Mass: Mass is a measure of the amount of matter in an object. It is a scalar quantity and is typically measured in kilograms (kg) or grams (g). Mass does not change regardless of the object's location in the universe.
Weight: Weight is the force exerted by gravity on an object. It is a vector quantity and depends on both the mass of the object and the gravitational acceleration. The formula for weight is: \[ \text{Weight} = \text{Mass} \times \text{Gravitational acceleration} \] Weight varies depending on the location of the object (for example, on Earth, weight is measured in newtons, while it would be less on the Moon). - Mass is an intrinsic property of matter, meaning it remains constant regardless of the object's location. - Weight depends on the local gravitational field. For instance, an object weighs less on the Moon due to weaker gravity than it does on Earth.
Net gravitational force at the center of a square is found to be \( F_1 \) when four particles having masses \( M, 2M, 3M \) and \( 4M \) are placed at the four corners of the square as shown in figure, and it is \( F_2 \) when the positions of \( 3M \) and \( 4M \) are interchanged. The ratio \( \dfrac{F_1}{F_2} = \dfrac{\alpha}{\sqrt{5}} \). The value of \( \alpha \) is 

In the following figure \(\triangle\) ABC, B-D-C and BD = 7, BC = 20, then find \(\frac{A(\triangle ABD)}{A(\triangle ABC)}\). 
The radius of a circle with centre 'P' is 10 cm. If chord AB of the circle subtends a right angle at P, find area of minor sector by using the following activity. (\(\pi = 3.14\)) 
Activity :
r = 10 cm, \(\theta\) = 90\(^\circ\), \(\pi\) = 3.14.
A(P-AXB) = \(\frac{\theta}{360} \times \boxed{\phantom{\pi r^2}}\) = \(\frac{\boxed{\phantom{90}}}{360} \times 3.14 \times 10^2\) = \(\frac{1}{4} \times \boxed{\phantom{314}}\) <br>
A(P-AXB) = \(\boxed{\phantom{78.5}}\) sq. cm.