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When we express the velocity of light 30...

When we express the velocity of light 30,00,00,000 in standard form up to three significant fogures it is

A

`3xx10^(8)ms^(-1)`

B

`3.00xx10^(8)ms^(-1)`

C

`3xx10^(10)cms^(-1)`

D

`3xx10^(6)ms^(-1)`

Text Solution

AI Generated Solution

The correct Answer is:
To express the velocity of light, which is given as 30,00,00,000 (30 crore), in standard form up to three significant figures, we can follow these steps: ### Step 1: Write the number in standard form The number 30,00,00,000 can be expressed in standard form. Standard form is typically written as a number between 1 and 10 multiplied by a power of 10. ### Step 2: Identify the significant figures We need to express this number with three significant figures. The number 30,00,00,000 has the following significant figures: - The digits '3' and '0' are significant. - The trailing zeros after the decimal point are also significant when we express the number in standard form. ### Step 3: Convert to standard form To convert 30,00,00,000 into standard form: - We can express it as 3.00 × 10^8. - Here, '3.00' has three significant figures (the '3' and the two zeros after the decimal point), and '10^8' indicates the scale of the number. ### Step 4: Write the final answer Thus, the velocity of light in standard form up to three significant figures is: **3.00 × 10^8 meters per second.** ### Summary of the solution: - The velocity of light, 30,00,00,000, is expressed as 3.00 × 10^8 m/s in standard form with three significant figures. ---
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