JEE Advanced 2017 Paper 1 Offline

In the circuit shown, \(L = 1\,\mu H,C = 1\,\mu F\,\) and \(R = 1\,k\Omega .\) They are connected in series with an a.c. source
\(V = {V_0}\sin \omega t\) as shown.
Which of the following options is/are correct?

\({}^{131}{\rm I}\) is an isotope of Iodine that \(B\) decays to an isotope of Xenon with a half-life of \(8\) days. A small amount of a serum labelled with \({}^{131}{\rm I}\) is injected into the blood of a person. The activity of the am...

An electron in a hydrogen atom undergoes a transition from an orbit with quantum number \({n_i}\) to another with quantum number \({n_f}\). \({V_i}\) and \({V_f}\) are respectively the initial and final potential energies of the electron. I...

A circular insulated copper wire loop is twisted to form two loops of area \(A\) and \(2A\) as shown in the figure. At the point of crossing the wires remain electrically insulated from each other. The entire loop lies in the plane (of the ...

For an isosceles prism of angle \(A\) and refractive index \(\mu\), it is found that the angle of minimum deviation \({\delta _m} = A.\)
Which of the following options is/are correct?

A monochromatic light is travelling in a medium of refractive index \(n=1.6.\) It enters a stack of glass layers from the bottom side at an angle \(\theta = {30^ \circ }.\) The interfaces of the glass layers are parallel to each other. The...

Which one of the following options is the correct combination?

Which of the following options is the only correct representation of a process in which
\(\Delta U = \Delta Q - P\Delta V\)?

Which one of the following options correctly represents a thermodynamic process that is used as a correction in the determination of the speed of sound in an ideal gas?

In which case will the particle move in a straight line with constant velocity?

In which case would the particle move in a straight line along the negative direction of \(y\)-axis (i.e., move along \(- \widehat y\))?

In which case will the particle describe a helical path with axis along the positive \(z\) direction?

A drop of liquid of radius \(R = {10^{ - 2}}\,m\) having surface tension \(S = {{0.1} \over {4\pi }}N{m^{ - 1}}\) divides itself into \(K\) identical drops. In this process the total change in the surface energy $$\Delta U = {10^{ - 3}}\,J...

A human body has a surface area of approximately \(1\,m{}^2.\) The normal body temperature is \(10\) \(K\) above the surrounding room temperature \({T_0}.\) Take the room temperature to be \({T_0} = 300K.\) For \({T_0} = 300\,K,\) the value...

A block of mass \(M\) has a circular cut with a frictionless surface as shown. The block resets on the horizontal frictionless surface of a fixed table. Initially the right edge of the block is at \(x=0,\) in a co-ordinate system fixed to t...

A block \(M\) hangs vertically at the bottom end of a uniform rope of constant mass per unit length. The top end of the rope is attached to fixed rigid support at \(O.\) A transverse wave pulse (Pulse 1) of wavelength \({\lambda _0}\) is pr...

A stationary source emits sound of frequency \({f_0} = 492\,Hz.\) The sound is reflected by a large car approaching the source with a speed of \(2\,m{s^{ - 1.}}\) The reflected signal is received by the source and superposed with the origin...

A flat plate is moving normal to its plane through a gas under the reaction of a constant force \(F.\) The gas is kept at a very low pressure. The speed of the plate \(v\) is much less than the average speed u of the gas molecules.
Which o...