Mechanical advantage (M.A.), load (L) and effort (E) are related as :

Options

A. `M.A.=LxxE`
B. `M.A.xxE=L`
C. `E=M.A.xxL`
D. none of these

Answer

To solve the question regarding the relationship between Mechanical Advantage (M.A.), Load (L), and Effort (E), we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Definitions**:
- **Mechanical Advantage (M.A.)**: It is defined as the ratio of Load (L) to Effort (E). Mathematically, it can be expressed as:
\[ M.A. = \frac{L}{E} \]

2. **Rearranging the Formula**:
- From the definition, we can rearrange the formula to express Load in terms of Mechanical Advantage and Effort:
\[ L = M.A. \times E \]

3. **Identifying the Options**:
- The options provided are:
- A) \( M.A. = L \times E \)
- B) \( M.A. \times E = L \)
- C) \( E = M.A. \times L \)
- D) None of these

4. **Analyzing Each Option**:
- **Option A**: \( M.A. = L \times E \) is incorrect based on our derived formula.
- **Option B**: \( M.A. \times E = L \) is correct as it directly follows from our rearrangement.
- **Option C**: \( E = M.A. \times L \) is incorrect as it does not match our derived formula.
- **Option D**: "None of these" is incorrect because option B is valid.

5. **Conclusion**:
- The correct relationship is given by option B: \( M.A. \times E = L \).

### Final Answer:
The correct answer is **B) \( M.A. \times E = L \)**.