NEET 2016 Phase I Physics Question

If the velocity of a particle is [latex]v=At+Bt^2[/latex], where A and B are constants, then the distance travelled by it between 1s and 2s is:

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?

The magnetic susceptibility is negative for:

A capacitor of 2μF is charged as shown in the diagram. When the switch S is turned to position 2, the percentage of its stored energy dissipated 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 a constant rate. As a result, the spheres approach each other with a velocity v. Then v varies as a function of the distance x between the spheres, as :

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 λ₁ is produced at the lower end of the rope. The wavelength of the pulse when it reaches the top of the rope is λ₂ . The ratio λ₂/λ₁  is:

A refrigerator works between 4⁰C  and 30⁰C . 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)

An air column, closed at one end and 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:

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 I₀. Distance between two slits is d=5λ where λ is the wavelength of light used in the experiment. What will be the intensity in front of one of the slits on the screen placed at a distance D=10d?

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

A disk 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?

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

When an α-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 long straight wire of radius a carries a steady current I. The current is uniformly distribute over its cross-section. The ratio of the magnetic fields B and B′, at radial distances (a/2) and 2a respectively, from the axis of the wire is:

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?

When a metallic surface is illuminate with radiation of wavelength λ, the stopping potential is V. If the same surface is illuminated with radiation of wavelength 2λ, the stopping potential is V/4. The threshold wavelength for the metallic surface is:

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.

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

Given the value of Rydberg’s constant is 10⁷ m⁻¹, the wave number of the last line of the Balmer’s series in hydrogen spectrum will be:

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 small signal voltage V(t)=V₀sinωt is applied across an ideal capacitor C. Then:

A particle moves so that its position vector is given by [latex]\vec{r}=\cos \omega t \hat{x}+\sin \omega t\hat{y}[/latex] Where ω is a constant. Which of the following is true?

A body of mass 1 kg begins to move under the action of a time-dependent force F = (2t +3t²j)N, where i and j are unit vectors along x and y-axis. What power will be developed by the force at the time t?

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 x 10⁶ nmK. Which of the following is correct?

A npn transistor is connected in common emitter configuration in a given amplifier. A load resistance of 800 Ω is connected in the collector circuit and the voltage drop across it is 0.8 V. If the current amplification factor is 0.96 and the input resistance of the circuit is 192Ω the voltage gain and the power gain of the amplifier will respectively be

Coefficient of linear expansion of brass and steel rods are α₁ and α₂. Lengths of brass and steel rods are l₁ and l₂ respectively. If (l₂ − l₁) is maintained same at all temperatures, which one of the following relations holds good?

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.Its net acceleration in ms⁻²at the end of 2.0 s is approximately

The molecules of a given mass of a gas have r.m.s velocity of 200 m/s at 27°C and 1.0 x 10⁵ Nm⁻² pressure. When the temperature and pressure of the gas are respectively, 127°C and 0.05 x 10⁵ Nm⁻² The r.m.s. velocity of its molecules in m/s is:

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 energy of the particle becomes equal to 8 × 10⁻⁴J  by the end of the second revolution after the beginning of the motion?

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 cm from the positive end of the wire in the two cases. The ratio of emf’s is:

An 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:

Two non-mixing liquids of densities ρ and nρ (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 length pL (p<1) in the denser liquid. The density d is equal to:

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 is [Latent heat of ice is 3.4 x 10⁵ J/kg and g = 10 N/kg]

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

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:

An inductor 20 mH, a capacitor 50 μF and a resistor 40 Ω are connected in series across a source of emf V = 10 sin 340 t . The power loss in A.C. circuit is:

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 x 10⁻³ Wb. The self-inductance of the solenoid is:

A siren emitting a sound of frequency 800 Hz moves away from an observer towards a cliff at a speed of 15 ms⁻¹ . Then, the frequency of sound that the observer hears in the echo reflected from the cliff is
(Take velocity of sound in air =330ms⁻¹)

In a diffraction pattern due to a single slit of width ‘a’, the first minimum is observed at an angle 30˚ when light of wavelength 5000 A˚ is incident on the slit. The first secondary maximum is observed at an angle of :

At what height from the surface of earth the gravitation potential and the value of g are -5.4 × 10⁷ Jkg⁻² and 6.0 ms⁻² respectively? Take the radius of earth as 6400 km

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

Match the corresponding entries of column 1 with column 2 (m=magnification produced by mirror)

A car is moving on a curved road of radius R. The road is banked at an angle θ. The coefficient of friction between the tyres of the car and the road is μs. The maximum safe velocity on this road is: