A metal sphere weighing $$50$$ grms in air is suspended by a thread in an oil of specific gravity $$0.4$$. If the tension in the thread is $$40$$ grm wt. The specific gravity of the metal sphere is

Question

A metal sphere weighing $$50$$ grms in air is suspended by a thread in an  oil of specific gravity $$0.4$$. If the tension in the thread is $$40$$ grm wt. The  specific gravity of the metal sphere is

Infinity Learn · Accepted Answer

$$T=w(1$$−dℓ$$db)$$⇒$$T=w(1$$−$$dLdwdbdw)$$                       $$T=50(1$$−R.$$D1R$$.$$D2)$$                     $$40=50(1$$−$$0.4R$$.$$D2)$$                     $$45=1$$−$$0.4R$$.$$D2$$⇒$$0.4R$$.$$D2=1$$−$$45=15$$                     R.$$D2=0.4$$×$$51=2$$     Relative density of body is $$=$$ $$2$$

A metal sphere weighing 50 grms in air is suspended by a thread in an oil of specific gravity 0.4. If the tension in the thread is 40 grm wt. The specific gravity of the metal sphere is

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