JEE Advanced 2018 Paper 2 Offline

In a radioactive decay chain, \({}_{90}^{232}Th\) nucleus decays to \({}_{82}^{212}Pb\) nucleus. Let \({N_\alpha }\) and \({N_\beta }\) be the number of \(\alpha\) and \({\beta ^ - }\) particles, respectively, emitted in this decay process...

Consider a hydrogen-like ionized atom with atomic number \(Z\) with a single electron. In the emission spectrum of this atom, the photon emitted in the \(n=2\) to \(n=1\) transition has energy \(74.8eV\) higher than the photon emitted in th...

In a photoelectric experiment a parallel beam of monochromatic light with power of \(200\) \(W\) is incident on a perfectly absorbing cathode of work function \(6.25\) \(ev.\) The frequency of light is just above the threshold frequency so ...

The electric field \(E\) is measured at a point \(P(0,0,d)\) generated due to various charge distributions and the dependence of \(E\) on \(d\) is found to be different for different charge distributions. List-\({\rm I}\) contains differen...

A particle, of mass \({10^{ - 3}}\) \(kg\) and charge \(1.0\) \(C,\) is initially at rest. At time \(t=0,\) the particle comes under the influence of an electric field \(\overrightarrow E \left( t \right) = {E_0}\sin \,\,\) $$\omega t\wideh...

An infinitely long thin non-conducting wire is parallel to the \(z\)-axis and carries a uniform line charge density \(\lambda .\) It pierces a thin non-conducting spherical shell of radius \(R\) in such a way that the arc \(PQ\) subtends an...

A wire is bent in the shape of a right angled triangle and is placed in front of a concave mirror of focal length \(f,\) as shown in the figure. Which of the figures shown in the four options qualitatively represent(s) the shape of the ima...

A planet of mass \(M,\) has two natural satellites with masses \({m_1}\) and \({m_2}.\) The radii of their circular orbits are \({R_1}\) and \({R_2}\) respectively, Ignore the gravitational force between the satellites. Define $${v_1},{...

One mole of a monatomic ideal gas undergoes an adiabatic expansion in which its volume becomes eight times its initial value. If the initial temperature of the gas is \(100\,K\) and the universal gas constant \(R=8.0\) $$J\,mo{l^{ - 1}}{K^{...

One mole of a monatomic ideal gas undergoes four thermodynamic processes as shown schematically in the \(PV\)-diagram below. Among these four processes, one is isobaric, one is isochoric, one is isothermal and one is adiabatic. Match the pr...

A solid horizontal surface is covered with a thin layer of oil. A rectangular block of mass \(m=0.4\) \(kg\) is at rest on this surface. An impulse of \(1.0\) \(Ns\) is applied to the block at time \(t=0\) so that it starts moving along the...

A moving coil galvanometer has \(50\) turns and each turn has an area \(2 \times {10^{ - 4}}\,{m^2}.\) The magnetic field produced by the magnet inside the galvanometer is \(0.02\) \(T.\) The torsional constant of the suspension wire is $${...

A ball is projected from the ground at an angle of \({45^o}\) with the horizontal surface. It reaches a maximum height of \(120\) \(m\) and returns to the ground. Upon hitting the ground for the first time, it loses half of its kinetic ener...

Consider a thin square plate floating on a viscous liquid in a large tank. The height \(h\) of the liquid in the tank is much less than the width of the tank. The floating place is pulled horizontally with a constant velocity $${\mu _{0.}}$...

A steel wire of diameter \(0.5\) \(mm\) and Young's modulus \(2 \times {10^{11}}\,\,N{m^{ - 2}}\) carries a load of mass \(M.\) The length of the wire with the load is \(1.0\) \(m.A\) vernier scale with \(10\) divisions is attached to the e...

In an experiment to measure the speed of sound by a resonating air column, a tuning fork of frequency \(500\) \(Hz\) is used. The length of the air column is varied by changing the level of water in the resonance tube. Two successive resona...

A particle of mass \(m\) is initially at rest at the origin. It is subjected to a force and starts moving along the \(x\)-axis. Its kinetic energy \(K\) changes with time as \(dK/dt = \gamma t,\) where \(\gamma\) is a positive constant of ...

In the List-\({\rm I}\) below, four different paths of a particle are given as functions of time. In these functions, \(\alpha\) and \(\beta\) are positive constants of appropriate dimensions and \(\alpha \ne \beta\) In each case, th...