List of top Questions asked in JEE Advanced- 1995

The function $f(x) = [x] \cos \left(\frac{2x-1}{2}\right) \pi$, [.] denotes the greatest integer function, is discontinuous at

Which has most stable +2 oxidation state?

The function $f(x) = max \{(1 - x), (1 + x), 2\}, x \in (- \infty, \infty)$ is

In the circuit shown in the figure, the current through

A battery of internal resistance $4\Omega$ is connected to the network of resistances as shown in figure. In order that the maximum power can be delivered to the network, the value of R in $2\Omega$ should be

A diminished image of an object is to be obtained on a screen 1.0 m from it. This can be achieved by placing

The probability of India winning a test match against West Indies is 1/2. Assuming independence from match to match the probability that in a 5 match series India's second win occurs at third test, is

In the formula $X = 3Y\, Z^{2}, X$ and $Z$ have dimensions of capacitance and magnetic induction respectively. What are the dimensions of $Y$ in $MKSQ$ system?

If $\overrightarrow{a},\overrightarrow{b},\overrightarrow{c}$ are non-coplanar unit vectors such that $\overrightarrow{a}\times (\overrightarrow{b} \times\overrightarrow{c}) =\frac{(\overrightarrow{b} +\overrightarrow{c})}{\sqrt 2}$ then the angle between $\overrightarrow{a}$ and $\overrightarrow{b}$ is

The orthocentre of the triangle formed by the lines $xy = 0$ and $ x+ y = 1$,is

Three rods of identical cross-sectional area and made from the same metal from the sides of an isosceles triangle ABC, right angled at B. The points A and B are maintained at temperatures T and ($\sqrt 2$)T respectively. In the steady state, the temperature of the point C is $T_c$. Assuming that only heat conduction takes place, T$_c$/T is

A battery is connected between two points A and B on the circumference of a uniform conducting ring of radius r andresistance R. One of the arcs AB of the ring subtends an angle $\theta$ at the centre. The value of the magnetic induction at the centre due to the current in the ring is

Two metallic spheres $S_1$, and S$_2$ are made of the same material and have got identical surface finish. The mass of S$_1$ is thrice that of S$_2$. Both the spheres are heated to the same high temperature and placed in the same room having lower temperature but are thermally insulated from each other. The ratio of the initial rate of cooling of $S_1$ to that of S$_2$ is

Two point masses of 0.3 kg and 0.7 kg are fixed at the ends of a rod of length 1.4 m and of negligible mass. The rod is set rotating about an axis perpendicular to its length with a uniform angular speed. The point on the rod through which the axis should pass in order that the work required for rotation of the rod is minimum, is located at a distance of

The pairs of physical quantities that have the same dimensions is (are)

An isosceles prism of angle $120^\circ$ has a refractive index 1.44. Two parallel rays of monochromatic light enter the prism parallel to each other in air as shown. The rays emerging from the opposite face