question_answer2) A body of mass 2 kg has an initial velocity of 3 m/s along OE and it is subjected to a force of 4 N in a direction perpendicular to OE. The distance of body from 0 after 4 s will be:
question_answer4) An engine is moving on a circular path of radius 100 m with a speed of 20 m/s. What will be the frequency observed by an observer standing stationary at the centre of circular path when the engine blows a whistle of frequency 500 Hz?
question_answer5) The work done by a particle moving with a velocity of 0.7 c (where c is the velocity of light) in empty space free of electromagnetic field and far away from all matter is:
question_answer6) The velocity v (in cm/s) of a particle is given in terms of time t (in seconds) by the equation, \[v=at+\frac{b}{t+c}\] The dimensions of a, b and c are:
question_answer7) A copper wire and a steel wire of the same diameter and length are joined end to end and a force is applied which stretches their combined length by 1 cm. Then the two wires will have:
question_answer10) A clock hung on a wall has marks instead of numerals on its dial on the adjoining wall there is a plane mirror and the image of the clock in the mirror indicates the time 7:10. Then the time on the clock is:
question_answer11) A vertical straight conductor carriers a current upward. A point P lies to the east of it at a small distance and another point Q lies to the west at the same distance. The magnetic field at P is:
A)
greater than Q
doneclear
B)
same as at Q
doneclear
C)
less than at Q
doneclear
D)
greater of less than at Q depending upon the strength of current
question_answer14) An inductor is connected to a battery through a switch. Induced emf is \[{{e}_{1}}\] when the switch is pressed and \[{{e}_{2}}\] when the switch is opened. Then:
question_answer16) Certain neutron stars (extremely dense stars) are believed to be rotating at about 1 rev/s. If such a star has a radius of 20 km, the acceleration of an object on the equator of the star will be:
question_answer17) The amplitude of a damped oscillator becomes one-half in 1 min. The amplitude after 3 min will be\[\frac{1}{n}\]time the original, where n is:
question_answer21) A magnetic needle suspended by a silk-thread is vibrating in the earth's magnetic field. If the temperature of the needle is increased by \[1000{}^\circ C,\] then:
question_answer22) When a copper voltammeter is connected with a battery emf 12 y 2g of copper is deposited in 30 min. If the same voltammeter is connected across 6 V battery, then the mass of the copper deposited in 45 min would be:
question_answer23) A parallel plate capacitor is connected to a battery. The plates are pulled apart with a uniform speed v. If\[x\]is the separation between the plates, then the time rate of change of the electrostatic energy of the condenser is proportional to:
question_answer25) The half-life of radium is 1620 year and its atomic weight is 226. The number of atoms that will decay from its 1 g sample per second will be:
question_answer26) Let\[[{{\varepsilon }_{0}}]\]denote the dimensional formula of the permittivity of the vacuum and\[[{{\mu }_{0}}]\]at of the permittivity of the vacuum. If M = mass, L = length, T = time and I = electric current: (1) \[[{{\varepsilon }_{0}}]=[{{M}^{-1}}{{L}^{-3}}{{T}^{2}}I]\] (2) \[[{{\varepsilon }_{0}}]=[{{M}^{-1}}{{L}^{-3}}{{T}^{4}}{{I}^{2}}]\] (3) \[[{{\mu }_{0}}]=[ML{{T}^{-2}}{{I}^{-2}}]\] (4) \[[{{\mu }_{0}}]=[M{{L}^{2}}{{T}^{-1}}I]\]
question_answer27) In the case of projectile motion of two projectiles, A and B are projected with the same speed at angles\[15{}^\circ \]and\[75{}^\circ \]respectively to the horizontal, then: (1) \[{{H}_{A}}<{{H}_{B}}\] (2) \[{{H}_{A}}>{{H}_{B}}\] (3) \[{{T}_{A}}>{{T}_{B}}\] (4) \[{{T}_{A}}<{{T}_{B}}\]
question_answer28) A block is suspended by an ideal spring of force constant k. If the block is pulled down by applying a constant force F and if maximum displacement of block from its initial position of rest is\[\delta \]then: (1) \[\frac{F}{k}<\delta <\frac{2F}{k}\] (2) \[\delta =\frac{2F}{k}\] (3) work done by the force is equal to \[F\delta \] (4) increases in energy stored in spring is \[\frac{1}{2}k{{\delta }^{2}}\]
question_answer29) The magnitudes of the gravitational field at distance\[{{r}_{1}}\]and\[{{r}_{2}}\]from the centre of a uniform sphere of radius R and mass M are\[{{F}_{1}}\]and\[{{F}_{2}}\] respectively. Then: (1) \[\frac{{{F}_{1}}}{{{F}_{2}}}=\frac{{{r}_{1}}}{{{r}_{2}}}\]if\[{{r}_{1}}<R\]and\[{{r}_{2}}<R\] (2) \[\frac{{{F}_{1}}}{{{F}_{2}}}=\frac{r_{2}^{2}}{r_{1}^{2}}\]if\[{{r}_{1}}>R\]and\[{{r}_{2}}>R\] (3) \[\frac{{{F}_{1}}}{{{F}_{2}}}=\frac{{{r}_{1}}}{{{r}_{2}}}\]if\[{{r}_{1}}>R\]and\[{{r}_{2}}>R\] (4) \[\frac{{{F}_{1}}}{{{F}_{2}}}=\frac{r_{1}^{2}}{r_{2}^{2}}\]if\[{{r}_{1}}<R\]and\[{{r}_{2}}<R\]
question_answer30) Function\[x=A{{\sin }^{2}}\omega t+B{{\cos }^{2}}\omega t\] \[+C\sin \omega t\cos \omega t\]of represents SHM: (1) for any value of A, B and C (except\[C=0\]) (2) If\[A=-B,C=2B,\]amplitude\[=|B\sqrt{2}|\] (3) If\[A=B,\text{ }C=2B,\]amplitude\[=|B|\] (4)If \[A=B,C=0\]
question_answer31) A cylindrical vessel of 90 cm height is kept filled upto the brim. It has four holes 1, 2, 3 and 4 which are respectively at heights of 20 cm, 30 cm, 40 cm and 50 cm from the horizontal floor PQ. The water falling at the P maximum horizontal distance from the vessel comes from: (1) hole number 4 (2) hole number 3 (3) hole number 2 (4) hole number 1
question_answer32) If an oil drop is poured on water, then it will: (1) remain spherical on water surface (2) spread as thin film (3) become distored drop (4) partly spherical and partly distorted
question_answer33) A wave disturbance in a medium is described by\[y(x,t)=0.02\,\cos \left( 50\pi t+\frac{\pi }{2} \right)\cos (10\pi x),\]where\[x\]and y are in metre and t is in second? (1) A node occurs at\[x=0.15\text{ }m\] (2) An antinode occurs at\[x=0.3\text{ }m\] (3) The speed of wave is\[15\text{ }m{{s}^{-1}}\] (4) The wavelength is 0.2 m
question_answer34) A bimetallic strip is formed act of two identical strips one of copper and the other of brass. The coefficients of linear expansion of the two metals are\[{{\alpha }_{c}}\]and\[{{\alpha }_{\beta }}\]. On heating, the temperature of the strip goes up by\[\Delta T\]and the strip bends to form an arc of radius of curvature R. Then R is: (1) inversely proportional to\[\Delta T\] (2) proportional to\[|{{\alpha }_{\beta }}-{{\alpha }_{c}}|\] (3) proportional to\[\Delta T\] (4) inversely proportional to\[|{{\alpha }_{\beta }}-{{\alpha }_{C}}|\]
question_answer35) For an ideal gas: (1) the change in internal energy in a constant pressure process from temperature\[{{T}_{1}}\]and\[{{T}_{2}}\]is equal to\[n{{C}_{V}}({{T}_{2}}-{{T}_{1}})\]where\[{{C}_{V}}\]is the molar heat capacity at constant volume and n the number of moles of the gas (2) the change in internal energy of the gas and work done by the gas are equal in magnitude in an adiabatic process (3) the internal energy increases in an isothermal process (4) no heat is added or removed in an adiabatic process
question_answer36) A body of mass M is attached to the lower end of a metal wire, whose upper end is fixed. The elongation of the wire is\[l\]. (1) Loss in gravitational potential energy of M is\[Mgl\] (2) The elastic potential energy stored in the wire is\[\frac{1}{2}Mgl\] (3) The elastic potential energy stored in the wire is\[Mgl\] (4) Heat produced is\[\frac{1}{2}Mgl\]
question_answer37) When a metal plate is introduced between the two plates of a charged capacitor and insulated from them, then: (1) the metal plate devides the capacitor into two capacitors connected in parallel to each other (2) the metal plate devides the capacitors into two capacitors connected in series with each other (3) the metal plate is equivalent to a dielectric of infinite dielectric constant (4) the metal plate is equivalent to a dielectric of zero dielectric constant
question_answer38) A parallel plate air capacitor is connected to a battery. The quantities charge, voltage, electric field and energy associated with the capacitor are given by\[{{Q}_{0}},{{V}_{0}},{{E}_{0}}\]and\[{{U}_{0}}\] respectively. A dielectric slab is now introduced to fill the space between the plates with the battery still in connection. The corresponding quantities now given by Q, V, E and U related to the previous one as: (1) \[Q>{{Q}_{0}}\] (2)\[V>{{V}_{0}}\] (3) \[E>{{E}_{0}}\] (4)\[U>{{V}_{0}}\]
question_answer39) The Prongs a vibrating tuning fork are immersed in water. Then: (1) amplitude of the waves decreases (2) velocity of the waves decreases (3) frequency of the waves decreases (4) wavelength of the waves increases
question_answer40) Two identical double convex lenses each of the focal length/are made of glass of\[\mu =1.5.\]If R is the radius of curvature of each of the four faces. Then: (1) the focal length of combination is half the radius of curvature of any of the four faces (2) the focal length of combination increases if the lenses are separated by a distance\[f\]and the new focal length is twice its focal length when the lenses are in contact (3) the focal length of combination decreases when the lenses are separated by a distance\[f\]and the new focal length is half its focal length when the lenses are in contact (4) none of the above
question_answer41) Two resistors when connected in series have an equivalent resistance of \[9\,\Omega \]and when connected in parallel have an equivalent resistance of\[2\,\Omega \]. The value of these resistance of are: (1) \[2\,\Omega \]and\[9\,\Omega \] (2)\[3\,\Omega \]and \[6\,\Omega \] (3) \[6\,\Omega \]and \[3\,\Omega \] (4)\[3\,\Omega \]and \[9\,\Omega \]
question_answer42) Capacitor\[{{C}_{1}}\]of capacitance\[1\,\mu F\]and capacitor\[{{C}_{2}}\] of capacitance 2uF are separately charged fully by a common battery. The two capacitors are then separately allowed to discharge through equal resistors at time\[t=0\]. (1) The currents in the two discharging circuits at\[t=0\]are equal but not zero (2) The current in each of the two discharging circuits is zero at\[t=0\] (3) The current in the two discharging circuits at\[t=0\]are unequal (4) Capacitor\[{{C}_{1}}\]losses 50% of its initial charge sooner than\[{{C}_{2}}\]losses 50% of its initial charge
question_answer43) In which of the following situations will there be no force? (1) A positive charge projected pass a piece of soft iron (2) A positive charge sent along the axis of a solenoid (3) Two parallel wires carrying current in the same direction (4) A positive charge projected between the poles of a magnet.
question_answer44) When photons of energy 4.25 eV strike the surface of a metal A, the ejected photoelectrons have maximum kinetic energy. \[{{T}_{A}}\]expressed in eV and the de-Broglie wavelength\[{{\lambda }_{A}}\]. The maximum kinetic energy of photoelectrons liberated from another metal B by photons of energy 4.70 eV is\[{{T}_{B}}=({{T}_{A}}-1.5eV)\]. If the de-Broglie wavelength of these photoelectrons is\[{{\lambda }_{B}}=2{{\lambda }_{A}},\]then: (1) the work function of A is 2.25 eV (2) the work function of B is 4.20 eV (3) \[{{T}_{B}}=2.7\text{ }eV\] (4) \[{{T}_{A}}=2.00\text{ }eV\]
question_answer46) A nuclide A undergoes a-decay and another nuclide B undergoes\[\beta -\]decay. (1) All the a-particles emitted by A will have almost the same speed (2) The a-particles emitted by A may have widely different speeds (3) All the P-particles emitted by B will have almost the same speed (4) The p-particles emitted by B may have widely different speeds.
question_answer47) The meniscus of a liquid obtained in one of the limbs of a narrow\[U-\]tube is held in an electromagnet with the meniscus in line with the field. The liquid is seen to rise. This indicates that the liquid is: (1) paramagnetic (2) ferromagnetic (3) diamagnetic (4) non-magnetic
question_answer48) The magnetic flux linked with a coil is\[\phi \]and the emf induced in it is e. Then: (1) if\[\phi \ne 0,e\]cannot be 0 (2) if\[\phi =0,e\]must be 0 (3) if\[e\ne 0,\phi \]may not be zero (4) none of the above is correct
question_answer49) In an n-p-n transistor circuit, the collector current is 10 mA. If 90% of the electrons are able to reach the collector: (1) the emitter current will be 9 mA (2) the emitter current will be 11 mA (3) the base current will be 1 mA (4) the base current will be 0.1 Ma
question_answer50) If an increasing temperature, the resistance decreases, then it is: (1) superconductor (2) semiconductor (3) insulator (4) none of these
question_answer69) Assuming fully decomposed, the volume of \[C{{O}_{2}}\]released at STP on heating 9.85 g of \[BaC{{O}_{3}}\](at. wt. of\[Ba=137\]) will be:
question_answer76) Which of the following pairs of elements have almost similar atomic radii? (1) \[Zr,\text{ }Hf\] (2)\[Mo,\text{ }W\] (3) \[Co,\text{ }Ni\] (4)\[Sn,\text{ }Pb\]
question_answer85) Which is not true for physical adsorption? (1) It forms mono-molecular layers (2) It is irreversible (3) The forces present weak van der-Waals' forces (4) rate of adsorption increases with increase in pressure of adsorbate
question_answer86) The function of salt bridge is: (1) it completes the electrical circuit (2) it supply the current (3) it maintains electrical neutrality of two half cell solutions (4) it acts as electrolyte
question_answer87) If the limiting radius ratio\[\left( \frac{{{r}^{+}}}{{{r}^{-}}} \right)\]is the range of 0.225 to 0.414, there is: tetrahedral voids co-ordination number 4 zinc blende structure \[NaCl\]type structure
question_answer93) Decrease in atomic number is observed during: (1) \[\alpha -\]emission (2) positron emission (3) electron capture (4)\[\beta -\]emission
question_answer94) White phosphorus has: (1) six P-P single bonds (2) four lone pairs of electrons (3) P?P?P angle of\[60{}^\circ \] (4) four\[P-P\]single bonds
question_answer97) Resonance structure of a molecule should have: (1) identical arrangement of atoms (2) nearly the same energy (3) the same number of paired electron (4) identical energy
question_answer98) Which compounds give the Hell-Yolhard- Zeiinsky reaction? (1)\[C{{H}_{3}}C{{H}_{2}}COOH\] (2) \[C{{H}_{3}}CC{{1}_{2}}COOH\] (3) (4)\[HCOOH\]
question_answer99) The greater stability of tert-butyl carbocation over methyl carbocation can be explained on the basis of: (1) \[+I\] -effect of the methyl group (2) hyperconjugation effect of the methyl group (3) electromeric effect of the methyl group (4) \[-I\] -effect of the methyl group
question_answer126) Diabetes is established by : (1) occurrence of sugar in urine (2) blood sugar level (3) insulin level in blood (4) blood protein level
question_answer127) Which of the following statements are correct: (1) mitocondria contain DNA (2) 70S ribosomes occur in prokaryote (3) Ribosomes are made up of phospholipids and oligosaccharide (4) ribosomes are not found in Protista and Monera
question_answer129) Which of the following match is correct ? (1) Flame celts?Flatworm (2) Marsupium ? Kangaroo (3) Water vascular system ? Sponge (4) Pheretima ? Parapodia
question_answer136) Which is applicable to mutations ? (1) They are inheritable genetic changes (2) Many of them remain undetected (3) They can be induced artificially (4) They are possible only in diploid cells
question_answer140) Hypervariable repeat sequences or Variable number of Tandem repeats (VNTRs) are : (1) introns of split genes (2) minisatellites (3) Ban-body (4) Flanked by conserved restriction sites
question_answer146) An important function of progesterone is : (1)prepare uterus for pregnancy (2)implantation of embryo (3)maintenance of pregnancy (4)stimulate ADH
question_answer149) Menstrual cycle is controlled by: (1) estrogen and progesterone of ovary (2) FSH of pituitary (3) FSH and LH of pituitary (4) Oxytocin hormone
question_answer176) Clay and organic matter of the soil have negative charges. They attract positively charged ions like: (1)\[C{{a}^{2+}}\] (2) \[M{{g}^{2+}}\] (3)\[{{K}^{+}}\] (4) \[A{{l}^{3}}\]
question_answer186) Idioblast is : (1) plant cell different from others (2) animal cell different from others (3) plant cell having cell inclusions (4) animal cell having cell inclusions
question_answer196) Which is correct statement? (1) seed cannot be formed after on fertilization (2) seed is formed after one fertilization (3) seed is formed before double fertilization (4) fruit is produced after double fertilization