JEE Advanced 2018 Paper 1 Offline

Three identical capacitors \({C_1},{C_2}\) and \({C_3}\) have a capacitance of \(1.0\,\mu F\) each and they are unchanged initially. They are connected in a circuit as shown in the figure and \({C_1}\) is then filled completely with a diele...

In the figure below, the switches \({S_1}\) and \({S_2}\) are closed simultaneously at \(t=0\) and a current starts to flow in the circuit. Both the batteries have the same magnitude of the electromotive force (emf) and the polarities are a...

In electromagnetic theory, the electric and magnetic phenomena are related to each other. Therefore, the dimensions of electric and magnetic quantities must also be related to each other. In the questions below, \([E]\) and \([B]\) stand fo...

In electromagnetic theory, the electric and magnetic phenomena are related to each other. Therefore, the dimensions of electric and magnetic quantities must also be related to each other. In the questions below, \([E]\) and \([B]\) stand fo...

Sunlight of intensity \(1.3\) \(kW\,{m^{ - 2}}\) is incident normally on a thin convex lens of focal length \(20\) cm. Ignore the energy loss of light due to the lens and assume that the lens aperture size is much smaller than its focal len...

One mole of a monatomic ideal gas undergoes a cyclic process as shown in the figure (where \(V\) is the volume and \(T\) is the temperature). Which of the statements below is (are) true?

In the \(xy\)-plane, the region \(y > 0\) has a uniform magnetic field \({B_1}\widehat k\) and the region \(y < 0\) has another uniform magnetic field \({B_2}\widehat k.\) A positively charged particle is projected from the origin along the...

Two infinitely long straight wires lie in the \(xy\)-plane along the lines \(x = \pm R.\) The wire located at \(x = + R\) carries a constant current \({I_1}\) and the wire located at \(x=-R\) carries a constant current \({I_2}.\) A circul...

A uniform capillary tube of inner radius \(r\) is dipped vertically into a beaker filled with water. The water rises to a height \(h\) in the capillary tube above the water surface in the beaker. The surface tension of water is \(\sigma .\)...

Two conducting cylinders of equal length but different radii are connected in series between two heat baths kept at temperatures \({T_1} = 300\,K\) and \({T_2} = 100\,K\), as shown in the figure. The radius of the bigger cylinder is twice t...

Consider a body of mass \(1.0\) \(kg\) at rest at the origin at time \(t=0.\) A force \(\overrightarrow F = \left( {\alpha t \widehat i + \beta \widehat j} \right)\) is applied on the body, where \(\alpha = 1.0N{s^{ - 1}}\) and $$\beta =...

Two vectors \(\overrightarrow A\) and \(\overrightarrow B\) are defined as \(\overrightarrow A\) \(=\) \(a\widehat i\) and \(\overrightarrow B = a\) \(\left( {\cos \,\omega T\widehat i + \sin \,\omega t\,\widehat j} \right),\) where $$...

The potential energy of a particle of mass \(m\) at a distance \(r\) from a fixed point \(O\) is given by \(V\left( r \right) = k{r^2}/2,\) where \(k\) is a positive constant of appropriate dimensions. This particle is moving in a circular ...

A ring and disc are initially at rest, side by side, at the top of an inclined plane which makes an angle \({60^ \circ }\) with the horizontal. They start to roll without slipping at the same instant of time along the shortest path. If the...

If the measurement errors in all the independent quantities are known, then it is possible to determine the error in any dependent quantity. This is done by the use of series expansion and truncating the expansion at the first power of the ...

If the measurement errors in all the independent quantities are known, then it is possible to determine the error in any dependent quantity. This is done by the use of series expansion and truncating the expansion at the first power of the ...

Two men are walking along a horizontal straight line in the same direction. The man in front walks at a speed \(1.0\,m{s^{ - 1}}\) and the man behind walks at a speed \(2.0\,m{s^{ - 1}}.\) A third man in standing at a height \(12\) \(m\) ab...

A spring-block system is resting on a frictionless floor as shown in the figure. The spring constant is \(2.0\,N{m^{ - 1}}\) and the mass of the block is \(2.0\) \(kg.\) Ignore the mass of the spring. Initially the spring is an unstretched ...