Basic Science T...

If $$a_1 $$ and $$a_2$$ are two non collinear unit vector unit and if $$|a_1 +a_2| =\sqrt 3$$, then the value of $$(a_1-a_2), (2a_1 +a_2)$$ is 

The velocity at the maximum height of a projectile is half of its initial velocity of projection. The angle of projection is

The relation between the time  of flight a projectile $$ T_{f} $$ and the time to reach the maximum height  $$ t_{m} $$ is

The displacement x and time t for  a particle are related to each other as $$ t  = \sqrt{x} + 3 $$ . What is work done in first six seconds of its motion ?

An electric motor uses 2 amperes of current when connected to a 12 volt battery to raise a 20 newton object vertically at constant  velocity . If the energy conversion was 100 % efficient , the object be raised at a speed of 

If the force applied is F and the velocity galance is v , then the average power developed is :-

Two object A and B are moving with velocities $$ v_{A}  and v_{B} $$ respectively a,long positive x  - axis If $$ v_{A} < v_{B} $$ which of the following position time graph correctly showing the velocity of A and B ?

A uniform thin bar of mass length 12 L is bent to make a regular hexagonal . Its moment of lines about an axis passing through the centre of mass and perpendicular to the plane of the hexagonal is - 

If change in displacement is proportional to time in the class of 1 -  dimensional motin

Three blocks of mass 2 kg. 3 kg andd 5kg are concted to each other with light strings and are then placed on a smooth frictional surface. The system i pulled with a force F from the side of the lighter mas so that it moves with an acceleration lighter mass so that it moves with an acceleration of $$1 ms ^{-2}$$ T_{1}$$, nd $$T_{2}$$ denote the tensions in the other strings The value of F is :