|` and `a - 2b + c = 1` thenA. `f(50) = 1`B. `f(-50) = -1`C. `f(50) = 501`D. `f(50) = -501`

Answer» Correct Answer - A
140.

If `f(x) = |[x+a,x+2,x+1],[x+b,x+3,x+2],[x+c,x+4,x+3]|` and `a - 2b + c = 1` thenA. f(50)=1B. f(-50)=501C. f(50)=-501D. f(-50)=-1

Answer» Correct Answer - `A`
141.

F(x) = `{( (sin(a+2)x + sin x)/x , x lt 0), (b , x = 0), (((x + 3x^2 )^(1/3) - x^(1/3))/x^(4/3)), x gt 0):}` Function is continuous at x = 0, find `a + 2b`.A. `-1`B. `0`C. `1`D. `-2`

Answer» Correct Answer - B
142.

`int((d(theta))/((cos^2 theta)(sec(2theta) + tan(2theta)))) = lambda tantheta + 2logf(x) + c`, then ordered pair `(lambda, f(x))` isA. `(-1,1 - tan theta )`B. `(1,1 - tan theta )`C. `(-1,1+ tan theta )`D. `(1, 1+ tan theta )`

Answer» Correct Answer - `C`
143.

Consider, two ideal diatomic gases A and B at some temperature T. Molecules of the gas A are rigid, and have a mass m. Molecules of the gas B have an additional vibrations mode, and have a mass `m/4`. The ratio of the specific heats (`C_(V)^(A)` and `C_(V)^(B)`) of gas A and B, respectively is:A. `7:9`B. `3:5`C. `5:9`D. `5:7`

Answer» Correct Answer - D
144.

Let `a_n` is a positive term of a GP and `sum_(n=1)^100 a_(2n + 1)= 200, sum_(n=1)^100 a_(2n) = 200`, find `sum_(n=1)^200 a_(2n) =` ?A. 300B. 150C. 175D. 225

Answer» Correct Answer - B
145.

Let probability distribution is `[[x_i,:,1, 2, 3, 4, 5], [p_i,:,k^2, 2k, k, 2k, 5k^2]]` then value of `p(x gt 2)` isA. `1/6`B. `7/12`C. `1/36`D. `23/36`

Answer» Correct Answer - `D`
146.

`lambda x + 2y + 2z = 5, 2lambda x + 3y + 5z = 8, 4x + lambda y + 6z = 10` for the system of equation check the correct option.A. no solution when `lamda=8`B. no solution when `lamda=2`C. a unique solution when `lamda=-8`D. infinitley many solutions when `lamda=2`

Answer» Correct Answer - B
147.

Consider a mixture of n moles of helium gas and 2n moles of oxygen gas (molecules taken to be rigid) as an ideal gas. Its `C_(p)//C_(y)` value will be:A. `40//27`B. `67//45`C. `19//13`D. `23//15`

Answer» Correct Answer - 3
148.

Find number of real roots of equation `e^(4x) + e^(3x) - 4e^(2x) + e^(x) + 1 = 0` isA. `2`B. `3`C. `4`D. `1`

Answer» Correct Answer - 4
149.

Let `alpha =(-1+isqrt3)/(2). `If `a=(1+alpha) sum_(k=0)^(100) alpha^(2k)and b=sum_(k=0)^(100) alpha^(h3k),` then, a and b are the roots of the quadrartic equation :A. `X^(2)-102X+101=0`B. `X^(2)+102X+101=0`C. `X^(2)+101+100=0`D. `X^(2)=101X+100=0`

Answer» Correct Answer - A
150.

If sum of all the coefficient of even powers in `(1-x+x^(2)-x^(3)....x^(2x))(1+x^()+x^(3)....+x^(2n))` is 61 then n is equal toA. 30B. 22C. 28D. 36

Answer» Correct Answer - A