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Fill in the blanks by suitable conversion of units:- `1kg m^2 s^-2 = …...g cm^2 s^-2`

Text Solution

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(a) `1kg m^(2)s^(-2)=10^(3)g(10^(2)m)^(2)s^(-2)=10^(7)gcm^(2)s^(-2)`
(b) We know, 1 light year `=9.46xx10^(15)m`
`:.1m=(1)/(9.46xx10^(15))` light year or `1m=1.057xx10^(-16)` light year.
(c ) `3ms^(-2)=3xx10^(-3)km((1)/(60xx60)hr)=3xx10^(-3)xx3600xx3600km hr^(-2)`
`=3.9xx10^(4)kmhr^(-2)`
(d) `G=6.67xx10^(-11)Nm^(2)kg^(-2)`
`=6.67xx10^(-11)(kgms^(-2))m^(2)kg^(-2)`
`=6.67xx10^(-11)m^(3)s^(-2)kg^(-1)`
`=6.67xx10^(-11)(100cm)^(3)s^(-2)(1000g)^(-1)`
`=6.67xx10^(-8)cm^(3)s^(-2)g^(-1)`.
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