List of top Physics Questions asked in AMUEEE

Figure shows an object $ AB $ placed in front of two thin coaxial lenses $ 1 $ and $ 2 $ with focal lengths $ 24\, cm $ and $ 9.0 \,cm $ , respectively. The object is $ 6.0\, cm $ from the lens I and the lens separation is $ L = 10\, cm $ . Where does the system of two lenses produce an image of the object $ AB $ ?

A given object takes $n$ times more time to slide down a $45^{\circ}$ rough inclined plane as it takes to slide down a perfectly smooth $45^{\circ}$ incline. The coefficient of kinetic friction between the object and the incline is :

A beam of parallel light rays is incident on a solid transparent sphere of refractive index $ \mu $ . If a point image is produced just at the back of the sphere, what is the refractive index of the sphere?

Four conductors carrying $2.0\, A$ of current into or out of the page are shown in the diagram. $A$ path $C$ is indicated for the line integral $\oint B$. $d s$. Find the value of the integral for the path $C$.

In a container, $200 \,g$ of aluminum (specific heat $900\, J / kg K$ ) at $100^{\circ} C$ is mixed with $50\, g$ of water at $20^{\circ} C$, with the mixture thermally isolated. Find the entropy change of the aluminumwater system.

A $70 \,cm$ long sonometer wire is in unison with a tuning fork. If the length of the wire is decreased by $1.0\, cm$, it produces $4$ beats per second with the same tuning fork. The frequency of the tuning fork is

In the given figure container A holds an ideal gas at a pressure of $ 50\times 10^{5}\, Pa$ and a temperature of $300 \,K$. It is connected by a thin tube (and a closed) container $B$, with four times the volume of $A$. Container $B$ holds same at a pressure of $ 1.0\times 10^{5} \, Pa$ and a temperature of $400 \,K$. The valve is open allow the pressures to equalize, but the temperature of each container constant at its initial value. The final pressure in the two containers will be to

Two identical conducting spheres, fixed in place, attract each other with an electrostatic force of $0.108\,N$ when separated by $50.0\, cm$, center to center. The spheres are then connected by a thin conducting wire. When the wire is removed the spheres repel each other with an electrostatic force of $0.0360\, N$. The initial charges on the spheres were

Starting with the same initial conditions, an ideal gas expands from volume $ {{V}_{1}} $ to $ {{V}_{2}} $ in three different ways. The work done by the gas is $ {{W}_{1}} $ if the process purely isothermal, $ {{W}_{2}} $ if purely isobaric and $ {{W}_{3}} $ if purely adiabatic. Then

1 mole of an ideal gas expands isothermally so that its pressure falls $ 1.0 \times {{10}^{5}} $ Pa to $ 0.5\times {{10}^{5}} $ Pa. The change in entropy of the gas is equal to

A capacitor of capacity $C_{1}=3.5 \,\mu F$ is charged to a potential difference $V_{0}=6.0\, V$ using a battery. The battery is then removed and the capacitor connected using a switch $S$, as shown in the figure, to an uncharged capacitor of capacity $C_{2}=6.5 \,\mu F$. The total final energy of the two capacitors after they are connected together then the charges $\left|q_{1}\right|$ and $\left|q_{2}\right|$ on the capacitors shall be

In the potentiometer circuit shown in the figure, the balance length $AJ = 58$ when switch $S$ is open. When switch S is closed and the value of $ R=5\,\Omega $ , balance length $AJ' = 50 \,cm$. The internal resistance of the cell $C'$ is

For a damped harmonic oscillator of mass $ 250\,g $ , the values of spring constant $ (k) $ and damping constant $ (b) $ are $ 85\, N/m $ and $ 70\,g/s $ , respectively. What is the period of motion ?

An oscillator consists of a block attached to a spring $(k = 400 \,N/m)$. At some time t, the position (measured from the systems equilibrium location), velocity and acceleration of the block are $ x=0.100\,m,\,v=-15.0\,m/s $ , and $ a=-90\,m/s^{2} $ . The amplitude of the motion and the mass of the block are

A non-conducting sphere of radius a has a net charge $+q$ uniformly distributed throughout its volume. A spherical conducting shell having inner and outer, radii b and c and a net charge $-q$ is concentric with the sphere (see the figure). Read the following statements (i) The electric field at a distance $r$ from the center of the sphere = $\frac{1}{4\pi \epsilon_o} \frac {qr}{a^3} for\, r < a$ (ii) The electric field at distance $r$ from the center of the sphere for $a < r < b = 0$ (iii) The electric field at distance $r$ from the center of the sphere for $b < r < c < = 0$ (iv) The charge on the inner surface of the hollow sphere = $-q$ (v) The charge on the outer surface of the hollow sphere = $+q$.

Water standing in the open at $ {{32}^{o}}C $ evaporates because of the escape of some of the surface mole cuels. The heat of vaporisation (540 cal/g) is approximately equal to $ \varepsilon $ n, where $ \varepsilon $ is the average energy of the escaping molecules and n is the number of molecules per gram. The value of $ \varepsilon $ is close to

$\lambda_1$ and $\lambda_2$ are used to illuminate the slits. $\beta_1$ and $\beta_2$ are the corresponding fringe widths. The wavelength $\lambda_1$ can produce photoelectric effect when incident on a metal. But the wavelength $\lambda_2$ cannot produce photoelectric effect. The correct relation between $\beta_1$ and $\beta_1$ is

Particle $A$ moves along the line $ y=4\sqrt{3}\,m $ with constant velocity v of magnitude $2.0 \,m/s$ and directed parallel to the positive $x$ -axis (see figure). Particle $B$ starts at the origin with zero speed and constant accelerationa (of magnitude $ 4.0\,m/s^{2} $ ) at the same instant that the particle A passes the y axis. The angle $ \theta $ between a and the positive $y$ axis that would result in a collision between these two particles should have a value equal to

The ratio of the radii of the nuclei $ _{13}Al^{27} $ and $ _{52}Te^{125} $ is

The electric field in a region is given by $ E=\frac{A}{x^{3}}\,\hat{i}+By\,\hat{j}+Cz^{2}\,\hat{k} $ The $ SI $ units of $ A $ , $ B $ and $ C $ are, respectively

In a new system of units called star units, $ 1\,kg^* = 10 \,kg $ , $ 1 \,m^* =1 \,km $ and $ 1s^* = 1 $ minute, what will be the value of $ 1J $ in the new system ?

Figure shows a series $LCR$ circuit with $R = 200 \,\Omega,\, C = 15.0\, \mu F$ and $L = 230\, mH$. If $\varepsilon = 36.0\, sin\, 120\pi t$, the amplitude $I_{0}$ of the current $I$ in the circuit is close to

Figure gives the acceleration of a $2.0 \,kg$ body as it moves from rest along $x$ axis while a variable force acts on it from $ x=0\,m $ to $ x=9\,m $ . The work done by the force on the body when it reaches (i) $ x=4\,m $ and (ii) $ x=7\,m $ shall be as given below

An object and its real image are located at distances $25\, cm$ and $40 \,cm$ respectively from the two principal foci of a convex lens. The linear magnification of the image is near to

A uniform rope of mass $ 0.1 \,kg $ and length $ 2.45 \,m $ hangs from a ceiling. The time taken by a transverse wave to travel the full length of the rope is