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Assertion : Expressing 735 m into km, we...

Assertion `:` Expressing 735 m into km, we get 735000km.
Reason`:` 1m `= ( 1)/( 1000) km`

A

If both assertion and reason are true and reason is the correct explanation of assertion

B

If both assertion and reason are true but reason is not the correct explanation of assertion.

C

If assertion is true but reason is false.

D

If assertion is false but reason is true.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to evaluate the assertion and the reason provided. ### Step 1: Understand the Assertion The assertion states that "Expressing 735 m into km, we get 735000 km." ### Step 2: Convert Meters to Kilometers We know that: 1 km = 1000 m To convert meters to kilometers, we can use the formula: \[ \text{Kilometers} = \frac{\text{Meters}}{1000} \] ### Step 3: Apply the Conversion to 735 m Now, we will apply the conversion to 735 m: \[ \text{Kilometers} = \frac{735 \text{ m}}{1000} = 0.735 \text{ km} \] ### Step 4: Evaluate the Assertion The assertion claims that 735 m equals 735000 km, which we have calculated to be 0.735 km. Therefore, the assertion is **false**. ### Step 5: Understand the Reason The reason states that "1 m = (1)/(1000) km." This is correct because: 1 km = 1000 m implies that 1 m = 1/1000 km. ### Step 6: Evaluate the Reason Since we have confirmed that the reason is true, we conclude that: - The assertion is false. - The reason is true. ### Conclusion Thus, the correct conclusion is that the assertion is false, but the reason is true. ### Final Answer - Assertion: False - Reason: True
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