An object is placed far away from all theobjects that can exert force on it. A frame of reference is constructed by taking the origin and axes fixed in this object. Will the fraame be necessarily inertial?

A body is uniformly rotating bout an axis fixed in an inertial frame of reference. Let vecA be a unit vector along the axis of rotation and vecB be the unit vector along the resultant force on a particle P of te ody away from the axis. The value of vecA.vecB is

Einstein in 1905 proppunded the special theory of relativity and in 1915 proposed the general theory of relativity. The special theory deals with inertial frames of reference. The general theory of relativity deals with problems in which one frame of reference. He assumed that fixed frame is accelerated w.r.t. another frame of reference of reference cannot be located. Postulated of special theory of realtivity ● The laws of physics have the same form in all inertial systems. ● The velocity light in empty space is a unicersal constant the same for all observers. ● Einstein proved the following facts based on his theory of special relativity. Let v be the velocity of the speceship w.r.t a given frame of reference. The obserations are made by an observer in that reference frame. ● All clocks on the spaceship wil go slow by a factor sqrt(1-v^(2)//c^(2)) ● All objects on the spaceship will have contracted in length by a factor sqrt(1-v^(2)//c^(2)) ● The mass of the spaceship increases by a factor sqrt(1-v^(2)//c^(2)) ● Mass and energy are interconvertable E = mc^(2) The speed of a meterial object can never exceed the velocity of light. ● If two objects A and B are moving with velocity u and v w.r.t each other along the x -axis, the relative velocity of A w.r.t. B = (u-v)/(1-uv//v^(2)) A stationary body explodes into two fragments each of rest mass 1 kg that move apart at speed of 0.6c relative to the original body. The rest mass of the original body is -

Einstein in 1905 proppunded the special theory of relativity and in 1915 proposed the general theory of relativity. The special theory deals with inertial frames of reference. The general theory of relativity deals with problems in which one frame of reference. He assumed that fixed frame is accelerated w.r.t. another frame of reference of reference cannot be located. Postulated of special theory of realtivity ● The laws of physics have the same form in all inertial systems. ● The velocity light in empty space is a unicersal constant the same for all observers. ● Einstein proved the following facts based on his theory of special relativity. Let v be the velocity of the speceship w.r.t a given frame of reference. The obserations are made by an observer in that reference frame. ● All clocks on the spaceship wil go slow by a factor sqrt(1-v^(2)//c^(2)) ● All objects on the spaceship will have contracted in length by a factor sqrt(1-v^(2)//c^(2)) ● The mass of the spaceship increases by a factor sqrt(1-v^(2)//c^(2)) ● Mass and energy are interconvertable E = mc^(2) The speed of a meterial object can never exceed the velocity of light. ● If two objects A and B are moving with velocity u and v w.r.t each other along the x -axis, the relative velocity of A w.r.t. B = (u-v)/(1-uv//v^(2)) The momentum of an electron moving with a speed 0.6 c (Rest mass of electron is 9.1 xx 10^(-31 kg )

Einstein in 1905 proppunded the special theory of relativity and in 1915 proposed the general theory of relativity. The special theory deals with inertial frames of reference. The general theory of relativity deals with problems in which one frame of reference. He assumed that fixed frame is accelerated w.r.t. another frame of reference of reference cannot be located. Postulated of special theory of realtivity ● The laws of physics have the same form in all inertial systems. ● The velocity light in empty space is a unicersal constant the same for all observers. ● Einstein proved the following facts based on his theory of special relativity. Let v be the velocity of the speceship w.r.t a given frame of reference. The obserations are made by an observer in that reference frame. ● All clocks on the spaceship wil go slow by a factor sqrt(1-v^(2)//c^(2)) ● All objects on the spaceship will have contracted in length by a factor sqrt(1-v^(2)//c^(2)) ● The mass of the spaceship increases by a factor sqrt(1-v^(2)//c^(2)) ● Mass and energy are interconvertable E = mc^(2) The speed of a meterial object can never exceed the velocity of light. ● If two objects A and B are moving with velocity u and v w.r.t each other along the x -axis, the relative velocity of A w.r.t. B = (u-v)/(1-uv//v^(2)) One cosmic ray particle appraches the earth along its axis with a velocity of 0.9c towards the north the and another one with a velocity of 0.5c towards the south pole. The relative speed of approcach of one particle w.r.t. another is-

Construction of a compound microscope: (1) A compound microscope consists of a metal tube fitted with two convex lenses at the two ends. These lenses are called the objective lens (the lens directed towards the object0 and the eyepiece (the lens directed towards the eye) . Both the lenses are small in size , but the cross section of the objective lens is less than that of the eyepiece. The objective lens has a short focal length . The focal length of the eyepiece is more than that of the objective lens. (2) The metal tube is mounted on a stand . The principal axes of the objective lens and the eyepiece are along the same line.The distance between the object and the objective lens can be changed with a screw. use : This microscope is used to observe blood cells, microorganism , etc. Where do you place the object to be observed With a compound microscope?

Read the paragraph and answer the questions given below it: Construction of a compound microscope : (1) A compound microscope consists of a metal tube fitted with two convex lenses at the two ends. These lenses are called the objective lens (the lens directed towards the object) and the eyepiece (the lens directed toward the eye). Both thhe lenses are small in size, but the cross section of the objective lens is less than that of the eyepiece. The objective lens has a short focal length. The focal length of the eyepiece is more than that of the objective lens. (2) The metal tube is mounted on a stand. The principle axes of the objective lens and the eyepiece are along the same line. The distance between the object and the objective lens can be changed with a screw. It is possible to change the distance between the objective lens and the eyepiece. Working : (1) The object to be observed is illuminated and placed in front of the objective lens, slightly beyond the focal length of hte objective lens. Its real, invertes and enlarged image is formed by the objective lens on the other side. (2) This intermediate image lies within the focal length of the eyepiece. It serves as an object for the oyepiece. The oyepiece works as a simple micrroscope. The final image is virtual, highly enlarged and inverted with respect to the original object. It can be formed at the minimum distance of distinict vision from the eyepiece. The final image is observed by keeping the oye close to the eyepice. Use: This microscope is uded to observe blood cells, microorganisms, sec. Where fo you place the object to be observed with a compound microscope ?

The kinetic energy of any body depends on the frame of reference of the observer. The kinetic energy is given by 1//2 mv_("rel")^(2) . Similarly the displacement of the object from different frames of reference will be: different. But the forces acting on the body remain unchanged. So work done by the forces as seen from: different frames will be different. But work energy! theorem will still be hold in every inertial reference' frame. For example, if a block of mass 2kg is moving with, velocity of 1m//s towards east on a rough surface, its KE = (1)/(2) xx 2 xx 1^(2) = 1J If it comes to rest, its KE = 0 work done by friction = K_(f) - k_(i) = -1 J If we observe it form a frame 2 moving with 1m//s toward east, its initial velocity will appear to be 1 - 1 = 0 Initial KE = (1)/(2) xx 2 xx 0^(2) = 0 Final velocity = 0 -1 = -1 Final KE = (1)/(2) xx 2 xx (-1)^(2) = 1J rArr Work done by friction = 1 - 0 = 1J What should be the velocity of an observer so that he will report the work done by friction on the block to be 0:

The kinetic energy of any body depends on the frame of reference of the observer. The kinetic energy is given by 1//2 mv_("rel")^(2) . Similarly the displacement of the object from different frames of reference will be: different. But the forces acting on the body remain unchanged. So work done by the forces as seen from: different frames will be different. But work energy! theorem will still be hold in every inertial reference' frame. For example, if a block of mass 2kg is moving with, velocity of 1m//s towards east on a rough surface, its KE = (1)/(2) xx 2 xx 1^(2) = 1J If it comes to rest, its KE = 0 work done by friction = K_(f) - k_(i) = -1 J If we observe it form a frame 2 moving with 1m//s toward east, its initial velocity will appear to be 1 - 1 = 0 Initial KE = (1)/(2) xx 2 xx 0^(2) = 0 Final velocity = 0 -1 = -1 Final KE = (1)/(2) xx 2 xx (-1)^(2) = 1J rArr Work done by friction = 1 - 0 = 1J Choose correct statement :

The kinetic energy of any body depends on the frame of reference of the observer. The kinetic energy is given by 1//2 mv_("rel")^(2) . Similarly the displacement of the object from different frames of reference will be: different. But the forces acting on the body remain unchanged. So work done by the forces as seen from: different frames will be different. But work energy! theorem will still be hold in every inertial reference' frame. For example, if a block of mass 2kg is moving with, velocity of 1m//s towards east on a rough surface, its KE = (1)/(2) xx 2 xx 1^(2) = 1J If it comes to rest, its KE = 0 work done by friction = K_(f) - k_(i) = -1 J If we observe it form a frame 2 moving with 1m//s toward east, its initial velocity will appear to be 1 - 1 = 0 Initial KE = (1)/(2) xx 2 xx 0^(2) = 0 Final velocity = 0 -1 = -1 Final KE = (1)/(2) xx 2 xx (-1)^(2) = 1J rArr Work done by friction = 1 - 0 = 1J According to passage:

Read the paragraph and answer the questions given below it: Construction of a compound microscope : (1) A compound microscope consists of a metal tube fitted with two convex lenses at the two ends. These lenses are called the objective lens (the lens directed towards the object) and the eyepiece (the lens directed toward the eye). Both thhe lenses are small in size, but the cross section of the objective lens is less than that of the eyepiece. The objective lens has a short focal length. The focal length of the eyepiece is more than that of the objective lens. (2) The metal tube is mounted on a stand. The principle axes of the objective lens and the eyepiece are along the same line. The distance between the object and the objective lens can be changed with a screw. It is possible to change the distance between the objective lens and the eyepiece. Working : (1) The object to be observed is illuminated and placed in front of the objective lens, slightly beyond the focal length of hte objective lens. Its real, invertes and enlarged image is formed by the objective lens on the other side. (2) This intermediate image lies within the focal length of the eyepiece. It serves as an object for the oyepiece. The oyepiece works as a simple micrroscope. The final image is virtual, highly enlarged and inverted with respect to the original object. It can be formed at the minimum distance of distinict vision from the eyepiece. The final image is observed by keeping the oye close to the eyepice. Use: This microscope is uded to observe blood cells, microorganisms, sec. State the nature of the final image in a compound microscope relative to the object.