Question Discussion & Solution

The correct answer is Baran.

Key Points

• Shergarh Sanctuary:
  • It is located in Baran district, near Shergarh town. 
  • It was declared as a protected area in 1983.
  • This sanctuary is home to tiger, leopard, wild boar, sloth bear, chital, python, and other animals.

Additional Information

• Other Wildlife sanctuaries in Rajasthan:

Total number of boxes of matchsticks = 3600

Total number of cartons = 10

Let the number of packets in one carton be x.

⇒ Number of packets in 10 cartons = 10x.

Number of boxes of matchstick in a packet = 30

⇒ Number of boxes of matchstick in 10x packets = 30(10x) = 300x

So, we have:

Total number of boxes = Number of boxes of matchstick in 10x packets

⇒ 300x = 3600

⇒ x = 12

The correct answer is Input.

• Devices that enter information into the computer and communicate with it are called Input devices.

Key Points

• An input device is a peripheral (piece of computer hardware equipment) used to provide data and control signals to an information processing system such as a computer or other information appliance.
• The Central Processing Unit (CPU) of a computer receives the input and processes it to produce the output.

Additional Information

• Examples of input devices include
  • Keyboards, mouse, scanners, digital cameras, joysticks, Microphone, TouchPad, Webcam, remote, biometric devices, etc.
• Keyboard is a basic input device that is used to enter data into a computer or any other electronic device by pressing keys.
• Mouse is a hand-held input device that is used to move cursor or pointer across the screen. 
• Scanner uses the pictures and pages of text as input. 

CONCEPT:

Equilibrium of a rigid body:

• A rigid body is said to be in mechanical equilibrium if both its linear momentum and angular momentum are not changing with time, or equivalently, the body has neither linear acceleration nor angular acceleration.
• Condition for the mechanical equilibrium:
  1. The total force, i.e. the vector sum of the forces, on the rigid body is zero.
  2. The total torque, i.e. the vector sum of the torques on the rigid body is zero.

⇒ \(\rm\vec{F_1}+\vec{F_2}+...+\vec{F_n}=0\)

⇒ \(\rm \vec{τ_1}+\vec{τ_2}+...+\vec{τ_n}=0\)

• If the forces on a rigid body are acting in the 3 dimensions, then six independent conditions to be satisfied for the mechanical equilibrium of a rigid body.
• If all the forces acting on the body are coplanar, then we need only three conditions to be satisfied for mechanical equilibrium.
• A body may be in partial equilibrium, i.e., it may be in translational equilibrium and not in rotational equilibrium, or it may be in rotational equilibrium and not in translational equilibrium.

EXPLANATION:

• A rigid body is said to be in mechanical equilibrium if both its linear momentum and angular momentum are not changing with time, or equivalently, the body has neither linear acceleration nor angular acceleration.
• We know that the linear acceleration and the angular acceleration of a stationary body are zero.

A book is kept on a table:

• In this case, the book will be stationary so it is an example of the equilibrium of a body.

A ball is moving downward freely under gravity:

• We know that when a ball moves freely under gravity, then only the gravitational force will act on the ball due to which the ball accelerates downward.
• Therefore ball is moving downward freely under gravity is not an example of the equilibrium of a body.
• Hence, option 1 is correct.

The correct answer is Gypsum.

• Gypsum is available in the Nagaur district in a significant amount.

Key Points

• Nagaur is the fifth largest district in Rajasthan.
• Gypsum is composed of calcium sulphate (CaSO₄) and water (H₂O).
• Its chemical name is Calcium Sulphate Dihydrate (CaSO₄. 2H₂O).

Additional Information

• Beryllium is found in the Ajmer and Udaipur mines of Rajasthan.
• Copper is found in the Khetri copper belt in Rajasthan.
• Silver is found in Zawar mines in Udaipur.