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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.
| 251. |
A capillary tube of radius 0.25 mm is submerged vertically in water so that 25 mm of its length is outside water. The radius of curvature of the meniscus will be (surface tension of water `=75xx10^(-3)` N/m)A. 0.2 mmB. 0.4 mmC. 0.6 mmD. 0.8 mm |
| Answer» Correct Answer - C | |
| 252. |
Water rises to a height of `10cm` in a glass capillary tube. If the area of cross section of the tube is reduced to one fourth of the former value what is the height of water rise now?A. 20 cmB. 5 cmC. 2.5 cmD. 7 cm |
| Answer» Correct Answer - A | |
| 253. |
A cube made of material having a density of `900 kgm^(-3)` floats between water of density `1000 kgm^(-3)` and a liquid of density `700kgm^(-3)`, which is immiscible with water. What part of the cube is inside the water?A. `(1)/(3)`B. `(2)/(3)`C. `(3)/(4)`D. `(3)/(7)` |
| Answer» Correct Answer - B | |
| 254. |
Blood is flowing at the rates of 200 `cm^(3)//sec` in a capillary of cross-sectional area `0.5m^(2)`. The velocity of flow, (in mm/sec) is:A. 0.1B. 0.2C. 0.3D. 0.4 |
| Answer» Correct Answer - D | |
| 255. |
Three circles each of radius 1, touch one another externally and they lie between two parallel lines. The minimum possible distance between the lines isA. `2+sqrt(3)`B. `3+sqrt(3)`C. 4D. `2+(1)/(sqrt(3))` |
| Answer» Correct Answer - A | |
| 256. |
A body of uniform cross-sectional area floats in a liquid of density thrice its value. The portion of exposed height will be :A. `2//3`B. `5//6`C. `1//6`D. `1//3` |
| Answer» Correct Answer - A | |
| 257. |
Figure shows a container filled with a liquid of density `rho`. Four points `A, B, C` and `D` lie on the vertices of a vertical square. Points `A` and `C` lie on a vertical line and points `B` and `D` lies on a horizontal line. Choose the correct statement(s) about the pressure at the four points. A. `P_(C)=P_(B)`B. `P_(A)ltP_(B)=P_(D)ltP_(C)`C. `P_(D)=P_(B)=(P_(C)-P_(A))/(2)`D. `P_(D)=P_(B)=(P_(C)+P_(A))/(2)` |
| Answer» Correct Answer - C | |
| 258. |
The presssure of a medium is changed from `1.01xx10^(5) Pa` to ` 1.165xx10^(5) Pa` and change in volume is `10 % ` keeping temperature constant . The bulk modulus of the medium is (a) `204.8 xx 10^(5) Pa` (b) `102.4xx10^(5) Pa` (c ) `5.12xx10^(5) Pa` (d) `1.55xx10^(5) Pa`A. `15.5xx10^(5)` PaB. `1.4xx10^(5)` PaC. `1.55xx10^(5)` PaD. `0.0155xx10^(5)` Pa |
| Answer» Correct Answer - C | |
| 259. |
A cubical block is floating in a liquid with one fourth o its volume immersed in the liquid. If whole of the system accelerates upward with acceleration g/4, the fraction of volume immersed in the liquid will be :-A. `1//4`B. `1//2`C. `3//4`D. `2//3` |
| Answer» Correct Answer - A | |
| 260. |
A man of mass 50 kg is standing in an elevator. If elevator is moving up with an acceleration `(g)/(3)` then work done by normal reaction of elevator floor on man when elevator moves by a distance 12 m is `(g=10 m//s^(2))`:-A. 2000 JB. 4000 JC. 6000 JD. 8000 J |
| Answer» Correct Answer - D | |
| 261. |
A cubical box of wood of side 30 cm and mass 21.6 kg floats on water with two faces horizontal. The length of immersed part in water is :`(rho_("wood")=0.8g//c c)`A. 30 cmB. 12 cmC. 6 cmD. 24 cm |
| Answer» Correct Answer - D | |
| 262. |
A cubical vessel of height `1` m is full of water. What is the workdone in pumping water out of the vessel?A. 5000 JB. 10,000 JC. 5 JD. 10 J |
| Answer» Correct Answer - A | |
| 263. |
A tiny sphere of mass m and density x is dropped in a jar of glycerine of density y. When the sphere aquires terminal velocity, the magnitude of the viscous force acting on it is :A. `(mgx)/(y)`B. `(mgy)/(x)`C. `mg[1-(y)/(x)]`D. `mg[1+(y)/(x)]` |
| Answer» Correct Answer - C | |
| 264. |
A body of mass 2 kg moving with a velocity of 3 m/sec collides head on with a body of mass 1 kg moving in opposite direction with a velocity of 4 m/sec. After collision, two bodies stick together and move with a common velocity which in m/sec is equal toA. (1//4) m/sB. (1//3) m/sC. (2//3) m/sD. (3//4) m/s |
| Answer» Correct Answer - C | |
| 265. |
A massive ball moving with speed v collieds with a tiny ball which is intially at rest having a mass very much smaller than the mass of the first ball. The collision is elastic, then immediately after the impact, the second ball will move with a speed approximately equal to :-A. vB. 2vC. v/2D. `oo` |
| Answer» Correct Answer - B | |
| 266. |
A ball is dropped on the ground from a height of `1m`. The coefficient of restitution is `0.6`. The height to which the ball will rebound isA. 0.6 mB. 0.4 mC. 0.36 mD. 0.16 m |
| Answer» Correct Answer - C | |
| 267. |
The velocity of sound in a gas at temperature `27^@C` is `V` then in the same ahs its velocity will be `2V` at temperature.A. `54^(@)C`B. `327^(@)C`C. `927^(@)C`D. `108^(@)C` |
| Answer» Correct Answer - C | |
| 268. |
Two liquids A and B are at `30^@C` and `20^@C`, respectively When they are mixied in equal masses, the temperature of the mixture is found to be `26^@C`. The ratio of their specific heat isA. `3 : 2`B. `1 : 1`C. `2 : 3`D. `4 : 3` |
| Answer» Correct Answer - A | |
| 269. |
The water equivalent of 20 g of aluminium (specific heat `0.2" cal"//g-""^(@)C`), is :-A. 40 gB. 4 gC. 8 gD. 160 g |
| Answer» Correct Answer - B | |
| 270. |
Select the incorrect statement about the specific heat of a gaseous system :A. Specific heat at no heat exchange condition, `C_(A)=0`B. Specific heat at constant temperature, `C_(T)=oo`C. Specific heat at constant pressure, `C_(P)=(gammaR)/(gamma-1)`D. Specific heat at constant volume, `C_(V)=(R)/(gamma)` |
| Answer» Correct Answer - D | |
| 271. |
For polytropic process `PV^(n)` = constant, molar heat capacity `(C_(m))` of an ideal gas is given by:A. `C_(V)+(R)/(1+x)`B. `C_(P)+(R)/(1+x)`C. `C_(V)+(R)/(1-x)`D. `C_(P)+(R)/(1-x)` |
| Answer» Correct Answer - C | |
| 272. |
For a certain process pressure of diatomic gas varies according to the relation `P=aV^(2n)`, where a is constant. What is the molar heat capacity of the gas for this process?A. `(17R)/(6)`B. `(6R)/(17)`C. `(13R)/(6)`D. `(16R)/(7)` |
| Answer» Correct Answer - A | |
| 273. |
Given that `log_(10)(2) = 0.3010...`, number of digits in the number `2000^(2000)` isA. 6601B. 6602C. 6603D. 6604 |
| Answer» Correct Answer - C | |
| 274. |
If greatest common divisor of `x^(3)-x^(2)+px - 7` and `x^(2)-4x +q` is `(x-1)`, then the value of `p^(2)+q^(2)` isA. 58B. 85C. 75D. 57 |
| Answer» Correct Answer - A | |
| 275. |
If M is even prime number,N is least prime number of two digits & P is greatest prime number of two digits, then `(P+N)/(M)` is dividible by-A. 4B. 8C. 9D. 11 |
| Answer» Correct Answer - D | |
| 276. |
Evaluate: `log_(9)27 - log_(27)9` |
| Answer» Correct Answer - B::D | |
| 277. |
Suppose that `w = 2^(1//2), x = 3^(1//3),y = 6^(1//6)` and `z = 8^(1//8)`. From among these number list, the biggest, second biggest numbers areA. `w,x`B. `x,w`C. `y,z`D. `x,z` |
| Answer» Correct Answer - B | |
| 278. |
The sides of a triangle ABC are as shown in the given figure. Let D be any internal point of this triangle and let e,f and g denote the distance between the point D and the sides of the triangle. The sum `(5e +12f +13g)` is equal to A. 120B. 90C. 60D. 30 |
| Answer» Correct Answer - B::C::D | |
| 279. |
Let triangle ABC be right angled at C.If `tanA+tanB 2`, then-A. `/_A = 30^(@)`B. triangle ABC must be isosclesC. sides of the triangle ABC are 3,4,5D. triangle must be scalene |
| Answer» Correct Answer - B | |
| 280. |
If `x =(4)/((sqrt(5)+1)(root4(5)+1)(root8(5)+1)(root16(5)+1))`. Then the value of `(1+x)^(48)` is-A. 5B. 25C. 125D. 625 |
| Answer» Correct Answer - C | |
| 281. |
What is the area of an equilateral triangle inscribed in a circle of radius 4cm?A. `12 cm^(2)`B. `9sqrt(3)cm^(2)`C. `8sqrt(3)cm^(2)`D. `12 sqrt(3)cm^(2)` |
| Answer» Correct Answer - D | |
| 282. |
A chord of circle divides the circle into two parts such that the squares inscribed in the two parts have area `16 and 144` square units. The radius of the circle , isA. `2sqrt(10)`B. `6sqrt(2)`C. 9D. `sqrt(85)` |
| Answer» Correct Answer - D | |
| 283. |
The equation `(2x^(2))/(x-1)-(2x +7)/(3) +(4-6x)/(x-1) +1=0` has the roots-A. 4 and 1B. only 1C. only 4D. Neither 4 nor 1 |
| Answer» Correct Answer - C | |
| 284. |
If a,b,c,d are positive real numbers such that `(a)/(3) = (a+b)/(4)= (a+b+c)/(5) = (a+b+c+d)/(6)`, then `(a)/(b+2c+3d)` is:-A. `1//2`B. 1C. 2D. Not determinable |
| Answer» Correct Answer - A | |
| 285. |
The number of F ions in 4.2 gm `AlF_(3)` is (Al = 27, F = 19)A. `0.05`B. `9.03 xx 10^(22)`C. `3.01 xx 10^(22)`D. `3.01 xx 10^(22)` |
| Answer» Correct Answer - A | |
| 286. |
Which of the following is the smallest positive integer which gives the remaninder 3 when divided with 4,6,8 and 10?A. 73B. 103C. 123D. 234 |
| Answer» Correct Answer - C | |
| 287. |
If AB and CD are perpendicular diameters of circle Q. and `/_QPC = 60^(@)`, then the length of PQ divided by, the length of AQ is:- A. `(sqrt(3))/(2)`B. `(sqrt(3))/(3)`C. `(sqrt(2))/(2)`D. `(1)/(2)` |
| Answer» Correct Answer - B | |
| 288. |
If the polynomial `x^(19) + x^(17) +x^(13) +x^(11) +x^(7) +x^(4) +x^(3)` is divided by `(x^(2)+1)`, then the remainder isA. 1B. `x^(2)+4`C. `-x`D. x |
| Answer» Correct Answer - A | |
| 289. |
`f(x) = 3x^(5) +11 x^(4) +90x^(2) - 19x +53` is divided by `x +5` then the remainder is______.A. 100B. `-100`C. `-102`D. 102 |
| Answer» Correct Answer - C | |
| 290. |
One mole of hydrogen, assumed to be ideal, is adiabatically expanded from its initial state `(P_(1), V_(1), T_(1))` to the final state `(P_(2), V_(2), T_(2))`. The decrease in the internal energy of the gas during this process will be given byA. `C_(V)(T_(1)-T_(2))`B. `C_(P)(T_(1)-T_(2))`C. `(C_(P)+C_(V))/(2)(T_(1)-T_(2))`D. `(C_(P)-C_(V))(T_(1)-T_(2))` |
| Answer» Correct Answer - A | |
| 291. |
A wave is given by the equation ` y = 10 sin 2 pi (100 t - 0.02 x) + 10 sin 2 pi (100 t + 0.02 x)` Find the loop length , frequency , velocity and maximum amplitude of the stationary wave produced.A. 20 units and 30 unitsB. 20 units and 25 unitsC. 30 units and 20 unitsD. 25 units and 20 units |
| Answer» Correct Answer - B | |
| 292. |
In case of closed organ pipe, which harmonin the `p^(th)` overtone will beA. `2p+1`B. `2p-1`C. `p+1`D. `p-1` |
| Answer» Correct Answer - A | |
| 293. |
The first resonance length of a resonance tube is `40 cm` and the second resonance length is `122 cm` . The third resonance length of the tube will beA. 200 cmB. 202 cmC. 203 cmD. 204 cm |
| Answer» Correct Answer - D | |
| 294. |
An organ pipe of length `L` is open at one end and closed at other end. The wavelengths of the three lowest resonating frequencies that can be produced by this pipe areA. 4L, 2L, LB. 2L, L, L/2C. 2L, L, 2L/3D. 4L, 4L/3, 4L/5 |
| Answer» Correct Answer - D | |
| 295. |
Find the first derivatives (i) If `y=x^(-1//3)," find "(dy)/(dx)` (ii) If `x=t^(6)," find "(dx)/(dt)` (iii) If `z=u^(3)," find "(dz)/(du)` (iv) If `f=r^(2)+r^(1//3)," find "(df)/(dr)` (v) If `x=2t^(3)-3t^(2)+5t-6," find "(dx)/(dt)` (vi) If `y=3x^(2)` (vii) If `y=xlnx` (viii) If `y=xsinx` (ix) If `y=sinx cosx` (x) If `y=sin^(2)x+cos^(2)x` (xi) If `y=cos2x` (xii) If `v=(4)/(3)pir^(3)," find "(dv)/(dr)` (xiii) If `s=4pir^(2)," find "(ds)/(dr)` |
|
Answer» Correct Answer - (i)`-(1)/(3)x^(-4//3)` (ii)`6t^(5)` (iii)`3u^(3)` (iv)`2r+(1)/(3)r^(-2//3)` (v)`6t^(2)-6t+5` (vi)`6x` (vii)`1+lnx` (viii)`xcosx+sinx` (ix)`cos^(2)x-sin^(2)x` (x)0 (xi)`-2sin2x` (xii)`4pir^(2)` (xiii)`8pir` |
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| 296. |
A cube of 2cm edge is cut off into 8 cubes of 1cm edge. What is teir total surface area?A. `8cm^(2)`B. `16cm^(2)`C. `24cm^(2)`D. `48cm^(2)` |
| Answer» Correct Answer - D | |
| 297. |
PQRS is a rectangle such that `PR +PQ = 5PS` and `PR - PS = 8`. Then area (in sq. units) of rectangle is-A. 40B. 50C. 60D. 70 |
| Answer» Correct Answer - C | |
| 298. |
The maximum and minimum values of expression `(4-2costheta)` respectively areA. 4 and 0B. 4 and 2C. 6 and 0D. 6 and 2 |
| Answer» Correct Answer - D | |
| 299. |
Find the value of `5(sin100^(@)cos27^(@)+sin27^(@)cos100^(@)).` |
| Answer» Correct Answer - 4 | |
| 300. |
Four massless springs whose force constants are 2k, 2k, k and 2k respectively are attached to a mass M kept on a frictionless plane (as shown in figure). If the mass M is displaced in the horizontal direction. A. `(1)/(2pi)sqrt((k)/(4M))`B. `(1)/(2pi)sqrt((4k)/(M))`C. `(1)/(2pi)sqrt((k)/(7M))`D. `(1)/(2pi)sqrt((7k)/(M))` |
| Answer» Correct Answer - B | |