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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.
| 8101. |
A particle moves along `x`-axis. The position of the particle at time `t` is given as `x=t^(3)-9t^(2)+24t+1`. Find the distance traveled in first `5` seconds.A. `20 m`B. `10 m`C. `18 m`D. `28 m` |
| Answer» Distance Travelled `=int_(0)^(5)|vecv|dt=int_(0)^(5)|3t^(2)-18t+24|dt=28` | |
| 8102. |
A cone of radius r and height h is kept on a turntable rotating with an angular velocity. The friction between te table and the cone is sufficient so that the cone does not slide. The distance between the axis of the cone and the axis of turntable is `R(Rgtgtr)`. the maximum value of `omega` for which the cone does not topple is `sqrt((xgr)/(Rh))`, calculate x. |
| Answer» `m omega^(2)R((h)/(4))=mgrrArromega=sqrt((4gr)/(Rn))` | |
| 8103. |
A particle moves along `x`-axis. The position of the particle at time `t` is given as `x=t^(3)-9t^(2)+24t+1`. Find the distance traveled in first `5` seconds. |
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Answer» Distance Travelled `=int_(0)^(5)|vecv|dt=int_(0)^(5)|3t^(2)-|8t+24|dt=28`. |
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| 8104. |
A particle initially at rest on a smooth horizontal surface, is acted on by a constant horizontal force at time `t=0` then if W= work, done t=time and v=speed of the particle, the nearly correct graph (s) is //areA. C. D. |
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Answer» Correct Answer - A::B::C::D `w=DeltaKE` (A)`w=1/2mv^(2)=1/2m(F/mt)^(2)` (B)`w=1/2(f^(2))/m t^(2)` (C)`v^(2)=(f/m)^(2)t^(2)` (D) `w=1/2(f^(2))/m t^(2)` |
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| 8105. |
Column I gives physical quantities based on a situation in which an ideal cell of emf V is connected across a cylindrical rod of uniform cross-section area and conductivity (sigma) as shown in figure E, J, phi and I are electric field at, current density through, electric flux through and current through shaded cross section repectively as shown in figure. Physical quantities in column-II are equal to those in column i Match the expression in Column I with the statement in Column II `{:(,"Column-I",,"Column-II"),("(A)",phi/i,,"(P)Conductivity of rod"),("(B)",E/J,,"(Q) Resistance of rod"),("(C)",sigma phiV,,"(R)Resistivity of rod"),("(D)",V/sigmaphi,,"(S)Power delivered to rod"):}` |
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Answer» Correct Answer - [(A)R(B)R;(C)S;(D)Q] (A) `phi/i=(vec(E) . vec(A))/(jA)=vec(E)/j=rho` (C) `sigmaphiV=(phiV)/rho=(EAV)/rho=(V^(2)A)/(rhoL)=V^(2)//R` (D) `V/(sigmaphi)=(Vrho)/phi=(Elrho)/(EA)=R` |
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| 8106. |
A parallel plate capacitor is connected to a battery. The plates are pulled apart with uniform speed. If x is the separation between the plates, then the rate of change of electrostatic energy of the capacitor is proportional toA. `x^2`B. `x`C. `1/x`D. `1/x^2` |
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Answer» Correct Answer - D d. The capacitance of capacitor `C` is `(epsilon_(0)AV)/(x):U=(1)/(2)qV=(1)/(2)(epsilon_(0)AV^(2))/(2 x)` So, `(du)/(dt)=(1)/(2)epsilon_(0)AV^(2) (-(1)/(x^(2)))(dx)/(dt)` `=(1)/(2)epsilon_(0)AV^(2)V(-(1)/(x^(2)))` From the earlier expression, `(dU)/(dt)prop(1)/(x^(2))` |
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| 8107. |
`{:(,"Column-I",,"Column-II"),("(A)",underset("Plate air core capacitor are slowly pulled apart")"Plates of an isolated charged parallel",,underset("increases in the process")"(P)Electric energy stored inside capacitor increases in the process"),("(B)",underset("air cored capacitor to completely fill the space between plates")"A dielectric is slowly inserted inside an isolated and charged parallel plate",,underset("capacitor remain unchanged")"(Q)Force between the two plates of the"),("(C)",underset("connected across a battery are slowly pulled apart")"Plates of a parallel plate capacitor",,underset("plates remain unchanged")"(R) Electric field in the region between"),("(D)",underset("a battery to completely fill the space between plates")"A dielectric slab is slowly inserted inside a parallel plate capacitor conneted across",,underset("capacitor decreases in the process")"(S)total electric energy stored inside"),(,,,"(T)Electriec field in the region between plates decreases"):}` |
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Answer» Correct Answer - [(A)PQR(B)QST(C)ST(D)PR] (A) Field remains same as charge is same Hence energy stored increases (P) & (Q) as field is same and (R) (B) Since distance between plate and charge remains same and field decreases (s&T) `F=(Q^(2))/(2 in_(0) A)` charge is same hence force remain same (Q) (C) Since connected to battery P.D remains same and as distance increases the electric field decreases (T) Also as capacitance decreases the charge also decreases decreasing the force of interaction (D) Capacitance increases and P.D remaining same, thus charge and energy increases (P) and force of interaction increases Field remains same as distance and P.D remains same (R) and energy increases as |
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| 8108. |
A positively charged ball hangs from a long silk thread. Electric filed at a certain point (at the same horizontal level of ball) due to this charge is E. Let us put a positive test charge `q_(0)` at this point and measure `F//q_(0)` on this charges. then EA. `gtF//q_(0)`B. `=F//q`C. `ltF//q_(0)`D. cannot be estimated |
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Answer» Correct Answer - a due to presence of test charge `q_(0)` in front of positively chrged ball there would be redistriubtion of charge on the ball In the redistribution of chrge , there will be less chrge on front lhalf surface and more charge on the back half surface as result the net force F between ball and charge will decresse i.e the electric field is decreased . Thus actual electric field will be greater than `F//q_(0)` |
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| 8109. |
Two identical metallic spheres of exactly equal masses are taken. One is given a poistive charge Q coulombs and the other an equal negative charge. Their masses after charging are different. |
| Answer» The statement is ture. The metallic sphere that gets negtively charged gains electons and hence its mass increases. The metallic sphere which gets postively charged loses electons and hence its mass decreases. | |
| 8110. |
Two protons A and B are placed in between the two plates of a parallel plate capacitor charged to a potential difference V as shown in the figure. The forces on the two protons are identical. |
| Answer» The electric field produced between the parallel plate capacitor in uniform. The form acing on a charged particle placed in an electirc field is given by `F=qE`. In the case of two protons, | |
| 8111. |
A ball bearing of radius of `3mm` made of iron of density `7.85g cm^(-3)` is allowed to fall through a long column of glycerine of density `1.25gcm^(-3)`. It is found to attain a terminal velocity of `2.20cms^(-1)`. Determine the viscosity of glycerine in centipoise. `(` Take `g=10m//s^(2))` |
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Answer» Correct Answer - 6000 `Ans. 6000` |
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| 8112. |
A small metal ball is suspended in a uniform electric field with the help of an insulated thread. If high energy X-ray beam falls on the ball, the ball will be deflected in the direction of the field. |
| Answer» When a high-energy x-ray beam fails, it will knowk out electons from the small metal ball making it positively charged. Therefore, the ball will be deflected in the direction of electric field. | |
| 8113. |
Two block of masses 10 kg and 4 kg are connected by a spring of negligible mass and placed on a frictionless horizontal surface. An impluse given a velocity of 14 m/s to the heavier block in the direction of the leghter block. The velocity of centre of mass is :A. 30 m/sB. 20 m/sC. 10 m/sD. 5 m/s |
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Answer» Correct Answer - C `vec(v)_(COM) = (10 xx 14 + 4 xx 0)/(10 + 4)` `vec(v)_(COM) = (10 xx 14 + 4 xx 0)/(10 + 4)` |
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| 8114. |
Three bodies each of mass `2kg` are arranged as shown in figure. The coefficient of kinetic frication between `B` & `C` is `0.4` and between `C` and ground is `0.1`. Then choose the correct option(s). A. The acceleration of block `A` is `1 m//s^(2)`B. The acceleration of block `A` is `3 m//s^(2)`C. The acceleration of block `C` is `2 m//s^(2)`D. The acceleration of block `B` is `1 m//s^(2)` |
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Answer» Correct Answer - B::C For `A` & `B` `20 - T = 2a` `T - 8 = 2a` `a_(B) = 3 m//s^(2)` For `C` `a_(C) = 2 m//s^(2)` `a_(BC) = 1 m//s^(2)` From equation `S_(BC) = 0 + (1)/(2) a_(BC)t^(2)` `rArr 2 = (1)/(2) xx 1 xx t^(2)` `t = 2 sec` `S_(C) = 0 + (1)/(2)a_(C)t^(2)` `S_(C) = 4m` |
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| 8115. |
A block of mass m is placed on a horizontal surface. The coefficient of frication between them is `mu`. The block has to be moved by applying a single external force on it. The force may be applied in my direciton. The minimum value of this force must beA. `mg`, applied vertically upward, if `mu gt 1`B. `mumg`, applied horizontally, if `mu lt 1`C. `(mumg)/(sqrt(mu^(2) + 1))` for all values of `mu`D. `(mu^(2)mg)/(mu^(2) +1)` for all values of `mu` |
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Answer» Correct Answer - C |
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| 8116. |
A body of mass m accelerates uniformly from rest to velocity `v_(0)` in time `t_(0)`. What is the instantaneous power delivered to the body when its velocity is `(v_(0))/(2)` ?A. `(mv_(0)^(2))/(4t_(0))`B. `(mv_(0)^(2))/(t_(0))`C. `(mv_(0)^(2))/(2t_(0))`D. None of the above |
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Answer» Correct Answer - C Acceleration `a = (v_(0))/(t_(0))` Force on the body `F = (mv_(0))/(t_(0))` Instantaneous Power `= P = (mv_(0))/(t_(0)) (v_(0))/(2) = (mv_(0)^(2))/(2t_(0))` |
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| 8117. |
Three charges Q, +q and +q are placed at the vertices of a right angle triangle (isoscles triangle) as shown. The net electrostatic energy of the configuration is zero, if Q is equal to : A. `(-q)/(1+sqrt(2))`B. `(-2q)/(2+sqrt(2))`C. `-2q`D. `+q` |
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Answer» Correct Answer - B Net electrostatic energy of the configuration will be `U=K[(q.q)/a+(Q.q)/sqrt(2a)+(Q.q)/q]=OrArr Q=(-2q)/(2+sqrt(2))` |
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| 8118. |
A lift can hold 2000 kg, friction is 4000 N and power provided is 60 HP. (1 HP = 746 W) Find the maximum speed with which lift can move up.(1) 1.9 m/s (2) 1.7 m/s (3) 2 m/s (4) 1.5 m/s |
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Answer» Answer is (1) 4000 × V + mg × V = P {60 x 7446}/{4000 + 20000} = V V = 1.86 m/s ≈ 1.9 m/s |
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| 8119. |
In image formation from spherical mirrors, only paraxial rays are considered because they(a) are easy to handle geometrically(b) contain most of the intensity of the incident light(c) form nearly a point image of a point source(d) show minimum dispersion effect |
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Answer» (c) form nearly a point image of a point source EXPLANATION: The reflected rays from a point source in a spherical mirror do not meet at a single point. To avoid it, rays close to the principal axis (Paraxial rays) are taken. It forms nearly a point image of a point source. |
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| 8120. |
A positively charged sphere of radius `r_(0)` carries a volume charge density `rho_(E)` (Figure). A spherical cavity of radius `r_(0)//2` is then scooped out and left empty, as shown. What is the direction and magnitude of the electric field at point B? A. `(17rhor_(0))/(54in_(0)) l eft`B. `(rho_(0))/(6in_(0))l eft`C. `(17rhor_(0))/(54in_(0))right`D. `(rhor_(0))/(6in_(0)) right` |
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Answer» Correct Answer - A Electric field on surface of a uniformly charged square is given by `Q/(4pivarepsilon_(0)R^(3)) = (rhoR)/(3varepsilon)_(0)` Electric field at outside point is given by `E=Q/(4pivarepsilon_(0)r^(2))=(rhoR^(3))/(3varepsilon_(0)r^(2))` `|vec(E)_(r)| = (rhor_(0))/(3varepsilon_(0)) - (rho(r_(0)/2)^(3))/(3varepsilon_(0)((3r_(0))/2)^(2))=(17rhor_(0))/(54varepsilon_(0))` |
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| 8121. |
A uniform potentiometer wire AB of length 100 cm has a resistance of `5Omega` and it is connected in series with an external resistance R and a cell of emf 6 V and negligible internal resistance. If a source of potential drop 2 V is balanced against a length of 60 cm of the potentiometer wire, the value of resistance R isA. `1Omega`B. `2Omega`C. `4Omega`D. `6Omega` |
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Answer» Correct Answer - C Current through the potentiometer wire is `l=(6)/(R+5)` `thereforeV=(6xx3)/((R+5))` `2=(18)/(R+5)` `R+5=9` `R=4Omega`. |
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| 8122. |
There are pictures of ______ in the newspapers everyday. I really don’t want to see them. A) peace B) freedom C) people D) violence |
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Answer» Correct option is D) violence |
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| 8123. |
What do the underlined words in the following paragraph refer to? Salim took the rare looking bird to his uncle and asked him what kind of bird it was. His uncle examined it and was unable to satisfy Salim’s curiosity. He took Salim to W.S. Millard, who was surprised to see such a young boy keen about birds. Millard took Salim and showed him many stuffed birds at the society, where he worked. 1. him : ……………………….. 2. it : ……………………….. 3. who : ……………………….. 4. where : ……………………….. |
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Answer» 1. uncle 2. the bird 3. W. S. Millard 4. the society. |
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| 8124. |
He’s rather tall _____ his age, and looks older than he is. A) as B) to C) for D) in |
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Answer» Correct option is C) for |
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| 8125. |
Galileo is supposed _____ the telescope. A) having invented B) have invented C) to have invented D) to invent |
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Answer» Correct option is C) to have invented |
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| 8126. |
_____ me that you’ll always tell the truth. A) Advise B) Waste C) Promise D) Invent |
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Answer» Correct option is C) Promise |
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| 8127. |
When ______ television ______? A) did / invent B) was / invent C) was / invented D) is / invented |
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Answer» Correct option is C) was / invented |
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| 8128. |
I’m very flattered that you want me to make the speech at the end-of-term party, but, to be honest with you, I don’t really ______ it (think I’m capable of doing it). A) feel up to B) feel for C) feel on to D) feel by |
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Answer» Correct option is A) feel up to |
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| 8129. |
I don’t want ________ . A) that anybody saw me B) anybody to see me C) that anybody sees me D) anybody see me |
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Answer» Correct option is B) anybody to see me |
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| 8130. |
He spends hours _____ a time _____ the countryside looking _____ rare birds and flowers. A) at / at / at B) at / in / for C) at / in / after D) on / in / for |
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Answer» Correct option is B) at / in / for |
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| 8131. |
What do you think are the requirements to attain success in life? Write them below: |
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Answer» a) Determination b) Hard work and perseverance c) Support of different kinds d) Motivation e) Faith in self f) Adequate material and intellectual resources |
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| 8132. |
Which of the following are open, close or nearly isolated system? (a) Human being (b) The earth (c ) Can of tomato soup (d) Ice-cube tray filled with water, (e) A satellite in an orbit (f) Coffie in a thermos flask, and (g) Helium-filled balloon. |
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Answer» a. Humman being: Open system b. The earth: Open system c. Can of tomato soup: Open system d. Ice-cube tray filled with water: Open system e. A satallite in orbit: Open system f. Coffee in a thermos flask: Isolated system g. Helium filled ballon: Closed system |
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| 8133. |
Complete the following dialogue between a customer and hotel waiter. Nila : (i) ……… please? Waiter : Yes Ma’am, here is the menu card. Nila : Thank you. Can I have hot tomato soup? I shall order the main course after that. Waiter : Okay, Mam. Please take a look (ii) ……… We take (iii) …………Nila : I would like to have a bowl of Mushroom fried rice with Chicken Manchurian. Waiter : Yes ma’am. I will bring Mushroom fried rice with Chicken Manchurian right away. |
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Answer» (i) Can I have the menu card (ii) at the Menu and make your order (iii) ten minutes to serve your dish |
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| 8134. |
I object _____ being treated as a fool. A) of B) to C) at D) in |
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Answer» Correct option is B) to |
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| 8135. |
An example of cold soup- a) Tomato soup b) Sweet corn soup c) Sarki soup d) Vegetable soup |
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Answer» Correct answer is c) Sarki soup |
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| 8136. |
To "think up" is to _____ something. A) aim for B) improve C) invent |
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Answer» Correct option is C) invent |
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| 8137. |
The children had gotten dressed in their best clothes. The weather was sunny if not warm. _____ He finally got up and the children gave a cheerful yell and went running to the door. A) The rain had finally stopped. B) The children had been stuck indoors all winter long. C) Their new clothes had been hanging in their closet for several weeks and they had been looking forward to showing off while strolling through the town. D) Their mother had told them that their father was too ill to go anywhere and that they shouldn't try to take up his Sunday. E) They had tried everything to get their father to take them out this Sunday but they had been unsuccessful up to now |
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Answer» Correct option is E) They had tried everything to get their father to take them out this Sunday but they had been unsuccessful up to now. |
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| 8138. |
The girl was dressed ___ the latest fashion but my clothes were quite ___ fashion. A) after / out B) by / out C) in / out of D) for / off E) on / to |
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Answer» Correct option is C) in / out of |
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| 8139. |
To "zero in on" is to _____ something. A) aim for B) adjust C) alter |
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Answer» Correct option is A) aim for |
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| 8140. |
I’m very keen ___ bread usually, but I’m very fond ___ home bread. A) at / of B) in / at C) on / at D) on / of |
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Answer» Correct option is D) on / of |
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| 8141. |
Come and see me _____ you want. I don’t mind. A) some time B) any time C) no timeD) every time |
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Answer» Correct option is B) any time |
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| 8142. |
Do you believe that you also can fly high in your life? |
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Answer» Yes, I do believe that I also can fly high in my life. With determination and hard work I can do it. |
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| 8143. |
He got used _____ funny customs, living _____ the country. A) to / in B) of / in C) in / at D) for / in |
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Answer» Correct option is A) to / in |
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| 8144. |
To "set your sight" on something means to _____ something. A) aim for B) look for C) ask for |
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Answer» Correct option is A) aim for |
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| 8145. |
When you say that you will do something for somebody, you ______. A) shout B) promise C) ask D) tell |
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Answer» Correct option is B) promise |
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| 8146. |
If you need _____, just ask. A) something B) anything C) nothing D) everything |
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Answer» Correct option is A) something |
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| 8147. |
It’s supposed to be good _____ the nerves and sleeplessness. A) to B) at C) for D) in |
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Answer» Correct option is C) for |
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| 8148. |
What is the theme of the story? |
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Answer» The theme of the story is building confidence and self-reliance in youngsters. |
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| 8149. |
What is your impression of the reaction of the parents in the story? |
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Answer» The parents are wise and clever. They want the young bird to be independent and self reliant. The mother brings a piece of fish very close to the young bird and forces him to leap forward to get it. That leap forces him to use his wings and fly. Initially he is terrified but soon he enjoys flying. The reaction of the parents was quite appropriate. They too are happy to see their child confident and self-reliant. That is why they fly with him cackling joyously. |
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| 8150. |
Your parents sometimes behave in the same manner. They may seem cruel and unrelenting. Does it mean that they do not love you? |
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Answer» The parents sometimes behave in this cruel and unrelenting manner to make you self reliant. It doesn’t mean they do not love you. It means they love you and that is why they train you to be independent and self reliant. If they treat you as a helpless baby all the time, you will remain a helpless baby. So it is their love that forces them to be seemingly cruel and unrelenting at times. |
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