NEET 2016 Phase 1

A small signal voltage V(t) = V0 sin\(\omega\)t is applied across an ideal capacitor C

An inductor 20 mH, a capacitor 50 \(\mu F\) and a resistor 40 \(\Omega\) are connected in series across a source of emf V = 10 sin 340t. The power loss in A.C. circuit is

Given the value of Rydberg constant is 107 m\(-\)1, the wave number of the last line of the Balmer series in hydrogen spectrum will be

When an \(\alpha\)-particle of mass m moving with velocity v bombards on a heavy nucleus of charge Ze, its distance of closest approach from the nucleus depends on m as

A capacitor of 2 \(\mu\)F is charged as shown in the diagram. When the switch S is turned to position 2, the percentage of its stored energy dissipated is

The charge flowing through a resistance R varies with time t is Q = at \(-\) bt2, where \(a\) and \(b\) are positive constants. The total heat produced in R is

A potentiometer wire is 100 cm long and a constant potential difference is maintained across it. Two cells are connected in series first to support one another and then in opposite direction. The balance points are obtained at 50 cm and 10 ...

An electron of mass m and a photon have same energy E. The ratio of de-Broglie wavelengths associated with them is

When a metallic surface is illuminated with radiation of wavelength \(\lambda\), the stopping potential is V. If the same surface is illuminated with radiation of wavelength 2 \(\lambda\), the stopping potential is \({V \over 4}\). The th...

A long solenoid has 1000 turns. When a current of 4 A flows through it, the magnetic flux linked with each turn of the solenoid is 4 \(\times \,{10^{ - 3}}\) Wb. The self-inductance of the solenoid is

Out of the following options which one can be used to produce a propagating electromagnetic wave ?

Two identical charged spheres suspended from a common point by two massless strings of lengths \(l\), are initially at a distance d(d < < \(l\)) apart because of their mutual repulsion. The charges begin to leak from both the spheres at ...

Match the corresponding entries of column 1 with column 2. [Where m is the magnification produced by the mirror]

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The angle of incidence for a ray of light at a refracting surface of a prism is 45o. The angle of prism is 60o. If the ray suffers minimum deviation through the prism, the angle of minimum deviation and refractive index of the material of ...

A astronomical telescope has objective and eyepiece of focal lengths 40 cm and 4 cm respectively. To view an object 200 cm away from the objective, the lenses must be separated by a distance

The ratio of escape velocity at earth (ve) to the escape velocity at a planet (vp) whose radius and mean density are twice as that of earth is

At what height from the surface of earth the gravitation potential and the value of g are \(-\)5.4 \(\times\) 107 J kg\(-\)1 and 6.0 m s\(-\)2 respectively? Take the radius of earth as 6400 km.

A refrigerator works between 4oC and 30oC. It is required to remove 600 calories of heat every second in order to keep the temperature of the refrigerated space constant. The power required is (Take 1 cal = 4.2 Joules)

The molecules of a given mass of a gas have r.m.s. velocity of 2000 m s\(-\)1 at 27oC and 1.0 \(\times\) 105 N m\(-\)2 pressure. When the temperature and pressure of the gas are respectively, 127oC and 0.05 \(\times\) 105 N m\(-\)2, the...

A gas is compressed isothermally to half its initial volume. The same gas is compressed separately through an adiabatic process until its volume is again reduced to half. Then

A car is negotiating a curved road of radius R. The road is banked at an angle \(\theta\). The coefficient of friction between the tyres of the car and the road is \(\mu\)s. The maximum safe velocity on this road is

The magnetic susceptibility is negative for

If the magnitude of sum of two vectors is equal to the magnitude of difference of the two vectors, the angle between these vectors is

A particle moves so that its position vector is given by \(\overrightarrow r = \cos \omega t\,\widehat x + \sin \,\omega t\,\widehat y,\) where \(\omega\) is a constant.
Which of the following is true?

If the velocity of a particle is v = At + Bt2, where A and B are constants, then the distance travelled by it between 1 s and 2 s is

A square loop ABCD carrying a current \(i\), is placed near and coplanar with a long straight conductor XY carrying a current \(I\), the net force on the loop will be

A long straight wire of radius \(a\) carries a steady current \(I\). The current is uniformly distributed over its cross-section. The ratio of the magnetic fields B and B', at radial distance \({a \over 2}\) and 2\(a\) respectively, from th...

A piece of ice falls from a height h so that it melts completely. Only one-quarter of the heat produced is absorbed by the ice and all energy of ice gets converted into heat during its fall. The value of h [Latent heat of ice is $$3.4 \time...

Coefficient of linear expansion of brass and steel rods are \(\alpha\)1 and \(\alpha\)2. Lengths of brass and steel rods are \(l\)1 and \(l\)2 respectively. If (\(l\)1 \(-\) \(l\)2) is maintained same at all temperatures, which one of the...

Two non-mixing liquids of densities \(\rho\) and n\(\rho\) (n > 1) are put in a container. The height of each liquid is h. A solid cylinder of length L and density d is put in this container. The cylinder floats with its axis vertical and...

A black body is at a temperature of 5760 K. The energy of radiation emitted by the body at wavelength 250 nm is U1, at wavelength 500 nm is U2 and that at 1000 nm is U3. Wien's constant, b = 2.88 \(\times\) 106 nm K. Which of the followin...

A uniform circular disc of radius 50 cm at rest is free to turn about an axis which is perpendicular to its plane and passes through its centre. It is subjected to a torque which produces a constant angular acceleration of 2.0 rad s\(-\)2. ...

From a disc of radius R and mass M, a circular hole of diameter R, whose rim passes through the centre is cut. What is the moment of inertia of the remaining part of the disc about a perpendicular axis, passing through the centre?

A disc and a sphere of same radius but different masses roll off on two inclined planes of the same altitude and length. Which one of the two objects gets to the bottom of the plane first?

To get output 1 for the following circuit, the correct choice for the input is

A npn transistor is connected in common emitter configuration in a given amplifier. A load resistance of 800 \(\Omega\) is connected in the collector circuit and the voltage frop across it is 0.8 V. If the current amplification factor is 0...

Consider the junction diode as ideal. The value of current flowing through AB is

The intensity at the maximum in a Young's double slit experiment is \(I\)0. Distance between two slits is d = 5\(\lambda\), where \(\lambda\) is the wavelength of light used in the expreriment. What will be the intensity in front of one o...

In a diffraction pattern due to a single slit of width \(a\), the first minimum is observed at an angle 30o when light of wavelength 5000 \(\mathop A\limits^ \circ\) is incident on the slit. The first secondary maximum is observed at an ...

An air column, closed at one end open at the other, resonates with a tuning fork when the smallest length of the column is 50 cm. The next larger length of the column resonating with the same tuning fork is

A uniform rope of length L and mass m1 hangs vertically from a rigid support. A block of mass m2 is attached to the free end of the rope. A transverse pulse of wavelength \(\lambda\)1 is produced at the lower end of the rope. The wavelen...

A siren emitting a sound of frequency 800 Hz moves away from an observer towards a cliff at a speed of 15 m s\(-\)1. Then, the frequency of sound that the observer hears in the echo reflected from the cliff is
(Take velocity of sound in ai...

A particle of mass 10 g moves along a circle of radius 6.4 cm with a constant tangential acceleration. What is the magnitude of this acceleration if the kinetic enegy of the particle becomes equal to 8 \(\times\) 10\(-\)4 J by the end of ...

A body of mass 1 kg begins to move under the action of a time dependent force \(\overrightarrow F = \left( {2t\widehat i + 3{t^2}\widehat J} \right)N,\) where \({\widehat i}\) and \({\widehat j}\) are unit vectors along x and y axis. What ...

What is the minimum velocity with which a body of mass m must enter a vertical loop of radius R so that it can complete the loop?