AIPMT 2010 Prelims

For an endothermic reaction, energy of activation is Ea and enthalpy of reaction is \(\Delta\)H (both of these in kJ/mol). Minimum value of Ea will be

In the given circuit the reading of voltmeter V1 and V2 are 300 volts each. The reading of the voltmeter V3 and ammeter A are respectively

A 220 volt input is supplied to a transformer. The output circuit draws a current of 2.0 ampere at 440 volts. If the efficiency of the transformer is 80%, the current drwn by the primary windings of the transformer is

The energy of a hydrogen atom in the ground state is \(-\) 13.6 eV. The energy of a He+ ion in the first excited state will be

The activity of a radioactive sample is measured as N0 counts per minute at t = 0 and N0/e counts per minute at t = 5 minutes. The time (in minutes) at which the activity reduces to half its value is

The mass of a \({}_3^7Li\) Li nucleus is 0.042 u less than the sum of the masses of all its nucleons. The binding energy per nucleon of \({}_3^7Li\) nucleus is nearly

An alpha nucleus of energy \({1 \over 2}\) mv2 bombards a heavy nuclear target of charge Ze. Then the distance of closest approach for the alpha nucleus will be proportional to

The energy of a hydrogen atom in the ground state is \(-\) 13.6 eV. The energy of a He+ ion in the first excited state will be

A series combination of n1 capacitors, each of value C1, is charged by a source of potential difference 4V. When another parallel combination of n2 capacitors, each of value C2, is charged by a source of potential difference V, it has the...

Two particles which are initially at rest, move towards each other under the action of their internal attraction. If their speeds are v and 2v at any instant, then the speed of centre of mass of the system will be :

A potentiometer circuit is set up as shown. The potential gradient, across the potentiometer wire, is k volt/cm and the ammeter, present in the circuit, reads 1.0 A when two way key is switched off. The balance points, when the key between ...

Consider the following two statements.
(A)  Kirchoff's junction law follows from the conservation of charge.
(B)  Kirchhoff's loop law follows from the conservation of energy.
Which of the following is correct?

A beam of cathode rays is subjected to crossed electric (E) and magnetic fields (B). The fields are adjusted such that the beam is not deflected. The specific charge of the cathode rays is given by
(Where V is the potential difference betw...

The potential difference that must be applied to stop the fastest photoelectrons emitted by a nickel surface, having work functions 5.01 eV, when ultraviolet light of 200 nm falls on it, must be

A source S1 is producing, 1015 photons per second of wavelength 5000 \(\mathop A\limits^ \circ\). Another source S2 is producing 1.02 \(\times\) 1015 photons per second of wavelength 5100 \(\mathop A\limits^ \circ\). Then, (power of S...

A conducting circular loop is placed in a uniform magnetic field, B = 0.025 T with its plane perpendicular to the loop. The radius of the loop is made to shrink at a constant rate of 1 mm s\(-\)1. The induced emf when the radius is 2 cm, is...

Which of the following statement is false for the properties of electromagnetic waves ?

Two positives ions, each carrying a charge q, are separated by a distance d. If F is the force of repulsion between the ions, the number of electrons missing from each ion will be (e being the charge on an electron)

A square surface of side L meter in the plane of the paper is placed in a uniform electric field \(E\)(volt/m) acting along the same plane at an angle \(\theta\) with the horizontal side of the square as shown in figurre.

The electric fl...

A lens having focal length f and aperture of diameter d forms an image of intensity I. Aperture of diameter \({d \over 2}\) in central region of lens is covered by a black paper. Focal length of lens and intensity of image now will be respe...

A ray of light travelling in a transparent medium of refractive index \(\mu\), falls on a surface separating the medium from air at an angle of incidence of 45o. For which of the following value of \(\mu\) the ray can undergo total intern...

A particle of mass M is situated at the centre of a spherical shell of same mass and radius a. The magnitude of the gravitational potential at a point sutuated at a/2 distance from the centre, will be :

A man of 50 kg mass is standing in a gravity free space at a height of 10 m above the floor. He throws a stone of 0.5 kg mass downwards with a speed 2 m/s. When the stone reaches the floor, the distance of the man above the floor will be

The radii of circular orbits of two satellites A and B of the earth, are 4R and R, respectively. If the speed of satellite A is 3V, then the speed of satellite B will be

If \(\Delta\)U and \(\Delta\)W represent the increase in internal energy and work done by the system respectively in a thermodynamical process, which of the following is true ?

A block of mass m is in contact with the cart C as shown in the figure.
The coefficient of static friction between the block and the cart is \(\mu\). The acceleration \(\alpha\) of the cart that will prevent the block from falling satisfi...

Electromagnets are made of soft iron because soft iron has

A vibration magnetometer placed in magnetic meridian has a small bar magnet. The magnet executes oscillations with a time period of 2 sec in earth's horizontal magnetic field of 24 microtesla. When a horizontal field of 18 microtesla is pr...

Six vectors, \(\overrightarrow a\) through \(\overrightarrow f\) have the magnitudes and directions indicated in the figure. Which of the following statements is true ?

A particle has initial velocity \(\left( {3\widehat i + 4\widehat j} \right)\) and has acceleration \(\left( {0.4\widehat j + 0.3\widehat j} \right).\) Its speed after 10 s is

A ball is dropped from a high rise platform at t = 0 starting from rest. After 6 seconds another ball is thrown downwards from the same platform with a speed v. The two balls meet at t = 18 s. What is the value of v?
(Take g = 10 m/s2)

A particle moves a distance x in time t according to equation x = (t + 5)\(-\)1. The acceleration of particle is proportional to

A galvanometer has a coil of resistance 100 ohm and gives a full scale deflection for 30 mA current. If it is to work as a voltmeter of 30 volt range, the resistance required to be added will be

Charge q is uniformly spread on a thin ring of radius R. The ring rotates about its axis with a uniform frequency \(f\) Hz. The magnitude of magnetic induction at the center of the ring is

A square current carrying loop is suspended in a uniform magnetic field acting in the plane of the loop. If the force on one arm of the loop is the net force on the remaining three arms of the loop is

A galvanometer has a coil of resistance 100 ohm and gives a full scale deflection for 30 mA current. If it is to work as a voltmeter of 30 volt range, the resistance required to be added will be

The displacement of a particle along the x-axis is given by x = asin2\(\omega\)t. The motion of the particle corresponds to

The period of oscillation of a mass M suspended from a strong of negligible mass is T. If along with it another mass M is also suspended, the period of oscillation will now be

Assuming the sun to have a spherical outer surface of radius r, radiating like a black body at temperature toC, the power received by a unit surface, (normal to the incident rays) at a distance R from the centre of the sun is
where $$\sigm...

The total radiant energy per unit area, normal to the direction of incidence, received at a distance R from the centre of a star of radius r, whose outer surface radiates as a black body at a temperature TK is given by

A cylindrical metallic rod in thermal contact with two reservoirs of heat at its two ends conducts an amount of heat Q in time t. The metallic rod is melted and the material is formed into a rod of half the radius of the original rod. What ...

A circular disk of moment of inertia \({I_t}\) is rotating in a horizontal plane, about its symmetry axis, with a constant angular speed \({\omega _i}\). Another disk of moment of inertia \({I_b}\) is dropped coaxially onto the rotating dis...

A gramophone record is revolving with an angular velocity \(\omega\). A coin is placed at a distance r from the centre of the record. The static coefficient of friction is \(\mu\). The coin will revolve with the record if

To get an output Y = 1 in given circuit which of the following input will be correct ?

A common emitter amplifier has a voltage gain of 50, an input impedance of 100 \(\Omega\) and an output impedance of 200 \(\Omega\). The power gain of the amplifier is

Which one of the following statement is false ?

The device that can act as a complete electronic circuit is

Which one of the following bonds produces a solid that reflects light in the visible region and whose electrical conductivity decreases with temperature and has high melting point ?

The dimension of \({1 \over 2}{\varepsilon _0}{E^2}\), where \({\varepsilon _0}\) is permittivity of free space and E is electric field, is

A transverse wave is represented by
y = Asin(\(\omega\)t \(-\) kx). For what value of the wavelength is the wave velocity equal to the maximum particle velocity ?