Solved papers for RAJASTHAN PET Rajasthan PET Solved Paper-2006
done Rajasthan PET Solved Paper-2006 Total Questions - 150
question_answer1) An \[\alpha \]-particle is emitted with velocity v from \[_{92}{{U}^{238}}\]nucleus placed at rest. The rebound velocity of the remaining nucleus will be
question_answer2) \[_{90}{{X}^{200}}\,\xrightarrow[{}]{{}}{{\,}_{80}}{{Y}^{168}}.\]In this reaction how many \[\alpha \] and \[\beta \]-particles are emitted?
question_answer3) The count rate of Geigez -Muller counter for the radiation of a radioactive material of half life of 30 min decreases to\[5{{s}^{-1}}\]after 2 h the initial count rate was
question_answer5) The figure represents the observed intensity of X-rays emitted by an X-ray tube as a function of wavelength. The sharp peaks A and B denote
question_answer7) An electric field is in the X- direction. If the work done to displace 0.2 C charge to 2m at an angle of \[60{}^\circ \]from X-axis along a straight line is 4 J, then the value of E will be
question_answer9) A heater coil is labelled 100 W, 220 V. The coil is cut into two equal halves and the two pieces are joined in parallel to the same source. The energy now liberated per second is
question_answer10) A straight conductor of length 0.4 m is moved with a speed of 7 m/s perpendicular to the magnetic field of intensity of\[0.9Wb/{{m}^{2}}\]. The induced emf across the conductor will be
question_answer11) When the key K is pressed at tune\[t=0,\]which of the following statements about the current I in the resistor AB of the given circuit is true
A)
\[i=2\text{ }mA\]at all t
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B)
\[i\]oscillates between 1mA and 2mA
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C)
\[i=1\text{ }mA\] at all t
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D)
at \[t=0,i=2\text{ }mA\]and with time it goes to 1mA
question_answer13) The figure indicates the energy level diagram of an atom and the origin of six spectral line in emission (.e.g., line no. 5 aries from the transition from level B to A). The following spectral lines will also occur in the absorption spectrum
question_answer14) A lens is placed between a source of light and wall. It forms image of area\[{{A}_{1}}\]and\[{{A}_{2}}\]on the wall for its two different positions. The area of the source of light is
question_answer15) Efficiency of a Carnot engine is 40% when temperature of outlet is 500 K. In order to increase efficiency up to 50% keeping temperature of intake the same. What is temperature of outlet?
question_answer16) The heat is flowing through two cylindrical rods of same material. The diameters of the rods are in the ratio 1:2 and their lengths are in the ratio 2 : 1. If the temperature difference between their ends is the same, the ratio of rate of flow of heat through them will be
question_answer18) A hospital uses an ultrasonic a scanner to locate tumours in a tissue. The operating frequency of the scanner is 4.2 MHz. The speed of sound in a tissue is 1.7 km/s. The wavelength of sound in the tissue is close to
question_answer19) A bucket full of water is kept in a room and it cools from\[80{}^\circ C\]to\[70{}^\circ C\]in\[{{t}_{1}}\]min from\[75{}^\circ C\]to \[70{}^\circ C\]in\[{{t}_{2}}\]min and from\[70{}^\circ C\]to\[65{}^\circ C\]in\[{{t}_{3}}\]min then
question_answer20) The earth of mass\[6\times {{10}^{24}}\]kg. with\[2\times {{10}^{-7}}\]rad/s angular velocity is moves around the sun at \[15\times {{10}^{8}}\]km radius. The force on the earth by sun is
question_answer21) Water drops fall at regular intervals from a tap which is 5m above the ground. The third drop is learning the tap at the instant the first drop touches the ground. How for above the ground is the second drop at that instant?
question_answer23) A simple pendulum with a bob of mass m oscillates from A to C and back to A such that PB is H. If the acceleration due to gravity is g, then the velocity of the bob as it passes through B is
question_answer24) The gravitational constant is G and radius of earth is\[{{R}_{e}},\]The relation between average density \[\rho \] of earth to gravitational acceleration will be
question_answer25) The position vector of the particle is\[r=(a\cos \,\,\omega t\,)\,\overset{\hat{\ }}{\mathop{i}}\,\,(a\,\sin \,\omega t)\,\overset{\hat{\ }}{\mathop{j}}\,.\] The velocity of particle is
question_answer26) The position of a particle at time (t) is given by \[x(t)=({{v}_{0}}/\alpha )(1-{{e}^{-\alpha t}})\]. Here v0 and\[\alpha \]are constants and\[a>0\]. The dimension of v0 and \[\alpha \] are
question_answer27) In the case of forward biasing of p-n junction. Which one of the following figures correctly depicts the direction of flow of charge carries?
question_answer28) The binding energies per nucleon for a deuteron and an \[\alpha \]-particle are\[{{x}_{1}}\]and\[{{x}_{2}}\]respectively. What will be the energy Q released in the reaction? \[_{1}{{H}^{2}}{{+}_{1}}{{H}^{2}}{{\xrightarrow[{}]{{}}}_{2}}H{{e}^{4}}+Q\]
question_answer29) An electron makes a transition from orbit\[n=4\]to be the orbit\[n=2\]of a hydrogen atom. The wave number of the emitted radiations (R = R vdberg's constant) will be
question_answer31) An electron of mass m when accelerated through a potential difference V has de-Broglie wavelength\[\lambda \]. The de- Broglie wavelength associated with a proton of mass M accelerated through the same potenial difference will be
question_answer32) A charge q is placed at the centre of the line joining two equal charges Q. The system of the three charges will be in equilibrium, if q is equal to
question_answer33) Two metals sphere of 1 cm and 20 cm radii are given charges\[{{10}^{-2}}C\]and\[5\times {{10}^{-2}}C\]respectively. If both the spheres are connected to metal wire, the final charge on the smaller sphere will be
question_answer34) Two wires of same metal have the same length but their cross-section are in the ratio 3:1. They are joined in series. The resistance of the thicker wire is 10\[\Omega \]. The total resistance of the combination will be
question_answer35) Two particles X and Y hiving equal charges, after being accelerated through the same potential difference, enter a region of uniform magnetic field and describes circular path of radius \[{{R}_{1}}\] and \[{{R}_{2}}\] respectively. The ratio of mases of X to that of Y is
question_answer36) In an AC circuit V and i are given by \[V=200\text{ }sin\](100t) V, \[i=5\text{ }sin\]\[\left( 10t-\frac{\pi }{2} \right)A.\] The power dissipated in circuit will be
question_answer37) The work done in turning a magnet of magnetic moment M by angle of \[90{}^\circ \] from the meridian is n times the corresponding work done to turn it through an angle of \[60{}^\circ \] where n is given by
question_answer38) A star of emitting radiation 5000\[\overset{o}{\mathop{\text{A}}}\,\]is coming towards the earth with velocity\[1.5\times {{10}^{6}}m/s\]. The change of wavelength of radiation on earth will be
question_answer39) The exposure time of a camera lens at the \[\frac{f}{2.8}\]setting is \[\frac{1}{200}\]sec. The correct time of exposure at \[\frac{f}{5.6}\] is
question_answer40) The compressibility of water is\[5\times {{10}^{-10}}{{m}^{2}}/\text{ }N\]. If the pressure at volume 100 ml is\[15\times {{10}^{6}}Pa,\]then the change of volume will be
question_answer43) The length of a sonometer wire AB is 110 cm. At what distance the two bridge are placed so that the wire is divided into such three parts. Basic frequencies of which are in the ratio of 1 : 2 : 3.
question_answer44) Two particles of equal mass [m] go round a circle of radius R under the action of their neutral gravitational attraction. The speed of each particle is
question_answer45) ABC is a triangular plate of uniform thickness. The sides are in the ratio shown in the figure.\[{{I}_{AB}},{{I}_{BC}},\] \[{{I}_{CA}}\] are moments of inertia of the plate about AB. BC, CA respectively. Which one of the following relation is correct?
question_answer46) The angle of prism is\[30{}^\circ \]. A ray passes through the prism and suffers a deviation of\[30{}^\circ \]. If the angle of incidence is\[60{}^\circ ,\]then angle of emergence is
question_answer47) The acceleration of a particle is increasing linearly with time t as bt. The particle starts from the origin with an initial velocity\[{{v}_{0}}\]. The distance travelled by the particle in time t will be
question_answer49) A force \[(2\,\widehat{i}\,-\,2\,\widehat{j}\,+\,3\,\widehat{j}+4\widehat{k})N\] is applied at a point. Whose is the place at position vector is\[r\to =(3\widehat{i}\,-\,2\widehat{j}+3\widehat{k}).\]. The torque about the origin point will be
question_answer50) The relative energy of two atoms of a molecule is expressed by the following expression. \[U(x)=\left( \frac{a}{{{x}^{12}}} \right)-\left( \frac{b}{{{x}^{6}}} \right)\] Here \[\alpha \] and b are positive constants and\[x\]is the distance between these atoms. If atom is at a state of permanent equilibrium, then
question_answer54) The electronic configuration of a element is\[1{{s}^{2}},2{{s}^{2}},2{{p}^{6}},3{{s}^{2}},3{{p}^{3}}\]. What is the atomic number of element which is below exactly this element in the Periodic Table?
question_answer58) The oxidation of glucose in living cell is a important reaction. What are number of ATP molecules which are produced by one molecule of glucose in cells?
question_answer62) What will be the number of neutrons in atom after the emission of one\[\alpha -\]particle and one \[\beta -\]particle from atom\[_{92}^{238}X\]?
question_answer66) The radius of hydrogen atom is\[0.53\overset{o}{\mathop{\text{A}}}\,\]in the ground state. The radius of\[L{{i}^{2+}}\]ion\[(Z=3)\] in this state is
question_answer75) What will be the uncertainty in position (correct at 0.001%) of a electron which is moving with\[3.0\times {{10}^{4}}\]cm/s. Velocity, (mass of electron\[=9.1\times {{10}^{-28}},\text{ }A=6.626\times {{10}^{-22}}\] erg/s) Use the uncertainty principle of\[h/4\pi \]
question_answer76) In\[TiF_{6}^{2-},CoF_{6}^{3-},C{{u}_{2}}C{{l}_{2}}\]and\[NiCl_{4}^{2-}\]the colourless species is (Atomic number Ti = 22, Co = 27, Cu = 29, Ni = 28)
question_answer77) A ozone layer is present approximately 20 km above from earth. Which of the following statement is correct for ozone and ozone layer?
A)
The change of ozone into oxygen is a endothermic reaction.
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B)
Ozone layer is harmful for us because it stops the rays which are useful for photosynthesis.
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C)
Ozone layer is useful to us because ozone absorbs the ultra-violet rays of sun.
question_answer79) The electronic configuration of valence shell of nitrogen molecule in ground state is \[(\sigma 2{{s}^{2}}),({{\sigma }^{*}}2{{s}^{2}}),(\pi 2{{p}^{4}}),(\sigma 2{{p}^{2}})\]. Hence, the bond order in nitrogen molecule is
question_answer85) Alkene\[R-CH=C{{H}_{2}}\]reacts with\[{{B}_{2}}{{H}_{6}}\]to give a product. The oxidation of product by alkaline hydrogen peroxide to form
A)
\[R-\underset{\begin{smallmatrix} || \\ O \end{smallmatrix}}{\mathop{C}}\,-C{{H}_{3}}\]
question_answer88) Which of the following compounds have more than one hybridization for carbon? I. \[C{{H}_{3}}C{{H}_{2}}C{{H}_{2}}C{{H}_{3}}\] II. \[C{{H}_{3}}-CH=CH-C{{H}_{3}}\] III. \[C{{H}_{2}}=CH-CH=C{{H}_{2}}\] IV. \[H-C\equiv C-H\]
question_answer90) Oxidation of toluene with\[Cr{{O}_{3}}\]in the presence of\[{{(C{{H}_{3}}CO)}_{2}}O\]forms product A which reacts with aqueous\[NaOH\]to give
question_answer91) The IUPAC name of the following compound is \[C{{H}_{3}}-CH=CHC{{H}_{2}}-\underset{\begin{smallmatrix} | \\ N{{H}_{2}} \end{smallmatrix}}{\mathop{CH}}\,-C{{H}_{2}}COOH\]
question_answer102) If the roots of the equation\[a{{x}^{2}}+bx+c=0\]are real and it is of the form\[\frac{\alpha }{\alpha -1}\]and \[\frac{\alpha +1}{\alpha },\]then the value of\[{{(a+b+c)}^{2}}\]is
question_answer104) If\[2\left[ \frac{1}{2n+1}+\frac{1}{3{{(2n+1)}^{3}}}+\frac{1}{5{{(2n+1)}^{5}}}+... \right]\]\[=\log \left( \frac{n+1}{n} \right),\]then the value of n for which equation will satisfied, is
question_answer112) If the sides of the \[\Delta \]ABC are changed by a very small quantity such that the radius of circumcircle is remains unchanged, then the value of\[\frac{da}{\cos A}+\frac{db}{\cos B}+\frac{dc}{\cos C}\]is
question_answer121) A tree is broken by wind, its upper part touches the ground at a point 10 m from the foot of the tree and makes an angle of\[45{}^\circ \]with the ground. The total length of tree is
question_answer130) 100 tickets are numbered 1 to 100. One ticket is selected randomly. The probability that the number appearing on a selected ticket be a perfect square, is
question_answer140) Line\[3x+4y-24=0\]intersect the\[x-\]axis at point A and y-axis at point B, then incentre of \[\Delta \]AOB, where 0 is the origin, is
question_answer141) The equation of a tangent to a circle whose centre is\[(2,-1),\]is\[3x+y=0,\]which passes through origin. Then, second equation of tangent which also passes through the origin, is
question_answer145) If\[x,\text{ }y,\text{ }z\]are in GP and\[logx-log2y,\]\[log\text{ }2y-\] \[log\text{ }3z\]and\[log\text{ }3z-log\text{ }x\]are in AP, then\[x,\text{ }y,\text{ }z\]are the sides of a/an