List of top Questions asked in TS EAMCET

Second harmonic of an open pipe and third harmonic of a closed pipe of length \(75\text{ cm}\) produce \(n\) beats per second. If the fundamental frequency of the open pipe is \(167\text{ Hz}\), then the value of \(n\) is (Speed of sound in air \(=340\text{ ms}^{-1}\)):

The length of an open pipe is half of the length of another closed pipe. When the two pipes are vibrated, four nodes are formed in both the cases. The ratio of the frequencies of the open and the closed pipes is:

Two wires A and B made of the same material have equal lengths. If the volumes of wires A and B are in the ratio \(1:8\) and the tensions applied to the wires A and B are in the ratio \(1:2\), then the ratio of the speeds of transverse waves in wires A and B is:

Two spherical black bodies A and B of equal radii are at temperatures \(2T\) and \(3T\). If surrounding temperature is \(T\), then ratio of radiant powers emitted by A and B is

Two plane mirrors \(A\) and \(B\) are placed parallel to each other with a separation of \(2\,\text{m}\) between them. If an object is placed between the mirrors at a distance of \(60\,\text{cm}\) from mirror \(B\), then the distance of the second nearest image seen in mirror \(B\) from mirror \(A\) is \[ (\text{The reflecting surfaces of the two mirrors face each other}) \]

Two observers \(A\) and \(B\) are moving towards a stationary source of sound with speeds \(0.8v_0\) and \(0.6v_0\) respectively, where \(v_0\) is the speed of sound in air. The ratio of the frequencies of the sound heard by the observers \(A\) and \(B\) is

A wire of length 100 cm is clamped between two rigid supports and vibrates in fundamental mode. If amplitude at midpoint is A, distance between two points having amplitude $\frac{A}{\sqrt{2}}$ is:}

Two identical circular coils each of radius \(R\) and number of turns \(N\) are arranged coaxially with a separation of \(R\) between their centers. If the current through each coil is \(I\), then the maximum resultant magnetic field induced at the midpoint of the line joining the centers of the two coils is

The frequency of electromagnetic waves produced by a charged particle oscillating about its mean position with a frequency of \(10^8\,\text{Hz}\) is

In the given figure, the directions of induced current in a square loop as it enters and leaves a uniform magnetic field respectively are

A solenoid has 15 cm circumference and 70 turns/m carrying 2 A. Magnetic field inside and outside is:

A proton and alpha particle enter same magnetic field with same KE at 30° angle. Ratio of pitches is:

A circular coil of radius \(10\,\text{cm}\) is carrying a current. From the centre of the coil, the distance of a point on its axis where \[ \frac{dB}{dx} \] becomes maximum is \[ \left( \frac{dB}{dx} \text{ is the rate of change of magnetic field with distance }x \text{ from the centre of the coil} \right) \]

A magnetic dipole is suspended in a region where two uniform magnetic fields are inclined at \(75^\circ\) with each other. In stable equilibrium, if the dipole makes an angle of \(30^\circ\) with the direction of field of \(10\sqrt2\,\text{mT}\), then the value of the second magnetic field is

A cyclotron with dees of radius \(50\text{ cm}\) and magnetic field \(1.5\text{ T}\) is used to accelerate protons and alpha particles separately. The ratio of the maximum kinetic energies acquired by proton and alpha particle is:

At a point P on the axis of a current carrying circular coil of radius R, the magnetic field is B. If the distance of point P from the centre of the coil is $R\sqrt{15}$, then the magnetic field at a point Q on the axis of the coil which is at a distance of $R\sqrt{3}$ from the centre of the coil is}

If a thin conducting wire of length \(12m\) carrying a current of \(2\sqrt3 A\) is bent into a regular hexagonal loop and placed in a uniform magnetic field of \(2T\), then the maximum torque acting on the loop is:

If an electron moving with a velocity of $4 \times 10^6\text{ ms}^{-1}$ enters a uniform magnetic field of $\frac{\pi}{2}\text{ mT}$ at an angle of $60^\circ$ with the direction of the magnetic field, then the pitch of the helical path of the electron is: (Mass of the electron $= 9 \times 10^{-31}\text{ kg}$)

When a \(15\,\Omega\) resistor is connected in parallel to a galvanometer, its deflection becomes one-fourth. Then the resistance of the galvanometer is

The maximum kinetic energy of a proton ejected from a cyclotron with dees of radius \(70\) cm and oscillating frequency \(5\) MHz (in MeV) is \[ (\text{Mass of proton}=1.67\times10^{-27}\text{ kg}) \]

If \( \alpha, \beta, \gamma, \delta \) are the roots of the equation \( x^4 - 10x^3 + 35x^2 - 50x + 24 = 0 \) and \( \alpha^2, \beta^2, \gamma^2, \delta^2 \) are the roots of the equation \( x^4 + ax^3 + bx^2 + cx + d = 0 \), then \( a = \)

If two roots of the equation \( x^5 - 9x^4 + 27x^3 - 23x^2 - 24x + 36 = 0 \) are repeated roots of multiplicity 2 and all the roots are integers then the sum of the squares of all different roots of the equation is:

If \( \alpha, \beta \in \mathbb{R} \) and \( \alpha \leq \frac{x^2 - 3x + 4}{x^2 - 4x + 5} \leq \beta \) for all \( x \in \mathbb{R} \), then \( (2\alpha - 3)^2 + (2\beta - 3)^2 = \)

Two real roots of \[ 3x^4+ax^3+55x^2-52x+12=0 \] are positive and equal. Product of other two roots is 1. If roots belong to natural numbers then \[ a\beta-a+\frac{\gamma}{\delta}= \]

If all roots of \[ x^5-3x^4+2x^3-3x^2+5x-2=0 \] are increased by real value h so that term containing \(x^3\) vanishes in transformed equation and h is integer, then h=