JEE Advanced 2016 Paper 1 Offline

Highly excited states for hydrogen-like atoms (also called Rydberg states) with nuclear charge Ze are defined by their principle quantum number n, where n >> 1. Which of the following statement(s) is(are) true?

The isotope \(_5^{12}B\) having a mass 12.014 u undergoes \(\beta\)-decay to \(_6^{12}C\). \(_6^{12}C\) has an excited state of the nucleus (\(_6^{12}C\)*) at 4.041 MeV above its ground state. If \(_5^{12}B\) decays to \(_6^{12}C\)*, the m...

A hydrogen atom in its ground state is irradiated by light of wavelength 970\(\mathop A\limits^o\).Taking hc = 1.237 \(\times\) 10\(-\)6 eVm and the ground state energy of hydrogen atom as \(-\) 13.6 eV, the number of lines present in the...

An infinite line charge of uniform electric charge density l lies along the axis of an electrically conducting infinite cylindrical shell of radius R. At time t = 0, the space inside the cylinder is filled with a material of permittivity e ...

An incandescent bulb has a thin filament of tungsten that is heated to high temperature by passing an electric current. The hot filament emits black-body radiation. The filament is observed to break up at random locations after a sufficient...

In a historical experiment to determine Planck's constant, a metal surface was irradiated with light of different wavelengths. The emitted photoelectron energies were measured by applying a stopping potential. The relevant data for th...

A conducting loop in the shape of a right angled isosceles triangle of height 10 cm is kept such that the 90\(^\circ\) vertex is very close to an infinitely long conducting wire (see the figure). The wire is electrically insulated from the ...

Two inductors L1 (inductance 1mH, internal resistance 3\(\Omega\)) and L2 (inductance 2 mH, internal resistance 4\(\Omega\)), and a resistor R (resistance 12\(\Omega\)) are all connected in parallel across a 5V battery. The circuit is switc...

A plano-convex lens is made of material of refractive index n. When a small object is placed 30 cm away in front of the curved surface of the lens, an image of double the size of the object is produced. Due to reflection from the convex sur...

A parallel beam of light is incident from air at an anglea on the side PQ of a right angled triangular prism of refractive index n = \(\sqrt 2\). Light undergoes total internal reflection in the prism at the face PR when a has a mi...

A transparent slab of thickness d has a refractive index n (z) that increases with z. Here, z is the vertical distance inside the slab, measured from the top. The slab is placed between two media with uniform refractive indices n1 and n2 (>...

A water cooler of storage capacity 120 litres can cool water at a constant rate of P watts. In a closed circulation system (as shown schematically in the figure), the water from the cooler is used to cool an external device that genera...

A metal is heated in a furnace where a sensor is kept above the metal surface to read the power radiated (P)
by the metal. The sensor has a scale that displays \({\log _2}\left( {{P \over {{P_0}}}} \right)\), where P0 is a constant. When th...

Consider two solid spheres P and Q each of density 8 gm cm–3 and diameters 1 cm and 0.5 cm, respectively. Sphere P is dropped into a liquid of density 0.8 gm cm–3 and viscosity \(\eta\) = 3 poiseulles. Sphere Q is dropped into a liquid of ...

A uniform wooden stick of mass 1.6 kg and length \(l\) rests in an inclined manner on a smooth, vertical wall
of height h ( < \(l\) ) such that a small portion of the stick extends beyond the wall. The reaction force of the
wall on the stic...

The position vector \(\overrightarrow r\) of a particle of mass m is given by the following equation
\($\overrightarrow r \left( t \right) = \alpha {t^3}\widehat i + \beta {t^2}\widehat j,\)$where \(\alpha = {{10} \over 3}m{s^{ - 3}}\), $...

A length-scale (l) depends on the permittivity (\(\varepsilon\)) of a dielectric material, Boltzmann constant (kB), the absolute temperature (T), the number per unit volume (n) of certain charged particles, and the charge (q) carried by ea...

Two loudspeakers M and N are located 20m apart and emit sound at frequencies 118 Hz and 121 Hz, respectively. A car in initially at a point P, 1800 m away from the midpoint Q of the line MN and moves towards Q constantly at 60 km/h along th...