JEE Advanced 2015 Paper 1 Offline

Match the nuclear processes given in Column I with the
appropriate option(s) in Column II:

Consider a hydrogen atom with its electron in the nth orbital. An electromagnetic radiation of wavelength 90 nm is used to ionize the atom. If the kinetic energy of the ejected electron is 10.4 eV, then the value of n is (hc = 1242 eV nm)

A nuclear power plant supplying electrical power to a village uses a radioactive material of half life T years as the fuel. The amount of fuel at the beginning is such that the total power requirement of the village is 12.5 % of the electri...

In an aluminium (Al) bar of square cross section, a square hole is drilled and is filled with iron (Fe) as shown in the figure. The electrical resistivities of Al and Fe are 2.7 \(\times\) 10\(-\)8\(\Omega\) m and 1.0 \(\times\) 10\(-\)7 $...

For photo-electric effect with incident photon wavelength \(\lambda\), the stopping potential is V0. Identify the correct variation(s) of V0 with \(\lambda\) and \({1 \over \lambda }\).

An infinitely long uniform line charge distribution of charge per unit length \(\lambda\) lies parallel to the y-axis in the y-z plane at \(z = {{\sqrt 3 } \over 2}\)a (see figure). If the magnitude of the flux of the electric field through...

The figures below depict two situations in which two infinitely long static line charges of constant positive line charge density \(\lambda\) are kept parallel to each other. In their resulting electric field, point charges \(q\) and $$-q$...

Two identical glass rods S1 and S2 (refractive index = 1.5) have one convex end of radius of curvature 10 cm. They are placed with the curved surfaces at a distance d as shown in the figure, with their axes (shown by the dashed line) aligne...

Consider a concave mirror and a convex lens (refractive index = 1.5) of focal length 10 cm each, separated by a distance of 50 cm in air (refractive index = 1) as shown in the figure. An object is placed at a distance of 15 cm from the mirr...

A bullet is fired vertically upwards with velocity v from the surface of a spherical planet. When it reaches
its maximum height, its acceleration due to the planet’s gravity is \({\left( {{1 \over 4}} \right)^{th}}\) of its value at the sur...

A container of fixed volume has a mixture of one mole of hydrogen and one mole of helium in equilibrium
at temperature T. Assuming the gases are ideal, the correct statement(s) is(are)

Two spherical stars A and B emit blackbody radiation. The radius of A is 400 times that of B and A emits
104 times the power emitted from B. The ratio \(\left( {{{{\lambda _A}} \over {{\lambda _B}}}} \right)\) of their wavelengths $${{\lamb...

A conductor (shown in the figure) carrying constant current I is kept in the x-y plane in a uniform magnetic field B. If F is the magnitude of the total magnetic force acting on the conductor, then the correct statements is/are

Two identical uniform discs roll without slipping on two different surfaces AB and CD (see figure) starting at A and C with linear speeds v1 and v2, respectively, and always remain in contact with the surfaces. If they reach B and D with th...

A ring of mass M and radius R is rotating with angular speed \(\omega\) about a fixed vertical axis passing through its centre O with two point masses each of mass \({M \over 8}\) at rest at O. These masses can move radially outwards along ...

Two independent harmonic oscillators of equal masses are oscillating about the origin with angular frequencies \(\omega\)1 and \(\omega\)2 and have total energies E1 and E2, respectively. The variations of their momenta p with positions x a...

Planck's constant h, speed of light c and gravitational constant G are used to form a unit of length L and a
unit of mass M. Then the correct option(s) is(are)

Consider a Vernier callipers in which each 1 cm on the main scale is divided into 8 equal divisions and a
screw gauge with 100 divisions on its circular scale. In the Vernier callipers, 5 divisions of the Vernier
scale coincide with 4 divis...

A Young's double slit interference arrangement with slits S1 and S2 is immersed in water (refractive index = 4/3) as shown in the figure. The positions of maxima on the surface of water are given by x2 = p2m2\(\lambda\)2 \(-\) d2, where $$\...

A particle of unit mass is moving along the x-axis under the
influence of a force and its total energy is conserved. Four
possible forms of the potential energy of the particle are given
in Column I (a and U0
are constants). Match the pote...