AP EAPCET 2022 - 5th July Morning Shift

A particle is executing simple harmonic motion with an instantaneous displacement \(x=A \sin ^2\left(\omega t-\frac{\pi}{4}\right)\). The time period of oscillation of the particle is

If the amplitude of a lightly damped oscillator decreases by \(1.5 \%\) then the mechanical energy of the oscillator lost in each cycle is

The energy of \(E\) of a system is function of time \(t\) and is given by \(E(t)=\alpha t-\beta t^3\), where \(\alpha\) and \(\beta\) are constants. The dimensions of \(\alpha\) and \(\beta\) are

If two vectors \(\mathbf{A}\) and \(\mathbf{B}\) are mutually perpendicular, then the component of \(\mathbf{A}-\mathbf{B}\) along the direction of \(\mathbf{A}+\mathbf{B}\) is

The component of a vector \(\mathbf{P}=3 \hat{i}+4 \hat{j}\) along the direction \((\hat{i}+2 \hat{j})\) is

Young's double slit experiment is conducted with monochromatic light of wavelength 5000\(\mathop A\limits^o\), with slit separation of 3 mm and observer at 20 cm away from the slits. If a 1 mm transparent plate is placed infront of one of ...

In Young's double slit experiment the slits are 3 mm apart and are illuminated by light of two wavelengths \(3750 \mathop A\limits^o\) and \(7500 \mathop A\limits^o\). The screen is placed at 4 m from the slits. The minimum distance from th...

Two cars are moving towards each other at the speed of \(50 \mathrm{~ms}^{-1}\). If one of the cars blows a horn at a frequency of 250 Hz , the wave length of the sound perceived by the driver of the other car is
(Speed of sound in air $$=3...

A block of mass 50 kg is pulled with a constant speed of \(4 \mathrm{~ms}^{-1}\) across a horizontal floor by an applied force of 500 N directed \(30^{\circ}\) above the horizontal. The rate at which the force does work on the block in watt...

A small disc of mass \(m\) slides down with initial velocity zero from the top \((A)\) of a smooth hill of height \(H\) having a horizontal portion \((BC)\) as shown in the figure. If the height of the horizontal portion of the hill is $$h$...