Basic Science T...

A body is projected with velocity 'u' so that the maximum height is thrice the horizontal range. Then the maximum height is

A body projected with velocity $$30\,ms^{-1}$$ reaches its maximum height in $$1.5\,s.$$ Its range is

A body of 10 Kg is suspended by a rope and is pulled to a side by means of a horizontal force so that th rope makes an angle of $$60^{\circ}$$ with the vertical. The tension in the rope is 

An objective move along $$x-$$axis such that its position varying with time $$t$$ is given as $$x=4t-t^2 $$ ($$4x$$ is in metre and time $$t$$ in second). The distance travelled by the object from $$t=0$$ to $$t=3\ s$$ is

A wheel whose moment of inertia is $$12\ kg\ m^{2}$$ has an initial angular velocity of $$40\ rad/s$$. A constant torque of $$20\ Nm$$ acts on the wheel. The time in which the wheel is accelerated to $$100\ rad/s$$ is

For a particle moving along a straight line, its position $$x$$ is given by $$x = 2e^{-2t}$$, where $$t$$ is time. Relation between its velocity $$'v'$$ and acceleration $$'a'$$ is given by

Two charges of $$1.0\ C$$ each are placed one meter apart in free space. The force between them will be

Two men of masses $$m$$ and $$m/2$$ starts climbing up on two massless strings fixed at the ceiling with acceleration $$g$$ and $$g/2$$ respectively. The ratio of tensions in the two straight will be

Two bodies are thrown with the same initial velocity of $$30\ m/s$$. One at $$17^{\circ}$$, other at $$73^{\circ}$$ to the horizontal. The sum of the maximum heights reached by them is

What is the angle between $$\vec{i} +\vec{j}$$ and $$\vec{i}$$?