AIEEE 2007 PYQ Mock Test

A particle is projected at $60^{\circ }$ to the horizontal with a kinetic energy $K$. The kinetic energy at the highest point is:

In a Young's double slit experiment the intensity at a point where the path difference is $\lambda /6$ ($\lambda$ being the wavelength of the light used) is $I$. If $I_0$ denotes the maximum intensity, $I/I_0$ is equal to:

Two springs, of force constants $k_1$ and $k_2$, are connected to a mass $m$ as shown (in parallel configuration). The frequency of oscillation of the mass is $f$. If both $k_1$ and $k_2$ are made four times their original values, the frequency of oscillation becomes:

When a system is taken from state $i$ to state $f$ along the path $iaf$, it is found that $Q=50\text{cal}$ and $W=20\text{cal}$. Along the path $ibf$, $Q=36\text{cal}$. $W$ along the path $ibf$ is:

A particle of mass $m$ executes simple harmonic motion with amplitude $a$ and frequency $\nu$. The average kinetic energy during its motion from the position of equilibrium to the end (one-quarter cycle) is: