InterviewSolution
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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.
| 1. |
Statement-I : When an algebraic equation has been derved, it is advisable to check it for dimensional consistency. Statement-II : This guarantee that the equation is correct.A. Statement-I is true, Statement-II is true, Statement-II is correct explanation for statement-IB. Statement-I is true, Statement-II is true, Statement-II is NOT a correct explanation for statement-IC. Statement-I is true, Statement-II is false.D. Statement-I is false and Statement-II is true. |
| Answer» Correct Answer - A | |
| 2. |
The method of dimensional analysis can be used to derive which of the following relations?A. `N_(0) e^(-lambdat)`B. `A sin (omega t+kx)`C. `1/2 mv^(2)+1/2 Iomega^(2)`D. None of these |
| Answer» Correct Answer - D | |
| 3. |
Statement-I : If x and y are the distance along x and y axes respectively then the dimensions of `(d^(3)y)/(dx^(3))` is `M^(0)L^(-2) T^(@)` Statement-II : Dimensions of `int_(a)^(b) ydx` is `M^(0)L^(2)T^(@)`A. Statement-I is true, Statement-II is true, Statement-II is correct explanation for statement-IB. Statement-I is true, Statement-II is true, Statement-II is NOT a correct explanation for statement-IC. Statement-I is true, Statement-II is false.D. Statement-I is false and Statement-II is true. |
| Answer» Correct Answer - A | |
| 4. |
L, C and R represent the physical quantities inductance, capacitance and resistance respectively. The combinations which have the dimensions of frequency are-A. `1/(RC)`B. `R/L`C. `1/(LC)`D. `C/L` |
| Answer» Correct Answer - A::B::C | |
| 5. |
Statement-I : Force cannot be added to pressure. Statement-II : Becausee their dimensions are different.A. Statement-I is true, Statement-II is true, Statement-II is correct explanation for statement-IB. Statement-I is true, Statement-II is true, Statement-II is NOT a correct explanation for statement-IC. Statement-I is true, Statement-II is false.D. Statement-I is false and Statement-II is true. |
| Answer» Correct Answer - C | |
| 6. |
A dimensionless quantityA. Never has unitB. Always has a unitC. May have a unitD. Does not exist |
| Answer» Correct Answer - C | |
| 7. |
Match the physical quantities given on column I with dimensions expressed in terms of mass (M) length (L) time (T), and charge (Q) given in column II and write the correct answer against the matched quantity in a tabular form in your answer book. `{:("Column-I",,"Column-II"),("Angular momentum",,[ML^(2)T^(-2)]),("Latent heat",,[ML^(2)Q^(-2)]),("Torque",,[ML^(2)T^(-1)]),("Capacitance",,[ML^(3)T^(-1)Q^(-2)]),("Inductance",,[M^(-1)L^(-2)T^(2)Q^(2)]),("Resistivity",,[L^(2)T^(-2)]):}` |
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Answer» Correct Answer - Angular momentum : `[ML^(2)T^(-1)]`; Latent heat : `[M^(-1)L^(-2)T^(2)Q^(2)]`; Torque : `[ML^(2)T^(-2)]`; Capacitance : `[L^(2)T^(-2)]`; Inductance : `[ML^(3)T^(-1)Q^(-2)]`; Resistivity : `[ML^(2)Q^(-2)]` |
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| 8. |
Discuss whether or not , angular displacement is a vector quantity ?`A. Statement-I is true, Statement-II is true, Statement-II is correct explanation for statement-IB. Statement-I is true, Statement-II is true, Statement-II is NOT a correct explanation for statement-IC. Statement-I is true, Statement-II is false.D. Statement-I is false and Statement-II is true. |
| Answer» Correct Answer - C | |
| 9. |
A physical quantity x can dimensionally represented in terms of M, L and T that is `x=M^(a) L^(b) T^(c)`. The quantity time-A. May be dimensionally represented in terms of x, M and L if `c ne 0`B. May be dimensionally represented in terms of x, M and L if `c=0`C. May be dimensionally represented in terms of x, M and L, irrespective of value of cD. Can never be dimensionally represented in terms of x, M and L |
| Answer» Correct Answer - A | |
| 10. |
Statement-I : If the initial and final positions coincide, the displacement is a null vector. Statement-II : A physical quantity can not be called a vector, if its magnitude is zero.A. Statement-I is true, Statement-II is true, Statement-II is correct explanation for statement-IB. Statement-I is true, Statement-II is true, Statement-II is NOT a correct explanation for statement-IC. Statement-I is true, Statement-II is false.D. Statement-I is false and Statement-II is true. |
| Answer» Correct Answer - A | |
| 11. |
How many minimum number of coplanar vector having different magnitudes can be added to give zero resultant?A. 2B. 3C. 4D. 5 |
| Answer» Correct Answer - B | |
| 12. |
Assertion: The dot product of one vector with another vector may be scalar or a vector. Reason: If the product of two vectors is a vector quantity, then product is called a dot product.A. Statement-I is true, Statement-II is true, Statement-II is correct explanation for statement-IB. Statement-I is true, Statement-II is true, Statement-II is NOT a correct explanation for statement-IC. Statement-I is true, Statement-II is false.D. Statement-I is false and Statement-II is true. |
| Answer» Correct Answer - B | |
| 13. |
Statement-I : A physical quantity can be regarded as a vector, if magnitude as well as direction is associated with it. Statement-II : A physical quantity can be regarded as a scalar quantity, if it is associated with magnitude only.A. Statement-I is true, Statement-II is true, Statement-II is correct explanation for statement-IB. Statement-I is true, Statement-II is true, Statement-II is NOT a correct explanation for statement-IC. Statement-I is true, Statement-II is false.D. Statement-I is false and Statement-II is true. |
| Answer» Correct Answer - C | |
| 14. |
Answer the following : (i) Can 2 similar vectors of different magnitude yield a zero resultant? Can 3 yield? (ii) Can `vec(a)+vec(b)=vec(a)-vec(b)`? (iii) If `vec(a)+vec(b)=vec(c)` & `|vec(a)|+|vec(b)|=|vec(c)|`. What further information you can have about these vectors. (iv) If `vec(a)` & `vec(b)` are two non zero vectors such that `|vec(a)+vec(b)|=|vec(a)+vec(b)|`, then what is the angle between `vec(a)` & `vec(b)`. (v) Time has a magnitude & direction. Is it a vector? (iv) When will `vec(a)xxvec(b)=vec(a).vec(b)`? (vii) Does the unit vectors `vec(i), vec(j)` & `vec(k)` have units? |
| Answer» Correct Answer - (i) No, yes (ii) yes (iii) vectors are collinear (iv) `90^(@)` (v) no (vi) never (vii) no | |
| 15. |
Assertion: Minimum number of non-equal Vectors in a plane required to give zero resultant is three. Reason: If `vec(A)+vec(B)+vec(C )= vec(0)`, then they must lie in one planeA. Statement-I is true, Statement-II is true, Statement-II is correct explanation for statement-IB. Statement-I is true, Statement-II is true, Statement-II is NOT a correct explanation for statement-IC. Statement-I is true, Statement-II is false.D. Statement-I is false and Statement-II is true. |
| Answer» Correct Answer - D | |
| 16. |
What is the angle between `vec(a)` and `vec(b)` : (i) Magnitude of `vec(a)` and `vec(b)` are `3` and `4` respectively. (ii) Area of triangle made by `vec(a)` and `vec(b)` is 10.A. Question can be solved by information I only.B. Question can be solved by information II onlyC. Question can be solved by information I and II in combined form only.D. Question can not be solved by both the informations only. |
| Answer» Correct Answer - D | |
| 17. |
Find: (i) "north cross west" `" "` (ii) "down dot south" (iii) "west dot west" (iv) "south cross south". Let each vector have unit magnitude. |
| Answer» Correct Answer - (i) up (ii) 0 (iii) 1 (iv) `vec(0)` | |
| 18. |
The value of `(vec(A)+vec(B)).(vec(A)xxvec(B))` is :- |
| Answer» Correct Answer - A | |
| 19. |
A vector `vec(A)` points verically upward and `vec(B)` points towards north. The vector product `vec(A) xx vec(B)` isA. Null vectorB. Along westC. Along eastD. Vertically downward |
| Answer» Correct Answer - B | |
| 20. |
Statement-1 : If two concentric conducing sphere which are connected by a conducting wire. No charge can exist on inner sphere. Statement-2: When charge on outer sphere will exist then potential of inner shell and outer shell will be same.A. Statement-1 is True, Statement-2 is True, Statement-2 is a cor.B. Statement-1 is True, Statement-2 is True, Statement-2 is not aC. Statement-1 is False, Statement-2 is TrueD. Statement-1 is True, Statement-2 is False. |
| Answer» Correct Answer - D | |
| 21. |
Statement-1 : If a point charge q is placed in front of an inifinite grounded conducting plane surface, the point charge will experience a force. Statement-2: This forc is due to the induced charge on the conducing surface which is at zero potentialA. Statement-1 is True, Statement-2 is True, Statement-2 is a cor.B. Statement-1 is True, Statement-2 is True, Statement-2 is not aC. Statement-1 is False, Statement-2 is TrueD. Statement-1 is True, Statement-2 is False. |
| Answer» Correct Answer - A | |
| 22. |
STATEMENT -1 : Induced charge does not contribute to electric field or potential at a give point . STATEMENT -2 : A point charge `q_0` is kept outside a solid metallic sphere , the electric field inside the sphere is zero.A. Statement-1 is True, Statement-2 is True, Statement-2 is a cor.B. Statement-1 is True, Statement-2 is True, Statement-2 is not aC. Statement-1 is False, Statement-2 is TrueD. Statement-1 is True, Statement-2 is False. |
| Answer» Correct Answer - D | |
| 23. |
Statement-1 : When two charged spheres are touched then total charge is h? Statement-2: Flow of charge take place untill potential equals.A. Statement-1 is True, Statement-2 is True, Statement-2 is a cor.B. Statement-1 is True, Statement-2 is True, Statement-2 is not aC. Statement-1 is False, Statement-2 is TrueD. Statement-1 is True, Statement-2 is False. |
| Answer» Correct Answer - C | |
| 24. |
Small identical balls with equal charges are fixed at vertices of regular 2009 -gon with side a. At a certain instant, one of the balls is released & a sufficiently long time interval later, the ball adjacent to the first released ball is freed. The kinetic energies of the relased balls are found to differ by K at a sufficiently long distance from the polygon. Determine the charge q of each part. |
| Answer» Correct Answer - `sqrt(4pi in_(0)Ka)` | |
| 25. |
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 conservatie force on an object moving along a closed loop is zero.A. Statement-1 is True, Statement-2 is True, Statement-2 is not the correct explanation of Statement-1B. Statement-1 is false, Statement-2 is TrueC. Statement-1 is False, Statement-2 is TrueD. Statement-1 is True, Statement-2 is False. |
| Answer» Correct Answer - D | |
| 26. |
`{:(,"Column I",,"Column II"),((A),"Base unit",(p),N),((B),"Derived unit",(q),hp),((C),"Improper unit",(r),"kgwt"),((D),"Practical",(s),"rad"),((E),"Supplementary unit",(t),kg):}` (Note : Here it is given that you have to match one to one only) |
| Answer» Correct Answer - (A)-t (B)-p (C)-r (D)-q (E)-s | |
| 27. |
`{:(,"Column I",,"Column II"),((A), 1 "fermi",(p),10^(-13) m),((B),1 "X-ray unit",(q),10^(-15) m),((C),1 "angstrom",(r),10^(-10) m),((D),1 "Astronomical unit",(s),9.46xx10^(15) m),((E),1 "Light year",(t),3.26 "Light year"),((F),1 "Parse",(u),3.08xx10^(16) m),(,,(v),1.49xx10^(11)m):}` |
| Answer» Correct Answer - (A)-q (B)-p (C)-r (D)-v (E)-s (F)-t, u | |
| 28. |
Which of the following group have the same dimensions.A. Velocity, speedB. Pressure, stressC. Force, impulseD. Work, energy |
| Answer» Correct Answer - A::B::D | |
| 29. |
Which of the following expressions are meaningful?A. `vec(u).(vec(v)xxvec(w))`B. `(vec(u).vec(v)).vec(w)`C. `(vec(u).vec(v))vec(w)`D. `vec(u)xx(vec(v).vec(w))` |
| Answer» Correct Answer - A::C | |
| 30. |
Which of the following system of units is not based on units of mass, length and time aloneA. `SI`B. `MKS`C. `FPS`D. `CGS` |
| Answer» Correct Answer - A | |
| 31. |
Three concurrent force of the same magnitude are in equilibrium. What is the angle between the forces? Also name the triangle formed by the forces as sides.A. `60^(@)` equilateral triangleB. `120^(@)` equilateral triangleC. `120^(@), 30^(@), 30^(@)` an isosceles triangleD. `120^(@)` an obtuse angled triangle |
| Answer» Correct Answer - B | |
| 32. |
Frequency f of a simple pendulum depends on its length l and acceleration g due to gravity according to the following equation `f=1/(2pi)sqrt(g/l)` Graph between which of the following quantities is a straight line?A. f on the odinate and l on the abscissaB. f on the ordinate and `sqrt(l)` on the abscissaC. `f^(2)` on the ordinate and l on the abscissaD. `f^(2)` on the ordinate and `1//l` on the adscissa |
| Answer» Correct Answer - D | |
| 33. |
Within a spherical charge distribution of charge density `rho(r)`, N equipotential surface of potential `V_(0), V_(0)+DeltaV, V_(0)+2DeltaV, … V_(0)+NDeltaV (DeltaV gt 0)`, are drawn and have increasing radii `r_(0), r_(1), r_(2), …. R_(N)`, respectively. If the difference in the radii of the surface is constant for all values of `V_(0)` and `DeltaV` then :-A. `rho(r) alpha 1/r^(2)`B. `rho(r)=` constantC. `rho(r)alpha 1/r`D. `rho(r) alpha r` |
| Answer» Correct Answer - C | |
| 34. |
For component of vector `vec(A)=(3hat(i)+4hat(j)-5hat(k))`, match the following table: `{:(,"Column I",,,"Column II"),((A),"Along y-axis",,(p),5 "unit"),((B),"Along another vector"(2hat(i)+hat(j)+2hat(k)),,(q),4 "unit"),((C),"Along another vector" (6hat(i)+8hat(j)-10hat(k)),,(r),"Zero"),((D),"Along another vector" (-3hat(i)-4hat(j)+5hat(k)),,(s),"None"):}` |
| Answer» Correct Answer - (A)-q, (B)-r, (C)-s, (D)-s | |
| 35. |
A force `vec(F)=(5hat(i)+3hat(j)+2hat(k))N` is applied over a particle which displaces it from its origin to the point `vec(r)=(2hat(i)-hat(j))m`. The work done on the particle in joules is-A. `-7 J`B. `+7 J`C. `+10 J`D. `+13 J` |
| Answer» Correct Answer - B | |
| 36. |
`{:(,"Column I",,"Column II",,"Column III",,"Column IV"),(,"Physical quantity",,"MKS system",,"CGS system",,"FPS system"),((A),"Length",(a),"newton",(p),"erg",(1),"poundal"),((B),"Mass",(b),m,(q),"dyne",(2),"ft-poundal"),((C),"Force",(c),kg,(r),erg//s,(3),ft),((D),"Power",(d),"joule",(s),g,(4),lb),((E),"Work",(e),"watt",(t),cm,(5),"ft-poundal"//s):}` |
| Answer» Correct Answer - (A)-b-t-3 (B)-c-s-4 (C) a-q-1 (D)-e-r-5 (E)-d-p-2 | |