Physics Test - ...

A small object of uniform density rolls up a curved surface with an initial velocity \({v}^{\prime} .\) It reaches up to a maximum height of \(\frac{3 {v}^{2}}{4 {~g}}\) with respect to the initial position. The object is

A particle moves for \(20\) seconds with velocity \(3\) m/s, then moves with velocity \(4\) m/s for another \(20\) seconds, and finally moves with velocity \(5\) m/s for the next \(20\) seconds. What is the average velocity of the particle?

Two spherical bodies of mass M and 5M and radii R and 2R respectively are released in free space with initial separation between their centers equal to 12R. If they attract each other due to gravitational force only, then the distance covered by the smaller body just before collision is:

Which of the following is a true representation of the Work-Energy theorem for a variable force?

A metal ball immersed in alcohol weighs W₁ at 0^oC and W₂ at 59^oC. The coefficient of cubical expansion of the metal is less than that of alcohol. If the density of the metal is large compared to that of alcohol, then

A conical pendulum of length \(1 \mathrm{~m}\) makes an angle \(\theta=45^{\circ}\) w.r.t. Z-axis and moves in a circle in the \(\mathrm{XY}\) plane. The radius of the circle is \(0.4 \mathrm{~m}\) and its center is vertically below \(\mathrm{O}\). The speed of the pendulum, in its circular path, will be: (Take \(g =10 \mathrm{~ms}^{-2}\))

The kinetic energy of a body increases from 50 J to 150 J in 10 s. Then the power of the body is:

Two bodies are charged by rubbing one against the other.During the process, one becomes positively charged while theother becomes negatively charged. Thenmass of each body:

Relative permittivity and permeability of a material are \(\epsilon_{\mathrm{r}}\) and \(\mu_{\mathrm{r}}\), respectively. Which of the following values of these quantifies are allowed for a diamagnetic material?

Accuracy of measurement is determined by ____________.