List of top Questions asked in AP EAPCET

If a charged particle enters a uniform magnetic field normally with certain velocity, then the time period of revolution of the particle:

The internal energy of one mole of a rigid diatomic gas at absolute temperature \( T \) is:

In a closed organ pipe, the number of nodes formed in fifth and ninth harmonics are respectively:

Radius of gyration of a thin uniform rod of length \( L \) about an axis passing through its centre and perpendicular to its length is:

A thin circular ring and a circular disc of equal mass are rolling without sliding. If their linear velocities are equal and the total kinetic energy of the disc is 6 J, then the total kinetic energy of the ring is:

A body of mass \( 4 \) kg attached to a spring of force constant \( 64 \) N/m executes simple harmonic motion on a frictionless horizontal surface. The time period of oscillation is:

A particle is executing simple harmonic motion with amplitude \( A \). At a distance \( x \) from the mean position, when the particle is moving towards the extreme position, it receives a blow in the direction of motion that instantaneously doubles its velocity. The new amplitude of the particle is:

A mass of \( 6 \times 10^{24} \) kg is to be compressed in the form of a solid sphere such that the escape velocity from its surface is \( 3 \times 10^5 \) m/s. The radius of the sphere is:

If the pressure on a body is increased from \( 200 \) kPa to \( 250 \) kPa, the volume of the body decreases by \( 0.25% \). The compressibility of the material of the body (in \( m^2 N^{-1} \)) is:

A mercury drop of radius \( 1 \) cm is divided into \( 10^6 \) droplets of equal size. If the surface tension of mercury is \( 35 \times 10^{-3} \) N/m, then the change in surface energy in the process is:

If the distance travelled by a freely falling body in the last but one second of its motion is 5 m, then the last second is:

The angle of projection of a projectile whose path is shown in the given figure is:

If the equation of motion of a projectile is \( Y = AX - B X^2 \), then the ratio of the maximum height reached and the range of the projectile is:

If a particle is moving along a circle of radius \( r \) with constant speed \( v \), then the magnitude of the change in velocity when the particle moves from \( P \) to \( Q \), where \( PQ \) makes an angle \( \theta \) at the center of the circle is:

If the tension in the horizontal wire shown in the figure is 30 N, then the weight \( W \) and tension in the wire \( OA \) are respectively:

A car of mass \( 2000 \) kg is accelerating from rest. If its engine is supplying constant power of \( 10 \) kW, then the velocity of the car at a time of \( 10 \) s is:

A body of mass \( M \) is moving with a uniform speed \( v \) on a frictionless horizontal surface under the influence of two forces \( F_1 \) and \( F_2 \) as shown in the figure. The net power of the system is:

Find the area (in square units) of the region bounded by the lines \( x=0 \), \( x=\frac{\pi}{2} \), and the curves \( f(x) = \sin x \), \( g(x) = \cos x \):

Evaluate the integral: \[ I = \int_{\pi/6}^{\pi/3} \cos^{-4} x \, dx \]

Evaluate the integral: \[ I = \int_0^{3\pi/2} \frac{\cos^5 x}{\cos^3 x+\sin^3 x}dx \]

The general solution of the differential equation \( \sec(x - y + 1) dy = dx \) is:

The differential equation for which \( y^2 = 4a(x + a) \) (where \( a \) is a parameter) is the general solution is:

The general solution of the differential equation \[ \frac{dy}{dx} = \frac{2xy-4x+y-2}{2xy+x-4y-2} \] is:

Of the following, the pair of physical quantities not having the same dimensional formula is:

If the lengths of the tangent, subtangent, normal, and subnormal for the curve \( y = x^2 + x - 1 \) at the point \( (1,1) \) are \( a, b, c, \) and \( d \) respectively, then their increasing order is: