List of top Questions asked in UPSEE

A string fixed at both ends has a standing wave mode for which the distances between adjacent nodes is $18\, cm$. For the next consecutive standing wave mode distances between adjacent nodes is $16\, cm$. The minimum possible length of the string is
A small bead of mass $M$ slides on a smooth wire that is bent in a circle of radius $R$. It is released at the top of the circular part of the wire (point A in the figure) with a negligibly small velocity. Find the height H where the bead will reverse direction.
A Proton and an alpha particle both are accelerated through the same potential difference. The ratio of corresponding de-Broglie wavelengths is
A particle is moving in translatory motion. If momentum of the particle decreases by $10\%$, kinetic energy will decrease by
Value of $\left[\left(\log_{b}\,a\right)\left(\log_{c}\,b\right)\left(\log_{a}\,c\right)\right]$ is
$\sin^{2}\,\theta\, \cos^{3}\,\theta-\sin^{4}\,\theta\, \cos\,\theta$ is equal
Milk is an emulsion in which:
Micelles are:
$\log_3\,2, \log_6\,2, \log_{12}\,2$ are in
Which of the following Material has lowest resistivity ?
Which of the statement is incorrect about the simple microscope?
Which of the following reacts fastest with conc. $HCl$ ?
Vegetative reproduction in Marchantia occurs through following:
Two polaroids $A$ and $B$ are placed with their polaroid axes $30^{\circ}$ to each other as shown in the figure. A plane polarized light passes through the polaroid $A$ and after passing through it, intensity of light becomes $I_0$.What is the intensity of finally transmitted light after passing through the polaroid $B$ ?
The unit of evolution is
The Lewis acidity of $BF_3$ is less than $BCl_3$ even though fluorine is more electronegative than chlorine. It is due to
In $OF_2$, oxygen has hybridization of
In a cymose type of inflorescence, the growth of the main axis terminates in a:
Hemichordates have close affinities with which of the following phylum:
Gametophyte of Pteridophyte is called:
The tangents to curve $y=x^{3}-2x^2+x-2$ which are parallel to straight line $y = x$ are
If function $f(x) = \begin{cases} x\, \sin\left(\frac{1}{x} \right) ; & \text{x $\ne$ 0} \\[2ex] a \,;& \text{x = 0} \end{cases}$ is continuous at $x = 0$, then value of $a$ is
Value of the following expression is $\displaystyle \lim_{n \to \infty}$$\frac{1}{n^{3}}\left(1^{2}+2^{2}+3^{2}+ ..... +n^{2}\right)$
Two vectors $A = 3$ and $B = 4$ are perpendicular. Resultant of both these vectors is $R$. The projection of the vector $B$ on the vector $R$ is
The Solution of the differential equation $\left(x+2y^{3}\right) \frac{dy}{dx}=y$ is