AIPMT 2010 Mains

A particle moves in x-y plane according to rule x = asin\(\omega\)t and y = acos\(\omega\)t. The particle follows

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

A particle having a mass of 10\(-\)2 kg carries a charge of 5 \(\times\) 10\(-\)8 C. The particle is given an initial horizontal velocity of 105 m s\(-\)1 in the presence of electric field \(\overrightarrow E\) and magnetic field $$\over...

A closely wound solenoid of 2000 turns and area of cross-section 1.5 \(\times\) 10\(-\)4 m2 carries a current of 2.0 A. It is suspended through its centre and perpendicular to its length, allowing it to turn in a horizontal plane in a uni...

A current loop consists of two identical semicircular parts each of radius R, one lying in the x-y plane and the other in x-z plane. If the current in the loop is \(i\). The resultant magnetic field due to the two semicircular parts at the...

A thin circular ring of mass M and radius r is rotating about its axis with constant angular velocity \(\omega\). Two objects each of msass m are attached gently to the opposite ends of a diameter of the ring. The ring now rotates with ang...

From a circular disc of radius R and mass 9M, a small disc of mass M and radius \({R \over 3}\) is removed concentrically. The moment of inertia of the remaining disc about an axis perpendicular to the plane of the disc and passing through ...

A solid cylinder and a hollow cylinder, both of the same mass and same external diameter are released from the same height at the same time on an inclined plane. Both roll down without slipping. Which one will reach the bottom first?

The following figure shows a logic gate circuit with two inputs A and B and the output Y. The voltage waveforms of A, B and Y are as given.

The logic gate is

For transistor action
(1)  Base, emitter and collector regions should have similar size and doping concentrations.
(2)  The base region must be vety thin and lightly doped.
(3)  The emitter-base junction is forward biased and base-collecto...

A student measures the distance traversed in free fall of a body, initially at rest, in a given time. He uses this data to estimate g, the acceleration due to gravity. If the maximum percentage errors in measurement of the distance and the ...

A particle of mass M, starting from rest, undergoes uniform acceleration. If the speed acquired in time T is V, the power delivered to the particle is