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Showing posts with the label Vectors

Compton Scattering

 Q. A photon traveling in the positive x-direction collides with a stationary free electron. The incident photon has a wavelength of 0.0310 nm. Post-collision, the electron moves at an angle 𝛼 below the positive x-axis, and the photon deflects at an angle πœƒ = 66.3° above the positive x-axis. A) Calculate the angle 𝛼 (in degrees). B) Compute the velocity of the electron (in m/s). Solution: 

Questions on Vectors

Important Questions: NOTE: D o notify me in the comment section, i f there is any requirement of solutions.

Operations with Vectors

Vector Addition:   C onsider that a man is walking on a path ABC (from A to B and then from B to C) as shown in the figure. In this case displacement AC vector can be written as the sum of the AB vector and BC vector.                                 AB + BC = AC                    this is known as the  triangle rule   of   vectors.                                     So, in the general case if we have two vectors a and b are positioned so that the initial point of one coincides with the terminal point of the other. Then, vector (a+b) represented by the third side c vector of the triangle, which is the addition of (a+b) vector  or we can say resultant vector of a vector and b vector.                                          a + b = c    If we rotate b vector from Ο€ angle without changing its magnitude then according to figure in triangle ∆ABC'                                            a + (-b) = c'                                            a - b = c'  

Scalars and Vectors

PHYSICAL QUANTITY: SCALAR and VECTOR A  physical quantity  is a property of a material or system that can  be quantified by  measurement. A physical quantity can be expressed as the combination of a magnitude and a  unit. Ex: 5 kg in this ‘5’ is magnitude and ‘kg’ is unit. Physical quantity can be operated in two parts:             (i) Scalar Quantity               (ii) Vector Quantity Scalars: •   A physical quantity which has only magnitude. •  They do not have any direction.   ex: time, mass, speed, distance, volume, energy, work, temperature, electric charge.   Vectors: •  A vector quantity is defined as the physical quantity that has both, magnitude as well as direction. ex: displacement, force, torque, momentum, acceleration, velocity, etc. Representation of Vector: A vector is represented as a directed line segment.                   this vector can be represented as AB δΉ›   or  ā .                 Magnitude of this vecto