List of top Questions asked in AP ECET Chemical Engg

During the melting of a slab of ice at \(273K\) at atmospheric pressure

A siren emitting sound of frequency \(800\,Hz\) is going away from a static listener with a speed of \(30\,m/s\). Frequency of sound heard by the listener is \((\text{velocity of sound in air}=340\,m/s)\)

The beats are produced by two sound sources of same amplitude and of nearly equal frequencies. The maximum intensity of beats will be_____when compared to that of one source is.

The displacement of a particle executing SHM is \[ x=3\sin2t+4\cos2t. \] The amplitude of particle is

The amplitude of a simple harmonic oscillator is \(A\). When the velocity of particle is half of its maximum velocity, then its position is at

If a seconds pendulum on the earth is taken to a planet whose gravity is half of the gravity on earth, its time period on that planet is

An engine delivers \(1000\) watt of power with \(80%\) efficiency. The input power is

At her maximum height a girl in a swing is \(3m\) above the ground and at the lowest point she is \(2m\) above the ground. Her maximum velocity is

A body of mass \(2\) kg changes its velocity from \((3\hat i-4\hat j)\,m/s\) to \((6\hat j+2\hat k)\,m/s\). What is the change in kinetic energy of the body?

The time taken by a body to slide down the smooth inclined plane is \(4\) sec. The time taken by a body to slide \(1/4^{th}\) of the length of the plane is

A block of mass \(m\) is lying on an inclined plane. The coefficient of friction between the plane and the block is \(\mu\). The force required to move the block up the inclined plane will be

A juggler throws ball into air. He throws one whenever the previous one is at its highest point. How high do the balls rise if he throws \(n\) balls each second?

A body starts from rest and travels with uniform acceleration. If the distance covered in first \(2\) seconds is \(x\) and next \(2\) seconds is \(y\), then

If a body released from the top of a tower of height \(H\) meter takes \(T\) seconds to reach the ground, where is the body at time \(T/2\) seconds from the ground?

If a pebble is thrown vertically upwards from the top of a tower with velocity \(5\,m/s\), it strikes the ground after \(3\) seconds. With what velocity the pebble strikes the ground? \((g=10\,m/s^2)\)

The area of rectangle with sides as \(\vec A=3\hat i+4\hat j\) and \(\vec B=\hat i+3\hat j\) is

If \(\vec A+\vec B=\vec C\) and \(A^2+B^2=C^2\), then the angle between vectors \(\vec A\) and \(\vec B\) is

Which pair of physical quantities have same dimensional formula?

If we choose velocity \(V\), length \(L\) and force \(F\) as fundamental physical quantities, then how would you express power in terms of \(V\), \(L\) and \(F\)?

The particular integral of \[ \frac{d^2y}{dx^2}+3\frac{dy}{dx}+2y=e^{-2x} \] is

The solution of the differential equation \[ \frac{d^3y}{dx^3}+3\frac{d^2y}{dx^2}+2\frac{dy}{dx}=0 \] is

The solution of the differential equation \[ \frac{dy}{dx}+\frac{y}{x}=x^2 \] under the condition \(y(1)=1\) is

The solution of the differential equation \[ \frac{dy}{dx}=1+y^2 \] is

The differential equation \[ \frac{dy}{dx}=-\left(\frac{x+y}{1+x^2}\right) \] is

The order of the differential equation whose general solution is \[ y=a\sin x+b\cos x \] where \(a\) and \(b\) are arbitrary constants, is