NEET 2016 Question Paper - Phase-I Code B Q X - Mock Test

If the velocity of a particle is $v=At+B{t}^2$, where $A$ and $B$ are constants, then the distance travelled by it between $1\text{s}$ and $2\text{s}$ is:

A disk and a sphere of same radius but different masses roll off on two inclined planes of the same altitude and length. Which one of the two objects gets to the bottom of the plane first?

Two identical charged spheres suspended from a common point by two massless strings of lengths $l$, are initially at a distance $d(d\ll l)$ apart because of their mutual repulsion. The charges begin to leak from both the spheres at a constant rate. As a result, the spheres approach each other with a velocity $v$. Then $v$ varies as a function of the distance $x$ between the spheres, as:

A particle moves so that its position vector is given by $\vec{r}=\cos \omega t\hat{x}+\sin \omega t\hat{y}$ where $\omega$ is a constant. Which of the following is true?

A piece of ice falls from a height $h$ so that it melts completely. Only one-quarter of the heat produced is absorbed by the ice and all energy of ice gets converted into heat during its fall. The value of $h$ is: [Latent heat of ice is $3.4\times 10^5\text{J/kg}$ and $g=10\text{N/kg}$ ]