List of top Questions asked in JEE Advanced- 1983

If $G(x) = - \sqrt{25 - x^2}$ then $\displaystyle \lim_{x \to 1} \frac{G(x) - G(1)}{x - 1}$ has the value

A ray of light from a denser medium strikes a rarer medium at an angle of incidence i (see figure). The reflected and refracted rays make an angle of $90^\circ$ with each other. The angles of reflection and refraction are r and r'. The critical angle is

The equation; \(4\space _1^1H \rightarrow _4^2{He}^2+2e^-+26 MeV\)

Which of the following compounds does not dissolve in cone. $H_2S O_4$ even on warming?

The current i in the circuit (see figure) is

A catalyst is a substance which

A solid conducting sphere having a charge Q is surrounded by an uncharged concentric conducting hollow spherical shell. Let the potential difference between the surface of the solid sphere and that of the outer surface of the hollow shell be V. If the shell is now given a change of - 3Q, the new potential difference between the same two surfaces is

A hollow metal sphere of radius 5 cm is charged such that the potential on its surface is 10 V. The potential at the centre of the sphere is.

Carbon tetrachloride has no net dipole moment because of

When ethanal is treated with Fehling's solution, it gives a precipitate of

The value of the integral $ \int^{ \pi / 2 }_ 0 \frac {\sqrt { \cot \, x }}{ \sqrt { \cot \, x } + \sqrt { \tan \, x }} \, dx \, is $

The Cannizzaro's reaction is not given by

Principal quantum number of an atom is related to the

The value of tan $\bigg[cos^{-1}\bigg(\frac{4}{5}\bigg)+tan^{-1}\bigg(\frac{2}{3}\bigg)\bigg]$ is

Fifteen coupons are numbered 1, 2....... 15, respectively. Seven coupons are selected at random one at a time with replacement. The probability that the largest number appearing on a selected coupon is 9, is

The equation of the circle passing through (1, 1) and the points of intersection of $x^2 + y^2 + 13x - 3y =0$ and $2x^2 + 2y^2 + 4 x - 7y -2 5 = 0$ is

The volume of the parallelopiped whose sides are given by $\overrightarrow{OA}=2\widehat{i}-3\widehat{j},\overrightarrow{OB}=\widehat{i}+\widehat{j}-\widehat{k},\overrightarrow{OC}=3\widehat{i}-\widehat{k}$ is

Diethyl ether on heating with conc. HI gives two moles of

Any p-orbital can accommodate upto

An ideal monoatomic gas is taken round the cycle $ABCDA$ as shown in the P - V diagram (see figure). The work done during the cycle is

Acetamide is treated with the following reagents separately. Which one of these would yield methyl amine?

Which of the following functions is periodic?

The domain of definition of the function $y = \frac{1}{\log{10} ( 1 -x)} + \sqrt{x + 2}$ is

A thin circular ring of mass M and radius r is rotating about its axis with a constant angular velocity $\omega$. Two objects, each of mass m, are attached gently to the opposite ends of a diameter of the ring. The wheel now rotates with an angular velocity

A conducting circular loop of radius r carries a constant current i . It is placed in a uniform magnetic field $B_0$ such that $B_0$ is perpendicular to the plane of the loop. The magnetic force acting on the loop is