JEE Main 2015 Physics Paper: 11 Apr, Shift 1

The AC voltage across a resistance can be measured using a:

For the LCR circuit, shown here, the current is observed to lead the applied voltage. An additional capacitor C', when joined with the capacitor C present in the circuit, makes the power factor of the circuit unity. The capacitor C', must have been connected in:

The de - Broglie wavelength associated with the electron in the n = 4 level is:

In figure is shown a system of four capacitors connected across a 10 V battery. Charge that flow from switch S when it is closed is:

A uniform thin rod AB of length L has linear mass density $\mu$ (x) = a + $\frac{bx}{L},$ where x is measured from A. If the CM of the rod lies at a distance of $\left(\frac{7}{12}L\right)$ from A, then a and b are related as:

In the electric network shown, when no current flows through the 4 $\Omega$ resistor in the arm EB, the potential difference between the points A and D will be:

For plane electromagnetic waves propagating in the z direction, which one of the following combination gives the correct possible direction for $\vec{E}$ and $\vec{B}$ field respectively?

A wire, of length L(=20 cm), is bent into a semi-circular arc. If the two equal halves, of the arc, were each to be uniformly charged with charges $\pm$Q, [ $|Q|$ = 103 $\varepsilon$0 Coulomb where $\varepsilon$0 is the permittivity (in SI units) of free space ] the net electric field at the center O of the semi-circular arc would be:

An electric field

$\vec{E} = \left(25\hat{i} + 30\hat{j}\right)\text{ N C}^{-1}$ exists in a region of space. If the potential at the origin is taken to be zero then the potential at x = 2 m, y = 2 m is:

Which of the following most closely depicts the correct variation of the gravitation potential V(r) due to a large planet of radius R and uniform mass density? (figuresarenotdrawntoscale)

A short bar magnet is placed in the magnetic meridian of the earth with north pole pointing north. Neutral points are found at a distance of 30 cm from the magnet on the east - West line, drawn through the middle point of the magnet. The magnetic moment of the magnet in Am2 is close to: (Given $\frac{\mu_0}{4\pi}$ = 10$-$7 in SI units and BH = Horizontal component of earth's magnetic field = 3.6 $\times$ 10 $-$5 Tesla.)

Two long straight parallel wires, carrying (adjustable) currents I1 and I2, are kept at a distance d apart. If the force 'F' between the two wires is taken as 'positive' when the wires repel each other and 'negative' when the wires attract each other, the graph showing the dependence of 'F', on the product I1I2, would be:

A wire carrying current I is tied between points P and Q and is in the shape of a circular arch of radius R due to a uniform magnetic field B (perpendicular to the plane of the paper, shown by xxx) in the vicinity of the wire. If the wire subtends an angle 2$\theta$0 at the center of the circle (of which it forms an arch) then the tension in the wire is:

Let N$\beta$ be the number of $\beta$ particles emitted by 1 gram of Na24 radioactive nuclei (half life = 15 hrs) in 7.5 hours, N$\beta$ is close to (Avogadro number = 6.023 $\times$ 1023 / g. mole):

A pendulum with time period of 1s is losing energy due to damping. At certain time its energy is 45 J. If after completing 15 oscillations, its energy has become 15 J, its damping constant (in s${}^{-1}$) is:

A cylindrical block of wood (density = 650 kg m${}^{-3}$), of base area 30 cm2 and height 54 cm, floats in a liquid of density 900 kg m${}^{-3}$. The block is depressed slightly and then released. The time period of the resulting oscillations of the block would be equal to that of a simple pendulum of length (nearly):

A thin convex lens of focal length 'f' is put on a plane mirror as shown in the figure. When an object is kept at a distance 'a' from the lens $-$ mirror combination, its image is formed at a distance $\frac{a}{3}$ in front of the combination. The value of 'a' is:

A particle of mass 2 kg is on a smooth horizontal table and moves in a circular path of radius 0.6 m. The height of the table from the ground is 0.8 m. If the angular speed of the particle is 12 rad s${}^{-1}$, the magnitude of its angular momentum about a point on the ground right under the center of the circle is:

A 2V battery is connected across AB as shown in the figure. The value of the current supplied by the battery when in one case battery's positive terminal is connected to A and in other case when positive terminal of battery is connected to B will respectively be:

The value of the resistor, RS, needed in the dc voltage regulator circuit shown here, equals:

Using equipartition of energy, the specific heat (in J kg${}^{-1}$ K${}^{-1}$) of aluminium at room temperature can be estimated to be (atomic weight of aluminium = 27)

An experiment takes 10 minutes to raise the temperature of water in a container from 0oC to 100oC and another 55 minutes to convert it totally into steam by a heater supplying heat at a uniform rate. Neglecting the specific heat of the container and taking specific heat of water to be 1 cal/goC, the heat of vapourization according to this experiment will come out to be:

If electronic charge e, electron mass m, speed of light in vacuum c and Planck's constant h are taken as fundamental quantities, the permeability of vacuum $\mu$0 can be expressed in units of:

A beaker contains a fluid of density $\rho$ kg / m3, specific heat S J/kgoC and viscosity $\eta$. The beaker is filled up to height h. To estimate the rate of heat transfer per unit area ( $\dot{Q}/A$) by convection when beaker is put on a hot plate, a student proposes that it should depend on $\eta \cdot \left(\frac{S\Delta\theta}{h}\right)$ and $\left(\frac{1}{\rho g}\right)$ when $\Delta\theta$ (inoC) is the difference in the temperature between the bottom and top of the fluid. In that situation the correct option for ($\dot{Q}/A$) is:

A vector $\vec{A}$is rotated by a small angle $\Delta\theta$ radian ($\Delta\theta$ < <1) to get a new vector $\vec{B}$. In that case is:

A source of sound emits sound waves at frequency f0. It is moving towards an observer with fixed speed $v$s ($v$s < $v$, where $v$ is the speed of the sound in air). If the observer were to move towards the source with speed $v$0, one of the following two graphs (A and B) will give the correct variation of the frequency f heard by the observer as $v$0 is changed.

The variation of f with $v$0 is given correctly by:

Unpolarized light of intensity I0 is incident on surface of a block of glass at Brewster's angle. In that case, which one of the following statements is true?

In a Young's double slit experiment with light of wavelength $\lambda$ the separation of slits is d and distance of screen is D such that D > > d > > $\lambda$. If the Fringe width is $\beta,$ the distance from point of maximum intensity to the point where intensity falls to half of maximum intensity on either side is: