In a practical unit if the unit of mass becom | vedclass

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Question

(c)

$	ext { Work } ightarrow\left[ ML ^2 T ^{-2}ight]$

$n_1 V_1=n_2 V_2$

$\frac{(8) M _1 L _1^2 T _1^{-2}}{ M _2 L _2^2 T _2^{-2}}=n_2$

Vedclass · Accepted Answer

$1$

Vedclass · Answer

(c)

$	ext { Work } ightarrow\left[ ML ^2 T ^{-2}ight]$

$n_1 V_1=n_2 V_2$

$\frac{(8) M _1 L _1^2 T _1^{-2}}{ M _2 L _2^2 T _2^{-2}}=n_2$

$\Rightarrow 8\left[\frac{ M _1}{ M _2}ight]\left[\frac{ L _1}{ L _2}ight]^2\left[\frac{ T _1}{ T _2}ight]^{-2}=n_2$

$\Rightarrow 8\left[\frac{ M _1}{2 M _1}ight]\left[\frac{ L _1}{ L _1}ight]^2\left[\frac{2 T _1}{ T _1}ight]^{-2}=n_2$

$\Rightarrow 8 	imes \frac{1}{2} 	imes \frac{1}{4}=n_2$

$\Rightarrow n_2=1$

So, unit of 8 joule $=1 	imes$ new units

In a practical unit if the unit of mass becomes double and that of unit of time becomes half, then $8$ joule will be equal to .............. unit of work.

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