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There are two bodies X and Y with equal kinetic energy but different masses m and 4m respectively. The ratio of their linear momentum is- A: 1:2 B: 4:1 C: 1:√2 D: 1:4 Correct answer is a can uh explain it?
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Introduction:
In this problem, we are given two bodies X and Y with equal kinetic energy but different masses. We need to find the ratio of their linear momentum.
Given information:
- Body X has mass m.
- Body Y has mass 4m.
- Both bodies have equal kinetic energy.
Key concept:
The kinetic energy of an object is given by the equation: KE = 0.5 * m * v^2, where m is the mass of the object and v is its velocity. The linear momentum of an object is given by the equation: p = m * v, where p is the linear momentum, m is the mass, and v is the velocity of the object.
Solution:
Since both bodies have equal kinetic energy, we can equate their kinetic energy equations:
0.5 * m * v1^2 = 0.5 * (4m) * v2^2
Simplifying the equation:
m * v1^2 = 2m * v2^2
Dividing both sides by m:
v1^2 = 2 * v2^2
Taking the square root of both sides:
v1 = √(2) * v2
Now, let's find the ratio of their linear momentum:
p1/p2 = (m * v1)/(4m * v2)
Canceling out the masses:
p1/p2 = v1/(4 * v2)
Substituting the value of v1:
p1/p2 = (√(2) * v2)/(4 * v2)
Simplifying the expression:
p1/p2 = √(2)/4
Therefore, the ratio of their linear momentum is 1:2, which is option A.
In this problem, we are given two bodies X and Y with equal kinetic energy but different masses. We need to find the ratio of their linear momentum.
Given information:
- Body X has mass m.
- Body Y has mass 4m.
- Both bodies have equal kinetic energy.
Key concept:
The kinetic energy of an object is given by the equation: KE = 0.5 * m * v^2, where m is the mass of the object and v is its velocity. The linear momentum of an object is given by the equation: p = m * v, where p is the linear momentum, m is the mass, and v is the velocity of the object.
Solution:
Since both bodies have equal kinetic energy, we can equate their kinetic energy equations:
0.5 * m * v1^2 = 0.5 * (4m) * v2^2
Simplifying the equation:
m * v1^2 = 2m * v2^2
Dividing both sides by m:
v1^2 = 2 * v2^2
Taking the square root of both sides:
v1 = √(2) * v2
Now, let's find the ratio of their linear momentum:
p1/p2 = (m * v1)/(4m * v2)
Canceling out the masses:
p1/p2 = v1/(4 * v2)
Substituting the value of v1:
p1/p2 = (√(2) * v2)/(4 * v2)
Simplifying the expression:
p1/p2 = √(2)/4
Therefore, the ratio of their linear momentum is 1:2, which is option A.
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There are two bodies X and Y with equal kinetic energy but different masses m and 4m respectively. The ratio of their linear momentum is- A: 1:2 B: 4:1 C: 1:√2 D: 1:4 Correct answer is a can uh explain it?
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There are two bodies X and Y with equal kinetic energy but different masses m and 4m respectively. The ratio of their linear momentum is- A: 1:2 B: 4:1 C: 1:√2 D: 1:4 Correct answer is a can uh explain it? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about There are two bodies X and Y with equal kinetic energy but different masses m and 4m respectively. The ratio of their linear momentum is- A: 1:2 B: 4:1 C: 1:√2 D: 1:4 Correct answer is a can uh explain it? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are two bodies X and Y with equal kinetic energy but different masses m and 4m respectively. The ratio of their linear momentum is- A: 1:2 B: 4:1 C: 1:√2 D: 1:4 Correct answer is a can uh explain it?.
There are two bodies X and Y with equal kinetic energy but different masses m and 4m respectively. The ratio of their linear momentum is- A: 1:2 B: 4:1 C: 1:√2 D: 1:4 Correct answer is a can uh explain it? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about There are two bodies X and Y with equal kinetic energy but different masses m and 4m respectively. The ratio of their linear momentum is- A: 1:2 B: 4:1 C: 1:√2 D: 1:4 Correct answer is a can uh explain it? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are two bodies X and Y with equal kinetic energy but different masses m and 4m respectively. The ratio of their linear momentum is- A: 1:2 B: 4:1 C: 1:√2 D: 1:4 Correct answer is a can uh explain it?.
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