The pressure on a square plate is measured by measuring the force on the plate and the length of the sides of the plate by using the formula p=(F/l2). If the maximum errors in the measurement of force and length are 4 % and 2 % respectively, then the maximum error in the measurement of pressure is

Question

The pressure on a square plate is measured by measuring the force on the plate and the length of the sides of the plate by using the formula p=(F/l2). If the maximum errors in the measurement of force and length are 4 % and 2 % respectively, then the maximum error in the measurement of pressure is (A) 1 % (B) 2 % (C) 8 % (D) 10 %

Tardigrade Admin · Accepted Answer

Maximum percentage error in p p=4 %+2 × 2 %=8 %

$1%$

$2%$

$8%$

$10%$

Maximum percentage error in $p$
$p = 4% + 2 \times 2% = 8%$

Q. The pressure on a square plate is measured by measuring the force on the plate and the length of the sides of the plate by using the formula p=l2F​. If the maximum errors in the measurement of force and length are 4% and 2% respectively, then the maximum error in the measurement of pressure is

1%

2%

8%

10%

Maximum percentage error in p p=4%+2×2%=8%

$1%$

$2%$

$8%$

$10%$

Maximum percentage error in $p$
$p = 4% + 2 \times 2% = 8%$