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NTA Abhyas 2020

Exam: NTA Abhyas
Year: 2020
Subject: Physics
Chapter: Experimental Physics

NTA Abhyas 2020 · Physics · Experimental Physics

What is the percentage error in the physical quantity A If it is...

What is the percentage error in the physical quantity

A

If it is related to four other physical quantities

a

,

b

,

c

and

d

as

A = \dfrac{{a}^{2}{b}^{3}}{d\sqrt{c}}

? The percentage error in measurement of

a

,

b

,

c

and

d

are

1 %

,

3 %

,

2 %

and

1 %

respectively.

Correct answer

13.00

Step-by-step solution

Percentage error in $A$

$= 2\dfrac{\Deltaa}{a} + 3\dfrac{\Deltab}{b} + \dfrac{1}{2}\dfrac{\Deltac}{c} + \dfrac{\Deltad}{d}$

$= \left(2 \times 1 + 3 \times 3 + \dfrac{1}{2} \times 2 + 1 \times 1\right) % = 13 %$

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