An `alpha` - [article moving with velocity `(1)/(30)` th times of velocity of light. If unceratinty in position is `(3.31)/(pi)` pm, then minmum unceratinty in kinetic energy is `yxx10^(-16)` J. Calculate the value of y.

Velocity of light in a liquid is 1.5 xx 10^8 ms^(-1) and in air,it is 3xx10^8 m s^(-1) .If a ray of light passes from this liquid to air ,calculate the value of critical angle.

The kinetic energy of an object of mass 'm' moving with a velocity of 5ms^-1 is 25 J. What will be its kinetic energy when its velocity is doubled ? What will be its kinetic energy when its velocity is increased to three times.

A test charge of 1.6 xx 10^-19 C is moving with velocity v = (2hati+3hatj) m/sec in magnetic field vec B = (2hati + 3hatj) Wb m^-2 . Find the force acting on the test charge.

Two long parallel wires carrying current 2.5 amperes and I ampere in the same Idirection ( directed into the plane of the paper) are held at P and Q respectively such that they are perpendicular to the plane of paper. The points P and Q are located at a distance of 5 metres and 2 metres respectively from a collinear point R ( see figure) An electron moving with a velocity of 4xx10^(5) m//s along the positive x- direction experiences a force of magnitude 3.2xx10^(-20) N at the point R. Find the value of I.

An electron is moving northwards with a velocity of 10^(7)ms^(-1) in a magnetic field of 3 T,directed downwards.Calculate the instantaneous force on the electron. Given that charge on electron = 1.6 xx 10^-19C

A ray o light is incident on the surface of separation of a medium with the velocity of igth at an angle 45^@ and is refracted in the medium at an angle 30^@ .Velocty of light in the medium will be:(Veloctiy of light= 3xx10^8 m s^(-1) ).

The oxygen molecule has a mass of 5.30 xx 10^-26 kg and a moment of inertia of 1.94xx10^-46 kg m^2 about an axis through its centre perpendicular to the lines joining the two atoms. Suppose the mean speed of such a molecule in a gas is 500 m//s and that its kinetic energy of rotation is two thirds of its kinetic energy of translation. Find the average angular velocity of the molecule.

A square loop of side 12 cm with its sides parallel to X and Y axes is moved with a velocity of 8 cm s^-1 in the positive x-direction in an environment containing a magnetic field in the positive z-direction. The field is neither uniform in space nor constant in time. It has a gradient of 10^-3T cm^-1 along the negative x-direction (that is it increases by 10^-3T cm^-1 as one moves in the negative x-direction), and it is decreasing in time at the rate of 10^-3T cm^-1 . Determine the direction and magnitude of the induced current in the loop if its resistance is 4.50 mOmega .