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.
Acceleration (a),velocity(v) and displacement (x) are related accordin...
Equation who nahi yeh hona sahiye
A= V/A+X/B
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