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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.
| 101. |
The point P is the intersection of the straight line joining the points `Q(2, 3, 5)` and `R (1, -1, 4)` with the plane `5x- 4y-z=1`. If S is the foot of the perpendicular drawn from the point `T(2, 1, 4)` to QR, then the length of the line segment PS is: |
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Answer» `L:(x-1)/1=(y+1)/4=(z-4)/1=lambda` `(lambda+1,4lambda-1,lambda+4)` `5x-4y-z=1` `5(lambda+1)-4(4lambda-1)-(lambda+4)=1` `-12lambda+5=1` `lambda=1/3` `vec(TS)(lambda-1,4lambda-2,lambda)` `(1,4,1)` `lambda-1+16lambda-8+lambda=0` `lambda=1/2` `P(4/3,1,13/3),S(3/2,1,9/2)` `PS=sqrt((3/2-4/3)^2+(9/2-13/3)^2)` `PS=sqrt(1/6^2+1/6^2)` `PS=sqrt2/6=1/(3sqrt2)`. |
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| 102. |
Arrange the following compounds in order of decreasing acidity: A. `IgtIIgtIIIgtIV`B. `IIIgtIgtIIgtIV`C. `IVgtIIIgtIgtII`D. `IIgtIVgtIgtIII` |
| Answer» Correct Answer - B | |
| 103. |
For `Na^(+),Mg^(2+),F^(-) and O^(2-)`, the correct order of increasing ionic radii is :A. `Na^(+) ltMg^(2+) ltF^(-) lt O^(2-)`B. `Mg^(2+) ltO^(2-) lt Na^(+) ltF^(-)`C. `Mg^(2+) lt Na^(+) lt F^(-) lt O^(2-)`D. `O^(2-) lt F^(-) ltNa^(+) lt Mg^(2+)` |
| Answer» Correct Answer - C | |
| 104. |
The ionic radii of `N^(3-), O^(2-)` and `F^(-)` are respectively given by:A. `1.36, 1.71 and 1.40`B. `1.71, 1.40 and 1.36`C. `1.71, 1.36 and 1.40`D. `1.36, 1.40 and 1.71` |
| Answer» Correct Answer - B | |
| 105. |
The correct sequence which shown decreasing order of the ionic radii of the elements isA. `Al^(3+)gtMg^(2+) gt Na^(+) gt F^(-)gtO^(2+)`B. `Na^(+) gtMg^(2+) gtAl^(3+) gt O^(2-) gt F^(-)`C. `Na^(+) gt F^(-)gt Mg^(2+) gt O^(2-)gt Al^(3+)`D. `O^(2-)gtF^(-) gt Na^(+) gt Mg^(2+) gt Al^(3+)` |
| Answer» Correct Answer - D | |
| 106. |
Solubility product of silver bromide is `5.0xx10^(-13)`. The quantity of potassium bromide (molar mass taken as `120g mol^(-1)`) to be added to `1 L` of `0.05 M` solution of silver nitrate to start the precipitation of `AgBr` isA. `1.2xx10^(-1)g`B. `1.2xx10^(-9)g`C. `6.2xx10^(-5)g`D. `5.0xx10^(-8)g` |
| Answer» Correct Answer - B | |
| 107. |
Identify the wrong statement in the following ?A. Chlorofluorocarbon are responsible for ozone layer depletionB. Greenhouse effect is responsible for global warmingC. Ozone layer does not permit infrared radiation from the sun to reach the earthD. Acid rains is mostly because of oxides of nitrogen and sulphur |
| Answer» Correct Answer - C | |
| 108. |
Phenol when it first reacts with concentrated sulphuric acid and then with concentrated nitric acid gives:A. 2, 4-6-trinitrobenzeneB. o-nitrophenolC. p-nitrophenolD. nitrobenzene |
| Answer» Correct Answer - B | |
| 109. |
From a solid sphere of mass M and radius R, a spherical portion of radius R/2 is removed, as shown in the figure Taking gravitational potential `V =0at r = oo,` the potential at (G = gravitational constatn) A. `-(GM)/(R)`B. `-(2GM)/(3R)`C. `-(2GM)/(R)`D. `(-GM)/(2R)` |
| Answer» Correct Answer - A | |
| 110. |
Let `vecA=(hati+hatj)and,vecB=(2hati-hatj)`. The magnitude of a coplanar vector `vecC` such that `vecA*vecC=vecB*vecC=vecA*vecB`, is given by :A. `sqrt((9)/(12))`B. `sqrt((5)/(9))`C. `sqrt((20)/(9))`D. `sqrt((10)/(9))` |
| Answer» Correct Answer - B | |
| 111. |
Suppose that angular velocity of rotation of earth is increased. Then, as a consequence :A. Except at poles, weight of the object on the earth will decrease.B. Weight of the object, everywhere on the earth, will decrease.C. There will be no change in weight any where on the earth.D. Weight of the object, everywhere on the earth, will decrease. |
| Answer» Correct Answer - A | |
| 112. |
In the following circuit, the switch S is closed at t = 0. The charge on the capacitor `C_(1)` as a function of time will be given by `(C_(eq)=(C_(1)C_(2))/(C_(1)+C_(2)))` |
| Answer» Correct Answer - B | |
| 113. |
A heating element has a resistance of 100 `Omega` at room temperature. When it is connected to a supply of 220 V, a steady current of 2A passes in it and temperature is `500^(@)C` more than room temperature. What is the temperature coefficient of resistance of the heating element ?A. `2xx10^(-4).^(@)C^(-1)`B. `0.5xx10^(-4).^(@)C^(-1)`C. `1xx10^(-4).^(@)C^(-1)`D. `5xx10^(-4).^(@)C^(-1)` |
| Answer» Correct Answer - A | |
| 114. |
Determine the charge on capacitor in steady state:A. `40muC`B. `20muC`C. `15muC`D. `80muC` |
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Answer» Correct Answer - A |
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| 115. |
A small soap bubble of radius 4 cm is trapped inside another bubble of radius 6 cm without any contact. Let `P_(2)` be the pressure inside the inner bubble and `P_(0)`, the pressure outside the outer bubble. Radius of another bubble with pressure difference `P_(2)-P_(0)` between its inside and outside would be :A. 6 cmB. 12 cmC. 4.8 cmD. 2.4 cm |
| Answer» Correct Answer - D | |
| 116. |
A string fixed at both ends, oscillate in 4th harmonic. The displacement of particular wave is given as `Y=2Asin(5piX)cos(100pit)`. Then find the length of the string?A. 80 cmB. 100cmC. 60 cmD. 120 cm |
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Answer» Correct Answer - A |
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| 117. |
A thermodynamic system undergoes two process `P_(1)` and `P_(2)` from `AtoB` as shown in `P-V` diagram, choose the correct option.A. `triangleU_(P1)=triangleU_(P2),QP_(1)=Q_(P2)`B. `triangleU_(pq)=triangle_(p2),QP_(1)gtQ_(p2)`C. `triangleU_(p1)triangleU_(p2),QP_(1)ltQ_(p2)`D. `triangleU_(p1)lttriangleU_(p2),QP_(1)=Q_(p2)` |
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Answer» Correct Answer - B |
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| 118. |
A particle is projected vertically upwards from ground. Which of the following plots best describe the momentum vs height from the ground?A. B. C. D. |
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Answer» Correct Answer - C |
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| 119. |
Higher order `(gt3)` reaction are rare due to :A. increase in entropy and activation energy as more molecules are involvedB. shifting of equilibrium towards reactants due to elastic collisionsC. loss of active species on collisionD. low probability of simultaneous collision of all the reacting species |
| Answer» Correct Answer - D | |
| 120. |
When metal ‘M’ is treated with NaOH, a white gelatinous precipitate ‘X’ is obtained, which is soluble in excess of NaOH. Compound ‘X’ when heated strongly gives an oxide which is used in chromatography as an adsorbent. The metal ‘M’ isA. FeB. ZnC. CaD. Al |
| Answer» Correct Answer - D | |
| 121. |
Which of the following is diamagnetic?A. `O_(2)`B. `CO`C. `B_(2)`D. `NO` |
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Answer» Correct Answer - B |
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| 122. |
According to molecular orbital theory, which of the following will not be a viable molecule?A. `H_(2)^(2-)`B. `He_(2)^(2-)`C. `He_(2)^(+)`D. `H_(2)^(-)` |
| Answer» Correct Answer - A | |
| 123. |
Which of the following statements is incorrect for `1s` orbital of hydrogen atom?A. It is possible to find an electron at a distance `2a_(0)` (`a_(0)=` Bohr radius)B. The magnitude of potential energy is twice of kinetic energy for a given orbitC. The total energy of an electron is maximum in its first orbit.D. The probality density of finding an electron is maximum at the nucleus |
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Answer» Correct Answer - C |
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| 124. |
`9.65` amp of current was passed for one hour through Daniel cell. The loss of mass of zinc anode isA. 10.9 gB. 9.81 gC. 98.1 gD. 109.0 g |
| Answer» Correct Answer - B | |
| 125. |
What is the value of `DeltaH-DeltaU` for the combustion of Heptane `(l)` ?A. `-4RT`B. `-3RT`C. `4RT`D. `3RT` |
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Answer» Correct Answer - A |
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| 126. |
A boy can throw a stone up to a maximum height of `10 m`. The maximum horizontal distance that the boy can throw the same stone up to will be :A. `20 sqrt(2) m`B. 10 mC. `10 sqrt(2) m`D. 20 m |
| Answer» Correct Answer - D | |
| 127. |
A granite rod of 60 cm length is clamped at its middle point and is set into longitudinal vibrations. The density of granite is `2.7 xx10^(3) kg//m^(3)` and its Young’s modulus is `9.27 xx10^(10)` Pa. What will be the fundamental frequency of the longitudinal vibrations ?A. 7.5 kHzB. 5 kHzC. 2.5 kHzD. 10 kHz |
| Answer» Correct Answer - B | |
| 128. |
A telephonic communication service is working at carrier frequency of 10 GHz. Only 10% of it is utilized for transmission. How many telephonic channels can be transmitted simultaneously if each channel requires a bandwidth of 5 kHz ?A. `2xx10^(6)`B. `2xx10^(3)`C. `2xx10^(4)`D. `2xx10^(5)` |
| Answer» Correct Answer - D | |
| 129. |
In a certain region static electric and magentic fields exist. The magnetic field is given by `vec(B) = B_(0) (hat(i) + 2hat(j)-4hat(k))`. If a test charge moving with a velocity, `vec(upsilon) = upsilon_(0)(3hat(i)-hat(j) +2hat(k))` experience no force in that region, then the electric field in the region, in SI units, is-A. `vec(E) = -upsilon_(0) B_(0)(hat(i) + hat(j) + 7hat(k))`B. `vec(E) = -upsilon_(0)B_(0)(3hat(i) - 2hat(j) -4hat(k))`C. `vec(E) = upsilon_(0)B_(0)(14hat(j) + 7 hat(k))`D. `vec(E) = -upsilon_(0) B_(0) (14hat(j) + 7hat(k))` |
| Answer» Correct Answer - D | |
| 130. |
An EM wave from air enters a medium. The electric fields are `overset(vec)E_(1)=E_(01)hatx cos[2piv((z)/(c )-t)]` in air and `overset(vec)E=E_(02)hatx cos [k(2z-ct)]` in medium, where the wave number k and frequency v refer to their values in air. The medium is non-magnetic. If `in_(r_(1))` and `in_(r_(2))` refer to relative permittivities of air and medium respectively, which of the following options is correct ?A. `(in_(r_(1)))/(in_(r_(1)))=(1)/(2)`B. `(in_(r_(1)))/(in_(r_(1)))=4`C. `(in_(r_(1)))/(in_(r_(1)))=2`D. `(in_(r_(1)))/(in_(r_(1)))=(1)/(4)` |
| Answer» Correct Answer - D | |
| 131. |
At what distance from his face a person should place concave mirrors of focal length 0.4 m so that magnification in 5 times for a virtual imageA. 32B. 24C. 16D. 50 |
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Answer» Correct Answer - A |
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| 132. |
An electric dipole has a fixed dipole moment `vec(p)`, which makes angle `theta` with respect to x-axis. When subjected to an electric field `vec(E_(1)) = E hat(i)`, it experiences a torque `vec(T_(1)) = tau hat(k)`. When subjected to another electric field `vec(E_(2)) = sqrt(3) E_(1) hat(j)`, it experiences torque `vec(T_(2)) = -vec(T_(1))`. The angle `theta` isA. `90^(@)`B. `30^(@)`C. `45^(@)`D. `60^(@)` |
| Answer» Correct Answer - D | |
| 133. |
A block of side `0.5m` is `30%` submerged in a liquid of density `1 gm//(c c)`. Then find mass of an object placed on block for complete submergence.A. `87.3kg`B. `85.3kg`C. `82.3kg`D. `80.3KG` |
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Answer» Correct Answer - A |
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| 134. |
The graph of manification `v//s` image distance of a thin lance is given. Its focal length will be - A. `f=(-a)/(c)`B. `f=(-b)/(c)`C. `f=(-c)/(b)`D. `None of these |
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Answer» Correct Answer - B |
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| 135. |
The dipole moment of a circular loop carrying a current I, is m and the magnetic field at the centre of the loop is `B_(1)` . When the dipole moment is doubled by keeping the current constant, the magnetic field at the centre of the loop is ` B_(2)` . The ratio `(B_(1))/(B_(2))` is:A. `(1)/(sqrt(2))`B. 2C. `sqrt(3)`D. `sqrt(2)` |
| Answer» Correct Answer - D | |
| 136. |
A rectangular loop of sides 10 cm and 5 cm carrying a current 1 of 12 A is placed in different orientations as shown in the figures below : ltBrgt If there is a uniform magnetic field of 0.3 T in the positive z direction, in which orientations the loop would be in (i) stable equilibrium ?A. (a) and (c), respectivelyB. (b) and (d), respectivelyC. (b) and (c), respectivelyD. (a) and (b), respectively |
| Answer» Correct Answer - B | |
| 137. |
Magnetic moment of a current carrying square loop be `M`. If it is converted in form of circle and same current is passed through it then find the new magnetic moment.A. `(M)/(4pi)`B. `(4M)/(pi)`C. `(M)/(3pi)`D. `(5M)/(6pi)` |
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Answer» Correct Answer - B |
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| 138. |
Two satellites, A and B, have masses m and 2m respectively. A is in a circular orbit of radius R, and B is in a circular orbit of radius 2R around the earth. The ratio of their kinetic energies, `T_(A)//T_(B)`, is :A. `(1)/(2)`B. 1C. 2D. `sqrt((1)/(2))` |
| Answer» Correct Answer - A | |
| 139. |
A block kept on a rough inclined plane ,as shown in the figure, remains at rest upto a maximum force `2N` down the inclined plane. The maximum external force up the inclined plane that does not move the block is `10N`.The coefficient of static friction between the block and the palbe is : [Taking `g=10m//s^(2)`]. A. `sqrt(3)/(2)`B. `sqrt(3)/(4)`C. `(1)/(2)`D. `(2)/(3)` |
| Answer» Correct Answer - A | |
| 140. |
A long cylinderical vessel is half filled with a liquid. When the vessel is rotated about its own vertical axis. The liquid rises up near the wall. If the radius of vessel is `5 cm` and its rotational speed is 2 rotatins per second, then the difference in the heights between the centre and the sides, in cm. will be :A. `2.0`B. `0.1`C. `0.4`D. `1.2` |
| Answer» Correct Answer - A | |
| 141. |
A long metallic bar is carrying heat from one of its ends to the other end under steady-state. The variation of temperature `theta` along the length x of the bar from its hot end is best described by which of the following figures?A. B. C. D. |
| Answer» Correct Answer - B | |
| 142. |
Tha major product of the following reactions is : A. B. C. D. |
| Answer» Correct Answer - C | |
| 143. |
`2-`Hexyne gives trans `-2-` hexene on treatment with `:`A. `Pt//H_(2)`B. `Li//NH_(3)`C. `Pd//BaSO_(4)`D. `LiAIH_(4)` |
| Answer» Correct Answer - B | |
| 144. |
If x, v and a denote the displacement, the velocity and the acceleration of a particle executing simple harmonic motion of time period T, then, which of the following does not change with time?A. `a^(2) T^(2) + 4pi^(2) v^(2)`B. `(aT)/(x)`C. `aT + 2pi v`D. `(aT)/(v)` |
| Answer» Correct Answer - B | |
| 145. |
A `p-n` junction `(D)` shown in the figure can act as a rectifier. An alternating current source `(V)` is connected in the circuit. .A. B. C. D. |
| Answer» Correct Answer - C | |
| 146. |
This question contains Statement-1 and Statement-2. Of the four choices given after the statements, choose the one that best describes the two statements. Statement-1: For a charged particle moving from point P to point Q, the net work done by an electrostatic field on the particle is independent of the path connecting point P to point Q. Statement-2: The net work done by a conservative force on an object moving along a closed loop is zero.A. Statement-1 is true, Statement-2 is falseB. Statement-1 is true, Statement-2 is true, Statement-2 is the correct explaination of Statement-1C. Statement-1 is true, Statement-2 is true, Statement-2 is not the correct explanation of Statement-1D. Statement-1 is false, Statement-2 is true |
| Answer» Correct Answer - B | |
| 147. |
This questions has Statement I and Statement II. Of the four choices given after the Statements, choose the one that best describes into two Statements. Statement-I : Higher the range, greater is the resistance of ammeter. Statement- II : To increase the range of ammeter, additional shunt needs to be used across it.A. Statement - I is true, Statement - II is true, Statement - II is not the correct explanation of Statement - I.B. Statement - I is true, statement - II is false.C. Statement - I is false, Statement - II is trueD. Statement - I is true, Statement - II is true, Statement - II is the correct explanation of statement - I. |
| Answer» Correct Answer - C | |
| 148. |
A projectile is given an initial velocity of ` ( hat(i) + 2 hat (j) ) m//s`, where ` hat(i)` is along the ground and `hat (j)` is along the vertical . If ` g = 10 m//s^(2) `, the equation of its trajectory is :A. `y=2x-5x^(2)`B. `4y=2x-5x^(2)`C. `4y=2x-25x^(2)`D. `y=x-5x^(2)` |
| Answer» Correct Answer - A | |
| 149. |
What is the minimum energy required to launch a satellite of mass m from the surface of a planet of mass M and radius R in a circular orbit at an altitude of 2R?A. `(2GmM)/(3R)`B. `(GmM)/(2R)`C. `(GmM)/(3R)`D. `(5GmM)/(6R)` |
| Answer» Correct Answer - D | |
| 150. |
if a,b,c are in G.P. and 3a, 7b, 15c are first 3 term of A.P. Also the common ratio of G.P. `in(0,(1)/(2))` then the 4th term of A.P isA. `(3)/(2)a`B. `(7)/(2)a`C. `(5)/(2)a`D. `a` |
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Answer» Correct Answer - D |
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