BITSAT 2024 Shift 1 Paper

To determine the correct value for √AB, we start with the given measurements:
‌A=1.0m±0.2m
‌B=2.0m±0.2m
First, calculate Y=√AB :
Y=√(1.0)(2.0)=√2.0≈1.414m
Rounding this to two significant digits:
Y=1.4m
Next, calculate the uncertainty in Y :
The relative uncertainty in Y is given by:
‌

∆Y

Y

=‌

1

2

(‌

∆A

A

+‌

∆B

B

)
Substitute the values:
‌

∆Y

Y

=‌

1

2

(‌

0.2

1.0

+‌

0.2

2.0

)=‌

1

2

(0.2+0.1)=‌

0.3

2

Calculate ∆Y :
∆Y=‌

0.3×1.4

2

=0.21
Rounding off to one significant digit, ∆Y≈0.2m.
Thus, the correct value for √AB is:
1.4m±0.2m