A nucleus is at rest in the laboratory frame of reference Show that if it distintegrates into two smaller nuclei the products must be emitted in opposite directions .

Assertion: Stationary waves are so called because particles are at rest in stationary waves. Reason: They are formed by the superposition of two identical waves travelling in opposite directions.

A diatomic molecule two identicla atoms of mass m bound together a distance l apart is confined in a lab reference frame. At a certain time one of the two atoms is observed to have speed v_(0) and the other, moving in the opposite direction, speed v_(0)//3 .

A nucleus A, With a finite de-broglie wavelength lambda_(A) , undergoes spontaneous fission into two nuclei B and C of equal mass. B flies in the same direction as that of A, While C flies in the opposite direction with a velocity equal to half of that of B . The de-Broglie wavelength lambda_(B) and lambda_(B) and C are respectively:

A particular type of nucleus whose decay constant is lambda is produced at a steady rate of p nuclei per second. Show that the number of nuclei N present t second after the production starts is N=(P)/(lambda)[1-e^(~lambdat)] .

Pseudo force is an imaginary force which is recognised only by a non-inertial observer to explain the physical situation according to newton’s laws. Magnitude of pseudo force Fp is equal to the product of the mass m of the object and the acceleration a of the frame of reference. The direction of the force is opposite to the direction of acceleration, F_(p)=-ma spring weighing machine inside a stationary lift reads 50 kg when a man stand on it. What would happen to the scale reading if the lift is moving upward with (i) constant velocity (ii) constant acceleratioin

Two satellites A and B of equal mass move in the equatorial plane of the earth, close to earth's surface. Satellite A moves in the same direction as the of the rotation of the earth while satellite B moves in the opposite direction. Calclate the ratio of the kinetic energy of B of that of A in the reference frame fixed to the earth (g=9.8ms^(-2) and radius of the earth =6.37xx10^(6)km)