The question asks for the term that describes the "total quantity of motion contained in the same body." This is a direct definition of a fundamental concept in physics, specifically classical mechanics. We need to identify the term that quantifies an object's motion based on its mass and velocity.
Correct Option: C) Momentum is defined as the product of an object's mass and its velocity. It is a vector quantity, meaning it has both magnitude and direction. The formula for momentum \(p\) is:
\[ p = m \times v \]where \(m\) is the mass of the object and \(v\) is its velocity. Therefore, momentum directly represents the quantity of motion an object possesses.
This is a syllogism problem that can be solved using Venn diagrams or by analyzing the logical relationships between the categories. We need to determine which conclusions logically follow from the given statements.
D) Only (2) follows
The momentum of an object is 50 kg ms-1 and its mass is 10 kg. What is the velocity of the object?
To find the velocity of an object when its momentum and mass are given, we use the fundamental definition of momentum. Momentum is the product of an object's mass and its velocity. By rearranging this formula, we can solve for velocity.
Momentum is given by the equation:
\[ p = m \times v \]where \(p\) is momentum, \(m\) is mass, and \(v\) is velocity.
To find velocity, divide momentum by mass:
\[ v = \frac{p}{m} \]The unit for velocity is meters per second (ms\(^{-1}\)).
Correct Option: D) 5 ms\(^{-1}\)
The question asks to identify the author of the autobiography 'My Music, My Life'. This requires knowledge of famous musicians and their literary works, specifically autobiographies.
B) Ravi Shankar is the legendary Indian sitar maestro whose autobiography is titled 'My Music, My Life'. He is widely regarded as one of the greatest musicians of the 20th century and played a pivotal role in popularizing Indian classical music globally.
The question asks to identify the leading producer of coarse cereals in India as of 2018. This requires knowledge of agricultural statistics and crop production by state.
Correct Option: A) Karnataka was the leading producer of coarse cereals in India as of 2018.
To find the speed of the train, we need to calculate the total distance covered by the train while crossing the bridge and then divide it by the time taken. The total distance will be the sum of the train's length and the bridge's length. Finally, convert the speed from meters per second (m/s) to kilometers per hour (km/h).
C) 80 km/h
The question asks to identify the leading coffee-producing state in India as of 2018. This requires knowledge of agricultural geography and economic statistics related to India's major crops.
Correct Option: A) Karnataka
This problem can be solved by applying the principle of conservation of mechanical energy. When air friction is neglected, the total mechanical energy (sum of potential and kinetic energy) of a body remains constant throughout its motion.
B) = P.E The kinetic energy just before touching the Earth is equal to the initial potential energy, which is 200 J. This is a direct consequence of the conservation of mechanical energy when non-conservative forces like air friction are neglected.
The question asks about the origin point of the spinal cord within the brain. This requires knowledge of the basic anatomy of the central nervous system, specifically the brainstem and its connection to the spinal cord.
Correct Option: B) Medulla. The spinal cord is a direct continuation of the medulla oblongata, which is the lowest part of the brainstem. This is the anatomical point where the brain transitions into the spinal cord.