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InterviewSolution
This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 351. |
Fint out mole `%` of C in `CH_(4)`A. `80%`B. `20%`C. `25%`D. `75%` |
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Answer» Correct Answer - B |
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| 352. |
Determine total number of atoms in per unit formula of (A),(B) and (C) |
| Answer» Correct Answer - 18 | |
| 353. |
Which of the following is covelent in nature `(X=Cl,Br,I)`A. `BeX_(2)`B. `CaX_(2)`C. `MgX_(2)`D. `SrX_(2)` |
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Answer» Correct Answer - A |
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| 354. |
if `f(x)={{:((sin(p+1)x+sinx)/(x),xlt0),(x,x=0),((sqrt(x^(2)+x)-sqrt(x))/(x^(3//2)),xgt0):}` is continuous at `x=0` then `(p,q)` isA. `(-(1)/(2),-(3)/(2))`B. `((3)/(2),(1)/(2))`C. `((1)/(2),(3)/(2))`D. `(-(3)/(2),(1)/(2))` |
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Answer» Correct Answer - D |
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| 355. |
There are two family each having two children. If there are at least two girls amont ht children, find the probability that all children are girlsA. `(1)/(9)`B. `(1)/(10)`C. `(1)/(11)`D. `(1)/(12)` |
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Answer» Correct Answer - C |
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| 356. |
There are three points A, B and C horizontal plane, such that `AB=AC=100`m a varticaly tower is placed on the midpoint of BC, such that angle of elevation of the top of the tower from A is `cot^(-1)(3sqrt(2))` and that from B is `cosec^(-1)(2sqrt(2))` then the height of the tower isA. `25`B. `10`C. `(100)/(sqrt(3))`D. `20` |
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Answer» Correct Answer - D |
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| 357. |
The order and degree of differential equation of all tangent lines to parabola `x^2=4y` is |
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Answer» `y=mx-am^2` `y=mx-m^2` `y=x*dy/dx-(dy/dx)^2` option 1 is correct. |
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| 358. |
`"If" int(dx)/((x^(2)-2x+10)^(2))=A("tan"^(-1)((x-1)/(3))+(f(x))/(x^(2)-2x+10))+C`,where, C is a constant of integration, thenA. `A=(1)/(54),f(x)=3(x-1)`B. `A=(1)/(54),f(x)=9(x-1)^(2)`C. `A=(1)/(27),f(x)=9(x-1)^(2)`D. `A=(1)/(81),f(x)=3(x-1)` |
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Answer» Correct Answer - A |
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| 359. |
`int 1/(sinx+sin2x)dx`. |
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Answer» `I = int 1/(sinx+sin2x)dx` `= int 1/(sinx+2sinxcosx)dx` `= int 1/(sinx(1+2cosx)dx` `= int sinx/(sin^2x(1+2cosx)dx` `= int sinx/((1-cos^2x)(1+2cosx)dx` Let `cosx = t , then -sinxdx= dt` `:. I = int -dt/((1-t^2)(1+2t) )` `= int -dt/((1-t)(1+t)(1+2t) )` Now, `1/((1-t)(1+t)(1+2t)) = A/(1-t)+B/(1+t)+C/(1+2t)` `=> 1/((1-t)(1+t)(1+2t)) = (A(1+t)(1+2t)+B(1-t)(1+2t)+C(1-t)(1+t))/((1-t)(1+t)(1+2t))` `=> 1/((1-t)(1+t)(1+2t)) = (A+3At+2At^2+B+2Bt-2Bt^2+C-Ct^2)/((1-t)(1+t)(1+2t))` Now, comparing coefficients on both sides, `0 = 2A-2B - C->(1)` `0 = 3A+3B->(2)` `1 = A+B+C->(3)` Solving (1),(2), and (3), we get, `A = 1/6, B = -1/2, C = 4/3` So, our integral becomes, `I =- int 1/(6(1-t))-1/(2(1+t))+4/(3(1+2t)) dt` `I =- int 1/(6(1-t)) + int 1/(2(1+t)) - int 4/(3(1+2t)) dt` `I = -1/6 ln(1-t)(-1) +1/2 ln(1+t) - 4/3ln(1+2t)(1/2) +c` `I = 1/6 ln(1-cosx) +1/2 ln(1+cosx) - 2/3ln(1+2cosx) +c` |
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| 360. |
If `int(d x)/(x^(3) (1+x^(6))^(2//3)) = x.f(x). (1+x^(6))^(1//3) +C`, then `f(x)` is equal toA. `(-1)/(2x^(3))`B. `(-1)/(2x^(2))`C. `(-1)/(6x^(2))`D. `(1)/(6x^(2))` |
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Answer» Correct Answer - A |
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| 361. |
Equation of motion for a particle performing damped harmonic oscillation is given as `x=e^(-1t) cos(10pit+phi)`. The time when amplitude will half of the initial is :A. 27B. 4C. 1D. 7 |
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Answer» Correct Answer - D |
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| 362. |
0.27 g of fatty acid is dissolved in 100 ml of solvent, 10 ml such solution is taken & placed over round plate. Distance from the centre of edge of round plate is 10 cm. Now solvent is evaporated & only fatty acid is remained. Density of fatty acid is `0.9g//c`. Determine height of fatty acid layer. `(pi=3)`A. `10^(-4)cm`B. `10^(-6)cm`C. `10^(-8)cm`D. `10^(-2)cm` |
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Answer» Correct Answer - A |
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| 363. |
0.6 g of urea on strong heating with NaOH evolves NH3. Liberated NH3 will combine completely with which of the following HCl solution ?A. 100ml of 0.2N HClB. 400ml of 0.2N HClC. 100ml of 0.1N HClD. 200ml of 0.2N HCl |
| Answer» Correct Answer - A | |
| 364. |
The number of `P-O-P` and `P-OH` bonds present respectively in pyrophosphoric acid molecule areA. (2 and 4) and (2 and 4)B. (4 and 2) and (4 and 2)C. (4 and 2) and (2 and 4)D. (2 and 2) and (2 and 2) |
| Answer» Correct Answer - B | |
| 365. |
Which of the following is the wrong statement ?A. `O_(3)` molecule is bentB. Ozone is violet-black in solid stateC. Ozone is diamagnetic gasD. `ONCl and ONO^(-)` are not isoelectronic |
| Answer» Correct Answer - A::B::C::D | |
| 366. |
Bakelite is obtained form phenol by reacting with:A. `(CH_(2)OH)_(2)`B. `CH_(3)CHO`C. `CH_(3)COCH_(3)`D. `HCHO` |
| Answer» Correct Answer - D | |
| 367. |
The speed of sound in oxygen `(O_2)` at a certain temperature is `460ms^-1`. The speed of sound in helium (He) at the same temperature will be (assume both gases to be ideal)A. `460 ms^(-1)`B. `500 ms^(-1)`C. `650 ms^(-2)`D. `330 ms^(-1)` |
| Answer» Correct Answer - C | |
| 368. |
Which of the above is inconsistent for the given meter bridgeA. 1B. 2C. 3D. 4 |
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Answer» Correct Answer - D |
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| 369. |
A resonance tube is old and has jagged end. It is still used in the laboratory to determine. Velocity of sound in air. A tuning fork of frequency `512Hz` produces first resonance when the tube is filled with wtaer to a mark 11 cm below a reference mark, near the open end of the tube. the experiment is repeated with another fork of frequency `256Hz` which produces first resonance when water reaches a mark `27 cm` below the reference mark. the velocity of sound in air, obtained in the experiment, is close to :A. `322ms^(-1)`B. `341ms^(-1)`C. `335ms^(-1)`D. `328ms^(-1)` |
| Answer» Correct Answer - A | |
| 370. |
An equilateral triangle has one of its side coinciding with the diameter of the unit circle. The area of the region inside the triangle but outside the circle is |
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Answer» We can create a diagram with the given details. Please refer to video for the diagram. Side of equilateral triangle will be the diameter of the circle. `:. AB = BC = AC = 2` units. Radius of the circle = `1` unit We can see from the figure, there are two equilateral triangle with each side as `1` unit in side the circle and also there is an arc subtending an angle `60^@` with the center. So, Required area`(A) = ` Area of triangle ABC - (Area of two equilateral triangles+ Area of the sector) `=> A = sqrt3/4(2)^2 - (2**sqrt3/4(1)^2-60/360**pi(1)^2)` `=>A = sqrt3 - (sqrt3/2-pi/6) = sqrt3/2-pi/6` So, required area is `sqrt3/2-pi/6` square units. |
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| 371. |
Let Z and w be two complex number such that `|zw|=1` and `arg(z)-arg(w)=pi//2` thenA. `zoverline(w)=-i`B. `zoverline(w)=i`C. `zoverline(w)=(1-i)/(sqrt(2))`D. `zoverline(w)=(1+i)/(sqrt(2))` |
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Answer» Correct Answer - B |
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| 372. |
If the eccentricity of hyperbola `x^2/a^2-y^2/b^2=1` is `5/4` and `2x+3y-6=0` is a focal chord of hyperbola, then length of transverse axis is: |
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Answer» Eccentricity of hyperbola `,e = 5/4` Focii of a hyperbola is `(+-ae,0)`. Now, `2x+3y-6 = 0` is the focal chord of hyperbola. `:. 2(+-ae)+3(0) - 6 = 0` `=>2(+-5/4a) = 6` `=>+-5/2a = 6` `=> a = +-12/5` `=>|a| = 12/5` `:.` Length of transverse axis `= 2a = 24/5.` |
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| 373. |
If one of the directic of hyperbola `(x^(2))/(9)-(y^(2))/(16)=1` is `x=-(9)/(5)` then the corresponding of hyperbola isA. `(5,0)`B. `(-5,0)`C. `(0,4)`D. `(0,-4)` |
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Answer» Correct Answer - B |
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| 374. |
The mean of the values 0,1,2,3,....n, having corresponding weights C(n,0),C(n,1),C(n,2)......C(n,n) respectively is: |
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Answer» Here, total number of values from `0` to `n` are `n+1`. `:.` Mean`(M) = (C(n,0)+C(n,1)+C(n,2)+...C(n,n))/(n+1)` As, `C(n,0)+C(n,1)+C(n,2)+...C(n,n) = 2^n` `:. Mean (M) = 2^n/(n+1)`. |
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| 375. |
A car complete the first half of its journey with speed `v_1`, and the rest half with speed `v_2`. The average speed of the car in whole journey: |
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Answer» Let total distance covered in journey `= d` Speed of car in first half covering distance `d/2 = v_1` Time taken by the car during first half of the journey `(t_1)= (d/2)/(v_1) = d/(2v_1)` Speed of car in second half covering distance `d/2 = v_2` Time taken by the car during second half of the journey `(t_2)= (d/2)/(v_2) = d/(2v_2)` `:.` Average speed ` = d/(t_1+t_2) = d/(d/(2v_1)+d/(2v_2))` ` =2/(1/v_1+1/v_2) = (2v_1v_2)/(v_1+v_2)` So, average speed of the car is `(2v_1v_2)/(v_1+v_2)`. |
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| 376. |
`0.1F` charge is supplied to a solution of `Ni(NO_(3))_(2)`. Then the amount of `Ni` deposited (in mol) at the cathode will be:A. `0.05`B. `1.0`C. `0.5`D. `0.10` |
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Answer» Correct Answer - A |
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| 377. |
`deltaU` is equal toA. Isobaric workB. Adiabatic workC. Isothermal workD. isochoric work |
| Answer» Correct Answer - B | |
| 378. |
Calculate `DeltaU` if `2kJ` heat is released and `10kJ` work is done on the system.A. `12kJ`B. `8kJ`C. `-8kJ`D. `-12kJ` |
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Answer» Correct Answer - B |
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| 379. |
Select the correct options :A. `A = C_(MPS), B = C_("Average"), C = C_(RMS)`B. `A = C_("Average"), B = C_(MPS), C = C_(RMS)`C. `A = C_(RMS), B = C_("Average"), C = C_(MPS)`D. `A = C_(MPS), B = C_(RMS) , C = C_("Average") ` |
| Answer» Correct Answer - A | |
| 380. |
Amongs the following which is redox reaction ?A. `N_2 + O_2 rarr` (at2000K)B. Formation of `O_3` from `O_2`C. Reaction between NaOH and `H_2SO_4`D. Reaction between `AgNO_3` and NaCl |
| Answer» Correct Answer - A | |
| 381. |
Which among the following will be named as dibromidobis-(ethylenediamine) chromium (III) bromide?A. `[Cr(en)_(3)]Br_(3)`B. `[Cr(en)_(2)Br_(2)]Br`C. `[Cr(en)Br_(4)]^(-)`D. `[Cr(en)Br_(2)]Br` |
| Answer» Correct Answer - B | |
| 382. |
A coil is suspended in a uniform magnetic field, with the plane of the coil parallel to the magnetic lines of force. When a current is passed through the coil it starts oscillating, It is very difficult to stop. But if an aluminium plate is placed near to the coil, it stops. This is due to :A. development of air current when the plate is placed.B. induction of electrical charge on the plateC. Shielding of magnetic lines of force as aluminium is a paramagnetic material.D. electromagnetic induction in the aluminium plate giving rise to electromagnetic damping. |
| Answer» Correct Answer - D | |
| 383. |
A stream of electrons from a heated filament was passed between two charged plates kept at a potential difference V esu. If c and m are charge and mass of an electron repectively, then the value of `h//lambda` (where `lambda` is wavelength associated with electron wave) is given by :A. 2meVB. `sqrt(me V)`C. `sqrt(2me V)`D. meV |
| Answer» Correct Answer - C | |
| 384. |
A string of length 2m is fixed at two ends. It is in resonance with a tuning fork of frequency 240 Hz in its third harmonic. Then speed of wave sound in string and its fundamental frequency is:A. `240m//s,80Hz`B. `320m//s,80Hz`C. `1640m//s,80Hz`D. `120m//s,40Hz` |
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Answer» Correct Answer - B |
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| 385. |
If `omega` is a complex cube root of unity, then the equation `|z- omega|^2+|z-omega^2|^2=lambda` will represent a circle, if |
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Answer» `|z-w|^2+|z-w^2|^2=lambda`......(1) `barz xx z=|z|^2` so (1) turns into =>`bar|z-w|xx |z-w| +bar|z-w^2| xx |z-w^2|=lamda` `|barz-barw|xx |z-w| +|barz-bar(w^2)| xx |z-w^2|=lamda` opening and simplifying we get=>`2zbarz-(w+w^2)barz-(barw+bar(w^2))z+w^2+(w^2)^2=lamda` `2|z|^2-(w+w^2)barz-(barw+bar(w^2))z+|w^2|+(|w^2|)^2=lamda` `|w|=1 and 1+w+w^2=0` substituting these we get =>`2|z|^2+barz+z+2=lamda` if `z=x+iotay+barz=x-iotay ` then z+barz=2x substituting values=>`x^2+y^2+x+((2-lamda)/2)=0` centre of circle=`(-1/2,0)` radius=`sqrt(1/4-(2-lamda)/2)=sqrt((lamda)/2-3/4` for circle to exist `radius>=0` `(lamda>=3/2)` so `lamda` belongs to`(3/2,oo)` |
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| 386. |
The polymer containing strong intermolecular forces, e.g., hydrogen bonding is:A. teflonB. nylon 6,6C. polystyreneD. natural rubber |
| Answer» Correct Answer - B | |
| 387. |
Standard deviation of four observations `-1,0,1` and k is `sqrt(5)` then k will beA. `2sqrt(6)`B. `1`C. `2`D. `sqrt(6)` |
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Answer» Correct Answer - A |
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| 388. |
A vector is inclined at `(pi)/(4)` rad with x-axis `(pi)/(3)` rad with y-axis then find angle of vector with z-axisA. `(2pi)/(3)rad`B. `(5pi)/(3)rad`C. `(pi)/(4)rad`D. `(pi)/(2)rad` |
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Answer» Correct Answer - A |
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| 389. |
If both the standard deviation and mean of data `x_(1),x_(2),x_(3),……x_(50)` are 16, then the mean of the data set `(x_(1)-4)^(2),(x_(2)-4)^(2),(x_(3)-4)^(2),….(x_(50)-4)^(2)` isA. 200B. 100C. 400D. 1600 |
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Answer» Correct Answer - C |
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| 390. |
For position of real object at `x_(1)` and `x_(2) (x_(2)gtx_(1))` magnification is equal to 2. find out `(x_(1))/(x_(2))` if focal length of converging lens `f=20cm`A. `(1)/(2)`B. `(1)/(4)`C. `2`D. `4` |
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Answer» Correct Answer - A |
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| 391. |
Mass density of sphere of radius `R` is `(K)/(r^(2))`. Where `K` is constant and `r` is distance from centre. A particle is moving near surface of sphere along circular path of radius R with time period T. ThenA. `(T^(2))/(R)=` constantB. `(T)/(R)=` constantC. `(T)/(R^(2))=` constantD. `(T^(2))/(R^(3))=` constant |
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Answer» Correct Answer - B |
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| 392. |
The mantissa of `log 3274` is `0.5150` value of `log(0.3274)` is: |
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Answer» `1000<3274<10000` `log_10 1000ltlog_10 3274 ltlog_10 10000` `3lltlog_10 3247<4` `log 3247=3+0.5150` `=3.5150` `0.1<0.3274<1` `log_10 0.1ltlog_10 0.3247ltlog_10 1` `-1ltlog_10 0.3274lt0` `log_10 0.3274=-1+(0.5150)` `=-1.5150` option c is correct. |
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| 393. |
Plot `A & B` represent variation of charge with potential difference across the combination (series and parallel) of two capacitors. Then Find the values of capacitance of capacitors. A. `20muF,30muF`B. `10muF,40muF`C. `10muF,15muF`D. `25muF,25muF`` |
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Answer» Correct Answer - B |
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| 394. |
Pressure of an ideal gas is given by `P=P_(0)=[1-(1)/(2)((V_(0))/(V))^(2)]`A. `(P_(0)V_(0))/(3R)`B. `(5P_(0)V_(0))/(4R)`C. `(4P_(0)V_(0))/(R)`D. `(3P_(0)V_(0))/(R)` |
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Answer» Correct Answer - B |
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| 395. |
Graph I,II `&` III are respectively.A. `N_(2)` at `300 K, H_(2)` at `300 K, O_(2)` at `400 K`B. `O_(2)` at `400 K, N_(2)` at `300 K, H_(2)` at `300 K`C. `H_(2)` at `300 K, N_(2)` at `300 K, O_(2)` at `400 K`D. `N_(2)` at `300 K, O_(2)` at `400 K, H_(2)` at `300 K` |
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Answer» Correct Answer - B |
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| 396. |
`P^(H)` of `0.02 M NH_(4)Cl` solution isA. `5.35`B. `4.35`C. `9.65`D. `10.65` |
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Answer» Correct Answer - A |
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| 397. |
For the ion `BrF_(5)` the only correct combination isA. `[NiCl_(4)]^(2-)` - squar-planar , `[Ni(CN)_(4)]^(2-)` -paramagneticB. `[NiCl_(4)]^(2-)` diamagnetic, `[Ni(CO)_(4)]`- square-planarC. `[Ni(CN)_(4)]^(2-)`-tetrahedral , `[Ni(CO)_(4)]`- paramagneticD. `[NiCl_(4)]^(2-)` - paramagnetic , `[Ni(CO)_(4)]` - tetrahedral |
| Answer» Correct Answer - D | |
| 398. |
The water gas when used for the formation of methanol is calledA. Fuel gasB. Syn gasC. Natural gasD. Producer gas |
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Answer» Correct Answer - B |
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| 399. |
Which of the following will most readily give the dehydrohalogenation product ?A. B. C. D. |
| Answer» Correct Answer - B | |
| 400. |
The main reduction product of the following compound with `NaBH_(4)` in methanol is : A. B. C. D. |
| Answer» Correct Answer - B | |