The measured mass and volume of a body are 23.42 g and 4.9 cm 3 respectively with possible error 0.01 g and 0.1 cm 3. The maximum error in density is nearly

Question

The measured mass and volume of a body are 23.42 g and 4.9 cm 3 respectively with possible error 0.01 g and 0.1 cm 3. The maximum error in density is nearly (A) 0.2 % (B) 2 % (C) 5 % (D) 10 %

Tardigrade Admin · Accepted Answer

Percentage error in mass =(0.01/23.42) × 100=0.04 Percentage error in volume =(0.1/4.9) × 100=2.04 Adding up the percentage errors, we get nearly 2 %.

Q. The measured mass and volume of a body are $23.42 g$ and $4.9 c m^{3}$ respectively with possible error $0.01 g$ and $0.1 c m^{3}$ . The maximum error in density is nearly

0.2 %

2 %

5 %

10 %

Percentage error in mass $= \frac{0.01}{23.42} \times 100 = 0.04$
Percentage error in volume $= \frac{0.1}{4.9} \times 100 = 2.04$
Adding up the percentage errors, we get nearly $2%$ .

Q. The measured mass and volume of a body are 23.42g and 4.9cm3 respectively with possible error 0.01g and 0.1cm3. The maximum error in density is nearly

0.2 %

2 %

5 %

10 %

Percentage error in mass =23.420.01​×100=0.04 Percentage error in volume =4.90.1​×100=2.04 Adding up the percentage errors, we get nearly 2%.

Q. The measured mass and volume of a body are $23.42 g$ and $4.9 c m^{3}$ respectively with possible error $0.01 g$ and $0.1 c m^{3}$ . The maximum error in density is nearly

Percentage error in mass $= \frac{0.01}{23.42} \times 100 = 0.04$
Percentage error in volume $= \frac{0.1}{4.9} \times 100 = 2.04$
Adding up the percentage errors, we get nearly $2%$ .