Question Discussion & Solution

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 In 1982.

• The National Bank for Agriculture and Rural Development (NABARD) is a top-level development financial institution in India, established in 1982 to provide agricultural and rural credit.

Key Points

• National Bank for Agriculture and Rural Development (NABARD) is the apex institution of Rural Credit.
• It was established on 12 July 1982 by the merger of Agriculture Credit Department and reconstruction of Agriculture and Development Corporation of the Reserve Bank of India.
• Its establishment is based on the recommendations of Shivraman Committee.
• Food stocks are maintained by the Central Government for three purposes:
  • Maintaining prescribed buffer stock norms for food security,
  • Monthly supply through Public Distribution System (PDS),
  • Market intervention to stabilise open market prices.

The correct answer is Canada.

Key Points

• The federal government system of India has been taken from the Canadian Constitution.

Additional Information

• Only the Parliament has the power to make laws on the subjects of the Union List.
• Article 245 to 255 of the Constitution discusses the Centre-State legislative relations in Part-XI.
• In the Constitution of India, three types of lists are present in the Seventh Schedule as the legislative powers between the Center and the States.
• The 'Union List' mentions important subjects, which include defence, communication, foreign policy, etc., and where only the laws of the Center are effective.

The correct answer is Tecomella Stenosis.

• Tecomella Stenosis is the scientific name of the state flower-Rohira of Rajasthan.

Key Points

• Rohira is the state flower of Rajasthan.
• Its scientific name is Tecomella Stenosis.
• The flower is mainly found in desert and barren areas of the Thar Desert, Rajasthan.

Additional Information

• Lilium is the scientific name of lily flower.
• Helianthus is the scientific name of sunflower.
• Psidium Guajava is the scientific name of Guava.

The logic followed is:

The statement talks about the company X which has decided to increase the price of its car by 10%.

conclusion I and conclusion II may or may not follow because we can not tell from the given statement that what other companies will do if company X increases the price of cars.

But other companies can't increase the price and decrease the price of cars at the same time.

They will increase or decrease the price of cars.

Hence the correct answer will be Either I or II follows.

Additional Information

• If there are two or more sentences that are used to frame a statement, then, the sentences must be interrelated, and mutual contradiction should be there.
• Do not look for truthful notions. The information provided in the statement is the only requirement for a student to answer the question. No assumptions must be made.
• Read the statement carefully and look for keywords that are common between the statement and the conclusions
• If there is more than one conclusion that is applicable to the statement, students must ensure that the conclusions they opt for have some relation with each other.