Sign in
Please select an account to continue using cracku.in
↓ →
Prep with like-minded aspirants; Get access to free daily tests and study material.
For an experimental expression $$y=\frac{32.3\times1125}{27.4},$$ where all the digits are significant. Then to report the value of $$y$$ we should write
We need to compute $$y = \frac{32.3 \times 1125}{27.4}$$ and report it with the correct number of significant figures.
First, let us count the significant figures in each quantity:
$$32.3$$ has 3 significant figures.
$$1125$$ has 4 significant figures.
$$27.4$$ has 3 significant figures.
In multiplication and division, the final result must have the same number of significant figures as the quantity with the fewest significant figures. Here, the minimum is 3 significant figures.
Now let us compute the value step by step.
$$32.3 \times 1125 = 36337.5$$
$$y = \frac{36337.5}{27.4} = 1326.186...$$
We must round this to 3 significant figures. The first three significant digits of $$1326.186$$ are $$1$$, $$3$$, and $$2$$. The next digit is $$6$$, which is $$\ge 5$$, so we round up.
$$1326.186... \approx 1330$$
Hence, the correct answer is Option B.
Create a FREE account and get:
Predict your JEE Main percentile, rank & performance in seconds
Educational materials for JEE preparation
Ask our AI anything
AI can make mistakes. Please verify important information.
AI can make mistakes. Please verify important information.