JEE Advanced 2019 Paper 2 Offline

A free hydrogen atom after absorbing a photon of wavelength \(\lambda\)a gets excited from the state n = 1 to the state n = 4. Immediately after that the electron jumps to n = m state by emitting a photon of wavelength \(\lambda\)e. Let t...

Suppose a \(_{88}^{226}Ra\) nucleus at rest and in ground state undergoes \(\alpha\)-decay to a \(_{86}^{222}Rn\) nucleus in its excited state. The kinetic energy of the emitted \(\alpha\) particle is found to be 4.44 MeV. $$_{86}^{222}Rn...

A perfectly reflecting mirror of mass M mounted on a spring constitutes a spring-mass system of angular frequency \(\Omega\) such that \({{4\pi M\Omega } \over h} = {10^{24}}{m^{ - 2}}\) with h as Planck's constant. N photons of wavelength...

A 10 cm long perfectly conducting wire PQ is moving with a velocity I cm/s on a pair of horizontal rails of zero resistance. One side of the rails is connected to an inductor L = 1 mH and a resistance R = 1\(\Omega\) as shown in figure. Th...

An electric dipole with dipole moment \({{{p_0}} \over {\sqrt 2 }}(\widehat i + \widehat j)\) is held fixed at the origin O in the presence of a uniform electric field of magnitude E0.If the potential is constant on a circle of radius R cen...

Three glass cylinders of equal height H = 30 cm and same refractive index n = 1.5 are placed on a horizontal surface as shown in figure. Cylinder I has a flat top, cylinder II has a convex top and cylinder III has a concave top. The radii ...

A monochromatic light is incident from air on a refracting surface of a prism of angle 75\(^\circ\) and refractive index \({n_0} = \sqrt 3\). The other refracting surface of the prism is coated by a thin film of material of refractive ind...

A mixture of ideal gas containing 5 moles of monatomic gas and 1 mole of rigid diatomic gas is initially at pressure P0, volume V0, and temperature T0. If the gas mixture is adiabatically compressed to a volume \({{{V_0}} \over 4}\), then t...

If the process on one mole of monatomic ideal gas is as shown in the TV-diagram with \({P_0}{V_0} = {1 \over 3}R{T_0}\), the correct match is,

If the process carried out on one mole of monoatomic ideal gas is as shown in the PV-diagram with \({p_0}{V_0} = {1 \over 3}R{T_0}\), the correct match is,

A block of mass 2M is attached to a massless spring with spring-constant k.This block is connected to two other blocks of masses M and 2M using two massless pulleys and strings. The accelerations of the blocks are a1, a2 and a3 as shown in ...

A ball is thrown from ground at an angle \(\theta\) with horizontal and with an initial speed u0. For the resulting projectile motion, the magnitude of average velocity of the ball up to the point when it hits the ground for the first time...

A thin and uniform rod of mass M and length L is held vertical on a floor with large friction. The rod is released from rest so that it falls by rotating about its contact-point with the floor without slipping. Which of the following statem...

An optical bench has 1.5 m long scale having four equal divisions in each cm. While measuring the focal length of a convex lens, the lens is kept at 75 cm mark of the scale and the object pin is kept at 45 cm mark. The image of the object p...

In a Young's double slit experiment, the slit separation d is 0.3 mm and the screen distance D is 1 m. A parallel beam of light of wavelength 600 nm is incident on the slits at angle \(\alpha\) as shown in figure. On the screen, the point...

A musical instrument is made using four different metal strings, 1, 2, 3 and 4 with mass per unit length \(\mu\), 2\(\mu\), 3\(\mu\) and 4\(\mu\) respectively. The instrument is played by vibrating the strings by varying the free length...

A musical instrument is made using four different metal strings, 1, 2, 3 and 4 with mass per unit length \(\mu\), 2\(\mu\), 3\(\mu\) and 4\(\mu\) respectively. The instrument is played by vibrating the strings by varying the free length...

A small particle of mass m moving inside a heavy, hollow and straight tube along the tube axis undergoes elastic collision at two ends. The tube has no friction and it is closed at one end by a flat surface while the other end is fitted wit...