Answer
349.2k+ views
Hint: Kinetic energy is the energy that an object absorbs to change its location, and it is dependent on mass and velocity. Momentum is equal to the product of the square of speed and half of the mass, while kinetic energy is equal to the product of the square of speed and half of the mass.
Complete step by step answer:
An object's kinetic energy is the energy associated with it as it moves. It's described as "the amount of energy needed for a body to accelerate from rest to a specified velocity." It's a quantity with a vector.
$K.E = \dfrac{1}{2}m{v^2}$
Where,
m=mass of the object measured in kg
v= velocity of the object measured in m/s
Momentum: The virtue of an object's mass is its momentum. It's referred to as the mass-velocity product. It's a quantity with a vector attached to it.
\[p = mv\]
Where
P= momentum.
M= mass of the object measured using kg.
V= velocity of object measure using m/s.
Here we can see that Momentum is directly proportional to the velocity as given in the equation for momentum
So, based on the knowledge gathered so far, we can deduce that kinetic energy is directly proportional to velocity squared. This means that when momentum is doubled while mass remains constant, velocity is also doubled, resulting in a fourfold increase in kinetic energy over the original value. So, the above given statement is true.
Hence, the correct option is (a).
Note: Important properties related to kinetic theory
Energy is neither gained or lost when molecules collide.
The molecules in a gas take up very minute space in relation to the container they occupy.
The molecules are in constant, linear motion.
Complete step by step answer:
An object's kinetic energy is the energy associated with it as it moves. It's described as "the amount of energy needed for a body to accelerate from rest to a specified velocity." It's a quantity with a vector.
$K.E = \dfrac{1}{2}m{v^2}$
Where,
m=mass of the object measured in kg
v= velocity of the object measured in m/s
Momentum: The virtue of an object's mass is its momentum. It's referred to as the mass-velocity product. It's a quantity with a vector attached to it.
\[p = mv\]
Where
P= momentum.
M= mass of the object measured using kg.
V= velocity of object measure using m/s.
Here we can see that Momentum is directly proportional to the velocity as given in the equation for momentum
So, based on the knowledge gathered so far, we can deduce that kinetic energy is directly proportional to velocity squared. This means that when momentum is doubled while mass remains constant, velocity is also doubled, resulting in a fourfold increase in kinetic energy over the original value. So, the above given statement is true.
Hence, the correct option is (a).
Note: Important properties related to kinetic theory
Energy is neither gained or lost when molecules collide.
The molecules in a gas take up very minute space in relation to the container they occupy.
The molecules are in constant, linear motion.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Why Are Noble Gases NonReactive class 11 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let X and Y be the sets of all positive divisors of class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x and y be 2 real numbers which satisfy the equations class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x 4log 2sqrt 9k 1 + 7 and y dfrac132log 2sqrt5 class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x22ax+b20 and x22bx+a20 be two equations Then the class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
At which age domestication of animals started A Neolithic class 11 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Which are the Top 10 Largest Countries of the World?
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give 10 examples for herbs , shrubs , climbers , creepers
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference Between Plant Cell and Animal Cell
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Write a letter to the principal requesting him to grant class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Change the following sentences into negative and interrogative class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill in the blanks A 1 lakh ten thousand B 1 million class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)