List of top Questions asked in EAMCET

The de-Broglie wavelength of an electron moving with a velocity of $1.5 \times 10^{8} m / s$ is equal to that of a photon. The ratio of kinetic energy of the electron to that of the photon $\left(c=3 \times 10^{8} m / s \right)$

$A \,1 \,N$ pendulum bob is held at an angle $\theta$ from the vertical by a $2\, N$ horizontal force $F$ as shown in the figure. The tension in the string supporting the pendulum bob (in newton) is

A theatre of volume $100 \times 40 \times 10m^3$ can accommodate 1000 visitors. The reverberation time of the theatre when empty is 8.5 s. If the theatre is now filled with 500 visitors, occupying the front-half seats, the reverberation time changes to 6.2 s. The average absorption coeficient of each visitor is nearly

The maximum tension a rope can withstand is $60\, kg-wt.$ The ratio of maximum acceleration with which two boys of masses $20 \,kg$ and $30 \,kg$ can climb up the rope at the same time is

A uniform chain of length $L$ is lying on the horizontal table. If the coefficient of friction between the chain and the table top is $\mu$, what is the maximum length of the chain that can hang over the edge of the table without disturbing the rest of the chain on the table?

A solid sphere rolls down two different inclined planes of same height, but of different inclinations. ln both cases

A circular disc of radius $R$ is removed from a bigger circular disc of radius $2 R$ such that the circumferences of the discs touch. The centre of mass of the new disc is at a distance $\alpha R$ from the centre of the bigger disc. The value of $\alpha$ is

A man stands in a narrow, steep-sided valley. When he shouts he hears two echoes, one after l s and other after 2 s. If the velocity of sound in air is 330 m/s, the width of the valley is

The magnification produced by an astronomical telescope for normal adjustment is 10 and the length of the telescope is 1.1m. The magnification, when the image is formed at least distance of distinct vision is

The current- voltage graph for a given metallic wire at two different temperatures t) and $ {{T}_{1}} $ and $ {{T}_{2}} $ is shown in the figure. The temperatures $ {{T}_{1}} $ and $ {{T}_{2}} $ are related as

A battery of emf 2.1 V and internal resistance is shunted for 5 s by a wire of constant resistance 0.02 $ \Omega $ ,mass 1 g and specific heat 0.1 cal/g/?C. The rise in the temperature of the wire is

A lead bullet of unknown mass is fired with a speed of 180 ms-1 into a tree in which it stops. Assuming that in this process two-third of heat produced goes into the bullet and one- third into wood. The temperature of the bullet rises by (Specific heat of lead $ =\text{ }0.120\text{ }J{{g}^{-1}}{{C}^{-1}} $ )

In the figures shown below

If 200 MeV of energy is released in the fission of nucleus of $ _{92}{{U}^{235}}, $ the number of nuclei that undergo fission to produce energy of 10 kWh in 1 s

If $\alpha, \beta, \gamma$ are the roots of $x^{3}+4 x+1=0$, then the equation whose roots are $\frac{\alpha^{2}}{\beta+\gamma}, \frac{\beta^{2}}{\gamma+\alpha},\,\frac{\gamma^{2}}{\alpha+\beta}$ is

A simple pendulum is executing SHM with a period of 6 s between two extreme positions B and C about a point O. If the length of the arc BC is 10 cm, how long will the pendulum take the move from position C to a position D towards O exactly midway between C and O?

For the reaction $N _{2}( g )+ O _{2}( g ) \rightleftharpoons 2 NO ( g )$ the equilibrium constant is $K _{1}$. The equilibrium constant is $K _{2}$ for the reaction $2 NO ( g )+ O _{2}( g ) \rightleftharpoons 2 NO _{2}( g ) .$ What is $K$ for the reaction $NO _{2}( g ) \rightleftharpoons 1 / 2 N _{2}( g )+ O _{2}( g ) ?$

The number of subsets of $\{1, 2, 3 ,............,9\}$ containing at least one odd number is

For $|x|<1$, the constant term in the expansion of $\frac{1}{(x-1)^{2}(x-2)}$ is

Let $f(x)=x^{2}+a x +b,$ where $a, b \in R .$ If $f(x)=0$ has all its roots imaginary, then the roots of $f(x)+f'(x)+f''(x)=0$ are

The volume of mercury in the bulb of a thermometer is $ {{10}^{-6}}{{m}^{3}} $ . The area of cross- section of the capillary tube is $ 2\times {{10}^{-7}}{{m}^{2}}. $ If the temperature is raised by $ 100{}^\circ C $ , the increase in the length of the mercury column is $ \left( {{\gamma }_{Hg}}=18\,\times \,{{10}^{-5}}{{/}^{0}}C \right) $

Match the following.

A binary sequence is an array of $0's$ and $1's$. The number of $n$ -digit binary sequences which contain even number of $0's$ is

$p$ points are chosen on each of the three coplanar lines. The maximum number of triangles formed with vertices at these points is

When a glass lens with n = 1.47 is immersed in a trough of liquid, it looks to be disappeared. The liquid in the trough could be