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Acceleration (a),velocity(v) and displacement (x) are related according to eq A=V/A X/B.dimensions of time in dimensional formula of A And B is (Where A and B are constant) (a).1 (b).-2 (c). 2 (d). 3 Option d is the answer can you explain it.?
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Acceleration (a),velocity(v) and displacement (x) are related accordin...
**Explanation:**
To find the dimensions of time in the dimensional formula of A and B, we need to consider the given relationship between acceleration (a), velocity (v), and displacement (x).
The equation given is:
A = V/A * X/B
Let's analyze the dimensions of each term in the equation:
- Acceleration (a) has the dimension of L/T^2, where L represents length and T represents time.
- Velocity (v) has the dimension of L/T, where L represents length and T represents time.
- Displacement (x) has the dimension of L, where L represents length.
Now, let's substitute the dimensions of a, v, and x into the equation:
L/T^2 = (L/T) / A * L / B
Now, let's analyze the dimensions on both sides of the equation:
- On the left-hand side, we have L/T^2, which represents acceleration.
- On the right-hand side, we have (L/T) / A * L / B.
To equate the dimensions on both sides of the equation, we need to cancel out the dimensions of length (L) and time (T) separately.
- To cancel out the dimension of length (L), we need to have L on both sides of the equation. This implies A = B.
- To cancel out the dimension of time (T), we need to have T^2 on the left-hand side and T on the right-hand side. This implies that A = T^2.
Therefore, the dimensions of time (T) in the dimensional formula of A and B are T^2. Hence, the correct answer is option (d) 3.
To find the dimensions of time in the dimensional formula of A and B, we need to consider the given relationship between acceleration (a), velocity (v), and displacement (x).
The equation given is:
A = V/A * X/B
Let's analyze the dimensions of each term in the equation:
- Acceleration (a) has the dimension of L/T^2, where L represents length and T represents time.
- Velocity (v) has the dimension of L/T, where L represents length and T represents time.
- Displacement (x) has the dimension of L, where L represents length.
Now, let's substitute the dimensions of a, v, and x into the equation:
L/T^2 = (L/T) / A * L / B
Now, let's analyze the dimensions on both sides of the equation:
- On the left-hand side, we have L/T^2, which represents acceleration.
- On the right-hand side, we have (L/T) / A * L / B.
To equate the dimensions on both sides of the equation, we need to cancel out the dimensions of length (L) and time (T) separately.
- To cancel out the dimension of length (L), we need to have L on both sides of the equation. This implies A = B.
- To cancel out the dimension of time (T), we need to have T^2 on the left-hand side and T on the right-hand side. This implies that A = T^2.
Therefore, the dimensions of time (T) in the dimensional formula of A and B are T^2. Hence, the correct answer is option (d) 3.
Community Answer
Acceleration (a),velocity(v) and displacement (x) are related accordin...
Equation who nahi yeh hona sahiye
A= V/A+X/B
A= V/A+X/B
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Acceleration (a),velocity(v) and displacement (x) are related according to eq A=V/A X/B.dimensions of time in dimensional formula of A And B is (Where A and B are constant) (a).1 (b).-2 (c). 2 (d). 3 Option d is the answer can you explain it.?
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Acceleration (a),velocity(v) and displacement (x) are related according to eq A=V/A X/B.dimensions of time in dimensional formula of A And B is (Where A and B are constant) (a).1 (b).-2 (c). 2 (d). 3 Option d is the answer can you 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 Acceleration (a),velocity(v) and displacement (x) are related according to eq A=V/A X/B.dimensions of time in dimensional formula of A And B is (Where A and B are constant) (a).1 (b).-2 (c). 2 (d). 3 Option d is the answer can you explain it.? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Acceleration (a),velocity(v) and displacement (x) are related according to eq A=V/A X/B.dimensions of time in dimensional formula of A And B is (Where A and B are constant) (a).1 (b).-2 (c). 2 (d). 3 Option d is the answer can you explain it.?.
Acceleration (a),velocity(v) and displacement (x) are related according to eq A=V/A X/B.dimensions of time in dimensional formula of A And B is (Where A and B are constant) (a).1 (b).-2 (c). 2 (d). 3 Option d is the answer can you 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 Acceleration (a),velocity(v) and displacement (x) are related according to eq A=V/A X/B.dimensions of time in dimensional formula of A And B is (Where A and B are constant) (a).1 (b).-2 (c). 2 (d). 3 Option d is the answer can you explain it.? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Acceleration (a),velocity(v) and displacement (x) are related according to eq A=V/A X/B.dimensions of time in dimensional formula of A And B is (Where A and B are constant) (a).1 (b).-2 (c). 2 (d). 3 Option d is the answer can you explain it.?.
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