Solved papers for JCECE Engineering JCECE Engineering Solved Paper-2004
done JCECE Engineering Solved Paper-2004 Total Questions - 150
question_answer1) The direction of vector \[\overset{\to }{\mathop{\mathbf{A}}}\,\] is reversed. What are the values of \[\Delta \overset{\to }{\mathop{\mathbf{A}}}\,\]A and\[\Delta |\overset{\to }{\mathop{\mathbf{A}}}\,|\]?
question_answer2) The velocity of a body moving with uniform acceleration at a given instant of time \[t\] is\[10\,\,m/s\]. After \[5\,\,s\] its velocity is \[20\,\,m/s\]. Distance travelled in that time is:
question_answer3) A stone falls freely such that the distance covered by it in the last second of its motion is equal to the distance covered by it in the first\[5\,\,s\]. It is in air for:
question_answer4) A child is swinging a swing. Minimum and maximum heights of swing from earth's surface are \[0.75\,\,m\] and \[2\,\,m\] respectively. The maximum velocity of this swing is:
question_answer5) An object is thrown along a direction making an angle \[{{45}^{o}}\] with the horizontal direction. The horizontal range of the object is equal to:
question_answer6) A fireman wants to slide down a rope. The breaking load for the rope is \[\frac{3}{4}th\] of the weight of the man. With what acceleration should the fireman slide down? (Acceleration due to gravity is\[g)\]
question_answer7) A body of mass \[1\,\,kg\] is rotating in a vertical circle of radius \[1\,\,m\]. What will be the difference in kinetic energy at the top and at the bottom of the circle? (Take\[g=10\,\,m/{{s}^{2}})\]
question_answer9) A satellite is evolving around the earth in a circular orbit of radius 4 times that of the parking orbit, The time period of the satellite is:
question_answer11) If the condenser shown in the circuit is charged to \[5\,\,V\] and left in the circuit, in \[12\,\,s\] the charge on the condenser will become:
question_answer12) A sings with a frequency \[(n)\] and \[B\] sings with a frequency \[1/8\] that of \[A\]. If the energy remains the same and the amplitude of \[A\] is \[a,\] the amplitude of \[B\] will be:
question_answer13) Reactance of a capacitor of capacitance \[C\,\,\mu F\] for \[AC\] frequency \[\frac{400}{\pi }Hz\] is \[25\Omega \], the value of \[C\] is:
question_answer16) A force of \[7\widehat{\mathbf{i}}+6\widehat{\mathbf{k}}\] makes a body to move on a plane with the velocity \[3\widehat{\mathbf{j}}+4\widehat{\mathbf{k}}\]. The power developed is:
question_answer17) The variation of \[PV\] with \[V\] of a fixed mass of an ideal gas at constant temperature is graphically represented by as shown in figure:
question_answer18) The number of oxygen molecules in a cylinder of volume \[1\,\,{{m}^{3}}\] at a temperature of \[{{27}^{o}}C\] and pressure of \[13.8\,\,Pa\] is: (Boltzmann's constant\[k=1.38\times {{10}^{-23}}J\,\,{{K}^{-1}})\]
question_answer19) The minimum magnifying power of a telescope is \[M\]. If the focal length of the eye lens is halved, the magnifying power will become:
question_answer21) A convergent doublet of separated lens, corrected for spherical aberration, are separated by \[2\,\,cm\] and has an equivalent focal length of \[10\,\,cm\]. The focal length of its component lenses are:
question_answer22) In Young's experiment using light of wavelength \[6000\overset{\text{o}}{\mathop{\text{A}}}\,\], fringe width obtained at distance \[2.5\,\,m\] is \[0.8\,\,mm\]. If the entire apparatus is immersed in a liquid of refractive index \[1.6\], the fringe width will be:
question_answer23) In double slit experiment, the angular width of interference fringes with sodium light \[(\lambda =5890\overset{\text{o}}{\mathop{\text{A}}}\,)\] is \[{{0.20}^{o}}\]. The change in wavelength required to increase the angular width by \[10%\] will be:
A)
zero
doneclear
B)
increased by \[6479\overset{\text{o}}{\mathop{\text{A}}}\,\]
doneclear
C)
increased by \[589\overset{\text{o}}{\mathop{\text{A}}}\,\]
doneclear
D)
decreased by \[589\overset{\text{o}}{\mathop{\text{A}}}\,\]
question_answer24) \[SHM\] is executed by a particle of mass \[m\]. The displacement of the particle is \[\left( \frac{1}{\sqrt{2}} \right)\] times the amplitude. What fraction of the total energy is kinetic at this displacement?
question_answer26) The volume of a metal sphere increases by \[0.15%\] when its temperature is raised by\[{{24}^{o}}C\]. The coefficient of linear expansion of metal is:
question_answer27) The radii of two soap bubbles are \[{{r}_{1}}\] and \[{{r}_{2}}\] \[({{r}_{2}}>{{r}_{1}})\]. When they come into contact, the radius of their common interface is:
question_answer28) A ray of light is incident on the surface of a glass slab at \[{{60}^{o}}\]. The refractive index of glass, if the reflected and refracted rays are mutually perpendicular to each other, will be:
question_answer29) A stretched string is \[1\,\,m\] long. It?s mass per unit length is \[0.5\,\,g/m\]. It is stretched with a force of \[20\,\,N\]. It is plucked at a distance of \[25\,\,cm\] from one end. The frequency of note emitted by it will be:
question_answer30) A transverse wave is given by \[y=A\sin 2\pi (f\,\,t-x/\lambda )\] . The maximum particle velocity is \[4\] times the wave velocity when:
question_answer32) The wavelength of first member of Lyman series is \[1215\overset{\text{o}}{\mathop{\text{A}}}\,\]. The wavelength of \[{{H}_{\alpha }}\] line is:
question_answer33) When silver is irradiated by ultraviolet light of \[1000\overset{\text{o}}{\mathop{\text{A}}}\,\], potential of \[7.7\,\,V\] is required to stop the photo electrons. The work function of silver will be:
question_answer39) Radioactive nuclei that are injected into a patient collected at certain sites within its body, undergoing radioactive decay and emitting electromagnetic radiation. These radiations can then be recorded by a detector. This procedure provides an important diagnostic tools called:
question_answer40) If \[R,\,\,\,C\] and \[L\] denote resistance, capacitance and inductance. Which of the following will not have the dimensions of frequency?
question_answer43) In an ammeter, \[4%\] of the main current is passing through galvanometer. If the galvanometer is shunted with a \[5\Omega \] resistance, the resistance of the galvanometer is:
question_answer44) If \[100\,\,kWh\] of energy is consumed at \[33\,\,V\] in a copper voltameter, what is the mass of copper liberated? (Electrochemical equivalent of copper is\[0.33\times {{10}^{-6}}kg/C)\]
question_answer45) Four identical resistors when connected in series dissipate \[5\,\,W\] power. If they are connected in parallel, the power dissipated will be:
question_answer46) What is the magnitude of the point charge due to which the electric field 30 cm away has the magnitude of\[2N/C?\] \[\left( \frac{1}{4\pi {{\varepsilon }_{0}}}=9\times {{10}^{9}}N{{m}^{2}}/{{C}^{2}} \right)\]
question_answer48) A triode valve has an amplification factor of \[20\] and its plate is given a potential of \[300\,\,V\]. The grid voltage to reduce the plate current to zero is:
question_answer49) In an ideal parallel \[LC\] circuit, the capacitor is charged by connecting it to a \[DC\,\] source which is then disconnected. The current in the circuit:
question_answer54) The reaction,\[C{{H}_{3}}COC{{H}_{3}}\xrightarrow[(ii)\,\,KOH,\,\,glycol]{(i)\,\,N{{H}_{2}}N{{H}_{2}}}C{{H}_{3}}C{{H}_{2}}C{{H}_{3}}\]is known as:
question_answer70) Four gases ethane, ethene, ethyne and propene are passed into a wolf bottle containing ammoniacal \[AgN{{O}_{3}}\] solution. Which gas will come out of wolf bottle?
question_answer74) The heat of formation of \[MgO,\,\,A{{l}_{2}}O\] and \[Si{{O}_{2}}\] are \[-692,\,\,\,-1676,\,\,\,-911,\,\,\,kJ\,\,mo{{l}^{-1}}\]. Most stable oxide is:
question_answer84) A \[0.5\,\,g/L\] solution of glucose is found to be isotonic with a \[2.5\,\,g/L\] solution of an organic compound. What will be the molecular weight of that organic compound?
question_answer106) The resultant of two forces \[P\] and \[Q\] is \[R\]. If the direction of \[P\] is reversed keeping the direction \[Q\] same, the resultant remains unaltered. The angle between \[P\] and \[Q\] is:
question_answer107) The distance \[s\] (in cm) travelled by a particle in\[t\] seconds is given by\[,\] \[s={{t}^{3}}+2{{t}^{2}}+t\]. The speed of the particle after \[1\,\,s\] will be:
question_answer109) The height of a tower is\[7848\,\,cm\]. A particle is thrown from the top of the tower with the horizontal velocity of \[1784\,\,cm/s\]. The time taken by the particle to reach the ground is (g \[=981\,\,cm/{{s}^{2}})\]:
question_answer113) If\[{{(1+x-2{{x}^{2}})}^{6}}=1+{{a}_{1}}x+{{a}_{2}}{{x}^{2}}+...+{{a}_{12}}{{x}^{12}}\] then the value of\[{{a}_{2}}+{{a}_{4}}+...+{{a}_{12}}\]is:
question_answer115) Two trains are \[2\,\,km\] apart their lengths are \[200\,\,m\] and \[300\,\,m\]. They are approaching towards each other with speed of \[20\,\,m/s\] and \[30\,\,m/s\] respectively. After how much time will they cross each other?
question_answer120) A block weighing \[w\], is supported on an inclined surface with the help of a horizontal force \[P\]. The same block can be supported with the help of another force \[Q\] acting parallel to the inclined surface, then \[\frac{1}{{{p}^{2}}}+\frac{1}{{{w}^{2}}}\] is equal to:
question_answer122) Two cards are drawn one by one from a pack of cards. The probability of getting first card an ace and second a coloured one is (before drawing second card first card is not placed again in the pack):
question_answer123) A particle is displaced from the point\[A(5,\,\,-5,\,\,-7)\]to the point\[B(6,\,\,2,\,\,-2)\]under the influence of the forces\[{{P}_{1}}=10\widehat{\mathbf{i}}-\widehat{\mathbf{j}}+11\widehat{\mathbf{k}}\],\[{{P}_{2}}=4\widehat{\mathbf{i}}+5\widehat{\mathbf{j}}+6\widehat{\mathbf{k}}\]\[{{P}_{3}}=-2\widehat{\mathbf{i}}+\widehat{\mathbf{j}}-9\widehat{\mathbf{k}}\], the work done is:
question_answer127) Let \[A,\,\,B\] and \[C\] are the angles of a plain triangle and\[\tan \left( \frac{A}{2} \right)=\frac{1}{3},\,\,\tan \left( \frac{B}{2} \right)=\frac{2}{3}\]. Then\[\tan \left( \frac{C}{2} \right)\] is equal to:
question_answer130) The volume of the solid formed by rotating, the area enclosed between the curve \[y={{x}^{2}}\] and the line \[y=1\] about \[y=1\] is (in cubic unit):
question_answer144) A ball weighing \[2\,\,kg\]and speed\[6\,\,m/s\]collides with another ball of \[4\,\,kg\] moving in opposite direction with speed of \[3\,\,m/s\]. They combine after the collision. The speed of this combined mass in \[m/s\] is:
question_answer145) If\[\alpha ,\,\,\beta ,\,\,\gamma \]are the roots of the equation\[{{x}^{3}}+4x+1=0\]then\[{{(\alpha +\beta )}^{-1}}+{{(\beta +\gamma )}^{-1}}+{{(\gamma +\alpha )}^{-1}}\]is equal to:
question_answer147) Forces \[P\] and \[Q\] acting at a point \[O\] make an angle \[{{150}^{o}}\] between them. Their resultant acts at \[O\], has magnitude \[2\] unit and is perpendicular to \[P\]. Then in the same unit, the magnitudes of \[P\] and \[Q\] are:
question_answer148) A person observes the angle of depression of a building as \[{{30}^{o}}\]. The person proceeds towards the building with a speed of \[25(\sqrt{3}-1)m/h\]. After two hours, he observes the angle of elevation as \[{{45}^{o}}\]. The height of the building (in \[m)\] is: