In a physical balance, the weight at $H R P i s 28.15 g$ . When $10 m g$ is added, the LRP is obtained. If MRP is $9 d i v i s i o n s$ , LRP is $7 d i v i s i o n s$ and $Z R P i s 8 d i v i s i o n s$ , the weight of the object is _________ g.

$28.143$

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$28.155$

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$28.156$

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$28.154$

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Solution

The correct option is B
$28.155$

Step 1: Given data and formula used
HRP - Higher resting point $= 9$
ZRP - Zero resting point $= 8$
LRP - Lower resting point $= 7$
Weight at HRP $= 28.15 g$
Formula of Weight $= weight at HRP + (\frac{HRP - ZRP}{HRP - LRP}) \times 0.01 g$
correction in weight is $(\frac{HRP - ZRP}{HRP - LRP}) \times 10 m g = (\frac{HRP - ZRP}{HRP - LRP}) \times 0.01 g$
Step 2: Calculation of weight
Weight $= weight at HRP + (\frac{HRP - ZRP}{HRP - LRP}) \times 0.01 g = = 28.15 + \frac{(9 - 8)}{(9 - 7)} \times 0.01 = 28.15 + 0.005 = 28.155 g$
Hence, the correct option is (b).

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In a physical balance, the weight at HRPis28.15g. When 10mg is added, the LRP is obtained. If MRP is 9divisions, LRP is 7divisions and ZRPis8divisions, the weight of the object is _________ g.

In a physical balance, the weight at $H R P i s 28.15 g$ . When $10 m g$ is added, the LRP is obtained. If MRP is $9 d i v i s i o n s$ , LRP is $7 d i v i s i o n s$ and $Z R P i s 8 d i v i s i o n s$ , the weight of the object is _________ g.