Science

Rolling motion is a combination of rotational and translation motion where an object moves forward while spinning around an axis. An example is a rolling wheel. The equation for rolling motion without slipping is:

v represents the linear velocity, r is the radius and w stands for the angular velocity. Rolling motion is more complex than pure rotation as in this case every point on the object follows a curved trajectory whereas in pure rotation, the object only spins around a fixed axis without any change in its position.

Typically, students from non-science backgrounds are not eligible for the Physician Assistant course, as the programme requires a strong foundation in subjects like Biology, Physics, and Chemistry. These subjects form the core of the course's curriculum.

However, some institutions may have specific provisions for students with alternative qualifications or preparatory programs, so it is advisable to check the eligibility criteria of each institution.

Moment of Inertia (I) is the rotational equivalent of mass and it is used to measure an object's resistance to changes in its rotational motion. I is based on the mass of the object and how it is distributed relative to the axis of rotation. The formula to measure the moment of inertia is - 

m stands for mass and r for the perpendicular distance from the axis. Similar to how mass plays a crucial role in linear motion, moment of inertia plays a significant role in rotational motion. The objects with higher I require more torque to achieve the same angular acceleration.

Translational motion is when every part of an object moves at the same speed and uniformly in the same direction, like a car moving along a straight road. Rotational motion refers to an object rotating around a fixed axis, eg- a spinning wheel. One of the main difference is that in translation motion, all points on the object have the same velocity and in rotational motion, velocity changes based on the distance from the axis of rotation. Various real-life motions combine both rotational and translation motion.

No, Mathematics subjects are not compulsory for admission to the BA in Economics (Hons.) course at Quantum Univeristy. The eligibility requirements that are necessary for a BA in Economics (Hons.) course is candidates must complete their Class 12 from any recognised board of Education from any stream and with a minimum aggregate of 50%. Additionally, the university takes admissions on the basis of candidates' achieved scores in their Class 12. 

The centre of mass (COM) of a system refers to the point that represents the average position where the entire mass of the system is considered to be concentrated. The concept helps in analyzing the motion of a system of particles. Following is the formula to determine the COM of two or more particles:

In this formula,  m1, and m2 stand for masses and r1, r2 are their respective positions. COM motion follows Newton's law which says that if no external force acts on a system, COM moves with uniform velocity.

Students can download the NCERT Solutions PDF for Class 12 Physics Chapter 11 Dual Nature of Radiation and Matter from reliable educational platforms. However, candidates can also visit the homepage of Shiksha and click on the “NCERT Chemistry Class 12th Solution PDF - Dual Nature of Radiation and Matter Chapter Download” to donwload the PDF. These NCERT PDF Solutions are helpful to prepare without an internet connection. The Class 12 Physics NCERT Solutions consists of detailed explanations, formulas, and solved examples to help students prepare effectively.

NCERT Solutions for Class 12 Ch 11 Dual Nature of Radiation and Matter includes step-by-step explanations of numerical problems, theoretical concepts and derivations. 

These  Class 12 Ch 11 Dual Nature of Radiation and Matter NCERT Solutions help students not only to clear thier doubts but also useful to practice problem-solving, and to understand important topic and concepts that are frequently asked in CBSE board exams and competitive exams. Practicing with Class 12 Physics NCERT solutions PDFs improve conceptual clarity and boosts student's confidence for exams.