1.

The leastcounts of a vernier calipers and ascrew gaugeare in theratio of 5: 1 . Themainscales ofboth theinstruments are marked in mm. Thezeroerroron thevernier calipers is+0.15 mm where as that onscrewgauge is -0.06 mm. If thediameter of arod lies between 0.9 cm and1.0cm and x and y arethe VCDand CSR onthe twoinstrumentsrelation betweenx and ygiventhat thenumberof C.S.D = 100 is

Answer»

`x-5y =9`
`5x -y =9`
`x-5y=21`
`5x-y =21`

Solution : Leastcount ofscrewgauge`=(1)/(100)=0.01 mm`
Leastcount ofverniercalipers`=5xx 0.01 =0.05 mm`
Let d be thediameterof the ROD
`9 mmlt d lt 10 mm`
`d=9+ y xx 0.01 +0.06 ` by SCREW GAUGE
` 5x -15 =y+6`
`5x -y =21`


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