The relative error in the measurement of the side of cube is 0.027. The relative error in the measurement of its volume is 

(1) 0.027

(2) 0.054

(3) 0.081

(4) 0.246

Zero error in an instrument introduces 

(1) Systematic error 

(2) Random error 

(3) Least count error 

(4) Personal error 

A packet contains silver powder of mass 20.23 g $\pm$ 0.01 g. Some of the powder of mass 5.75 g $\pm$ 0.01 g is taken out from it. The mass of the powder left-back is 

(1) 14.48 g $\pm$ 0.00 g 

(2) 14.48 $\pm$ 0.02 g

(3) 14.5 g $\pm$ 0.1 g

(4) 14.5 g $\pm$ 0.1 g

The radius of a sphere is (2.6 $\pm$ 0.1) cm . The percentage error in its volume is 

(1) $\frac{0.1}{2.6}\times 100\%<mspace\; width="1em"></mspace><mspace\; width="1em"></mspace>$

(2) $3\times \frac{0.1}{2.6}\times 100\%<mspace\; width="1em"></mspace><mspace\; width="1em"></mspace>$

(3) $<mspace\; width="1em"></mspace>\frac{0.1}{3\times 2.6}\times 100\%<mspace\; width="1em"></mspace>$

(4) $\frac{0.1}{2.6}\%$

We can reduce random errors by 

(1) Taking large number of observations  

(2) Corrected zero error 

(3) By following proper technique of experiment 

(4)  Both (1) & (3) 

The volume of a cube having sides 1.2 m is appropriately expressed as 

(1) $1.728\times <mspace\; width="1em"></mspace>{10}^6<mspace\; width="1em"></mspace>c{m}^3$
$$

(2) $1.7\times {10}^6<mspace\; width="1em"></mspace>c{m}^3$
$$

(3) $1.8<mspace\; width="1em"></mspace>\times <mspace\; width="1em"></mspace>{10}^6<mspace\; width="1em"></mspace>c{m}^3$
$$

(4) $1.73<mspace\; width="1em"></mspace>\times <mspace\; width="1em"></mspace>{10}^6<mspace\; width="1em"></mspace>c{m}^3$

The number of significant figures in a pure number 410 is 

(1) Two 

(2) Three 

(3) One 

(4)  lnfinite 

The addition of three masses 1.6 g , 7.32 g and 4.238 g, addressed up to proper decimal places is 

(1) 13.158 g

(2) 13.2 g

(3)  13.16 g

(4) 13.15 g

The area of a sheet of length \(10.2~\text{cm}\) and width \(6.8~\text{cm}\) addressed up to the proper number of significant figures is:
1. \( 69.36 ~\text{cm}^2 \)
2. \( 69.4~\text{cm}^2 \)
3. \(69~\text{cm}^2 \)
4. \(70~\text{cm}^2 \)

The uncertain digit in the measurement of a length reported as 41.68 cm is 

(1) 4

(2) 1

(3) 6

(4)  8