AIPMT 2009

The number of beta particles emitted by a radioactive substance is twice the number of alpha particles emitted by it. The resulting daughter is an

In a Rutherford scattering experiment when a projectile of charge z1 and mass M1 approaches a target nucleus of charge z2 and mass M2, the distance of closest approach is r0. The energy of the projectile is

The ionization energy of the electron in the hydrogen atom in its ground state is 13.6 eV. The atoms are excited to higher energy levels to emit radiations of 6 wavelengths, Maximum wavelength of emitted radiation corresponds to the transit...

Three capacitors each of capacitance C and of breakdown voltage V are joined in series. The capacitance and breakdown voltages of the combination will be

Two bodies of mass 1 kg and 3 kg have position vectors \(\widehat i + 2\widehat j + \widehat k\) and \(- 3\widehat i - 2\widehat j + \widehat k\), respectively. The center of mass of this system has a position vector :

An explosion blows a rock into three parts. Two parts go off at right angles to each other. These two are, 1 kg first part moving with a velocity of 12 m s\(-\)1 and 2 kg second part moving with a velocity 8 m s\(-\)1. If the third part fli...

See the electrical circuit shown in this figure. Which of the following equations is a correct equation for it ?

A student measures the terminal potential difference (V) of a cell (of emf \(\varepsilon\) and internal resistance r) as a function of the current (I) flowing through it. The slope, and intercept, of the graph between V and I, then respect...

A wire of resistance 12 ohms per meter is bent to form a complete circle of radius 10 cm. The resistance between its two diametrically opposite points, A and B as shown in the figure is

The mean free path of electrons in a metal is 4 \(\times\) 10\(-\)8 m. The electric field which can give on an average 2 eV energy to an electron in the metal will be in units V/m

The number of photo electrons emitted for light of a frequency \(\upsilon\) (higher than the threshold frequency \({\upsilon _0}\)) is proportional to

The figure shows a plot of photo current versus anode potential for a photo sensitive surface for three different radiations. Which one of the following is a correct statement?

Monochromatic light of wavelength 667 nm is produced by a helium neon laser. The power emitted is 9 mW. The number of photons arriving per sec. on the average at a target irradiated by this beam is

A rectangular, a square, a circular and an elliptical loop, all in the (x-y) plane, are moving out of a uniform magnetic field with a constant velocity. \(\overrightarrow V = v\widehat i\). The magnetic field is directed along the negative...

A conducting circular loop is placed in a uniform magnetic field 0.04 T with its plane perpendicular to the magnetic field. The radius of the loop starts shrinking at 2 mm/s. The induced emf in the loop when the radius is 2 cm is

The electric field part of an electromagnetic wave in a medium is represented by Ex = 0;
$${E_y} = 2.5{N \over C}\cos \left[ {\left( {2\pi \times {{10}^6}{{rad} \over m}} \right)t - \left( {\pi \times {{10}^{ - 2}}{{rad} \over s}} \right)...

Three concentric spherical shells have radii a, b and c (a < b < c) anf have surface charge densities \(\sigma\), \(-\)\(\sigma\) and \(\sigma\) respectively. If VA, VB and VC denote the potentials of the three shells, then, for c = a + ...

The electric potential at a point (x, y, z) is given by V = \(-\)x2y \(-\) xz3 + 4
The electric field at that point is

The figure shows elliptical orbit of a planet m about the sun S. The shaded area SCD is twice the shaded area SAB. If t1 is the time for the planet to move from C to D and t2 is the time to move from A to B then

The internal energy change in a system that has absorbed 2 kcal of heat and done 500 J of work is

In thermodynamic processes which of the following statements is not true ?

A body, under the action of a force \(\overrightarrow F = 6\widehat i - 8\widehat j + 10\widehat k,\) acquires an accelerations of 1 m/s2. The mass of this body must be

The mass of a lift is 2000 kg. When the tension in the supporting cable is 28000 N, then its acceleration is :

If a diamagnetic substance is brought near the north or the south pole of a bar magnet, it is

A bar magnet having a magnetic moment of 2 \(\times\) 104 J T\(-\)1 is free to rotate in a horizontal plane. A horizontal magnetic field B = 6 \(\times\) 10\(-\)4 T exists in the space. The work done in taking the magnet slowly from a d...

A bus is moving with a speed of 10 ms\(-\)1 on a straight road. A scooterist wishes to overtake the bus in 100 s. If the bus is at a distance of 1 km from the scooterist, with what speed should the scooterist chase the bus ?

A particle starts its motion from rest under the action of a constant force. If the distance covered in first 10 seconds is S1 and that covered in the first 20 seconds is S2, then

Under the influence of a uniform magnetic field, a charged particle moves with constant speed v in a circle of radius R. The time period of rotation of the particle

The magnetic force acting on a charged particle of charge \(-\)2 \(\mu\)C in a magnetic frield of 2 T acting in y direction, when the particle velocity is \(\left( {2\widehat i + 3\widehat j} \right) \times {10^6}\,m{s^{ - 1}}\)

A galvanometer havings a coil resistance of 60 \(\Omega\) shows full scale deflection when a current of 1.0 amp passes through it. It can be converted into an ammeter to read currents upto 5.0 amp by

Which one of the following equations of motion represents simple harmonic motion ?
where k, k0, k1 and a are all positive.

A simple pendulum performs simple harmonic motion about x = 0 with an amplitude a and time period T. The speed of the pendulum at x = a/2 will be

The two ends of a rod of length L and a uniform cross-sectional area A are Kept at two temperatures T1 and T2 (T1 > T2). The rate of heat transfer, \({{dQ} \over {dt}}\) through the rod in a steady state is given by :

A black body at 227oC radiates heat at the rate of 7 cals/cm2s. At a temperature of 727oC, the rate of heat radiated in the same units will be

If \(\overrightarrow F\) is the force acting on a particle having position vector \(\overrightarrow r\) and \(\overrightarrow \tau\) be the torque of this force about the origin, then

Four identical thin rods each of mass M and length \(l\), form a square frame. Moment of inertia of this frame about an axis through the centre of the square and perpendicular to its plane is

A thin circular ring of mass M and radius R is rotating in a horizontal plane about an axis vertical to its plane with a constant angular velocity \(\omega\). If two objects each of mass m be attached gently to the opposite ends of a diame...

Sodium has body centred packing. Distance between two nearest atoms is 3.7 \(\mathop A\limits^ \circ\). The lattice parameter is

The symbolic representation of four logic gates are given below

The logic symbols for OR, NOT and NAND gates are respectively

A transistor is operated in common-emitter configuration at VC = 2V such that a change in the base current from 100 \(\mu\)A to 200 \(\mu\)A produces a change in the collector current from 5 mA to 10 mA. The current gain is

A p-n photodiode is fabricated from a semiconductor with a band gap of 2.5 eV. It can detect a signal of wavelength

If the dimensions of a physical quantity are given by MaLbTc, then the physical quantity will be

The driver of a car travelling with speed 30 m/s towards a hill sounds a horn of frequency 600 Hz. If the velocity of sound in air is 330 m/s, the frequency of reflected sound as heard by driver is

Each of the two strings of length 51.6 cm and 49.1 cm are tensioned separately by 20 N force. Mass per unit length of both the strings is same and equal to 1 g/m. When both the strings vibrate simultaneously the number of beats is

A wave in a string has an amplitude of 2 cm. The wave travels in the +ve direction of x axis with a speed of 128 m/s. and it is noted that 5 complete waves fit in 4m length of the string. The equation describing the wave is

An engine pumps water continuously through a hose. Water leaves the hose with a velocity v and m is the mass per unit length of the water jet. What is the rate at which kinetic energy is imparted to water?

A block of mass M is attached to the lower end of a vertical spring. The spring is hung from a ceiling and has force constant value k. The mass is released from rest with the spring initially unstretched. The maximum extension produced in t...

A body of mass 1 kg is thrown upwards with a velocity 20 m/s. It momentarily comes to rest after attaining a height of 18 m. How much energy is lost due to air friction? (g = 10 m/s2)