Relative densities of two substances A and B are $2.5$ and $0.9$ respectively. Find densities of A and B. Also, find whether they will float or sink in water. Given that the density of water is $1000 \frac{k g}{m^{3}}$ .

Open in App

Solution

$S t e p 1 : - G i v e n d a t a : - R e a l t i v e d e n s i t y o f A = 2.5 R e a l t i v e d e n s i t y o f B = 0.9 D e n s i t y o f w a t e r = 1000 \frac{k g}{m^{3}} S t e p 2 : - T o f i n d : - (i) D e n s i t y o f A (i i) D e n s i t y o f B S t e p 3 : - W e k n o w n t h a t, F o r m u l a \Rightarrow R e l a t i v e d e n s i t y = \frac{D e n s i t y o f o b j e c t}{D e n s i t y o f w a t e r} S t e p 4 : - S o l u t i o n, 1 . R e l a t i v e d e n s i t y o f A = \frac{D e n s i t y o f o b j e c t A}{D e n s i t y o f w a t e r} 2.5 = \frac{D e n s i t y o f A}{1000} \Rightarrow D e n s i t y o f A = 2.5 \times 1000 \Rightarrow D e n s i t y o f A = 2500 \frac{k g}{m^{3}} 2 . R e l a t i v e d e n s i t y o f B = \frac{D e n s i t y o f o b j e c t B}{D e n s i t y o f w a t e r} 0.9 = \frac{D e n s i t y o f o b j e c t B}{1000} \Rightarrow D e n s i t y o f B = 0.9 \times 1000 \Rightarrow D e n s i t y o f B = 900 \frac{k g}{m^{3}} S t e p 5 : - F i n a l a n s w e r, 1 . D e n s i t y o n A i s g r e a t e r t h a n w a t e r w h i l e D e n s i t y o f B i s l e s s t h a n w a t e r . 2 . H e n c e, o b j e c t A w i l l \sin k a n d o b j e c t B w i l l f l o a t i n w a t e r .$

Suggest Corrections

Similar questions

Q. The volume of

50 g

of a substance is

20 {c m}^{3}

. If the density of water is

1 {g c m}^{- 3}

.Find the density of the substance and interpret whether the substance will sink or float?

The relative densities of two substances X and Y are 2.5 and 0.9 respectively. Find the densities of X and Y. Find whether the substance will sink or float?

Find the relative density of the metal. Given, the $d e n s i t y o f m e t a l = 8400 \frac{k g}{m^{3}}$ and $d e n s i t y o f w a t e r = 1000 \frac{k g}{m^{3}}$

The density of iron is $7900 \frac{k g}{m^{3}}$ . Calculate its relative density. Will, it floats or sink in water? Give a reason for your answer.

The volume of $50 g$ a substance is $20 c m^{3}$ . Find its density. If the density of water is $1 \frac{g}{c m^{3}}$ , will the substance float or sink.

Join BYJU'S Learning Program

Relative densities of two substances A and B are 2.5 and 0.9 respectively. Find densities of A and B. Also, find whether they will float or sink in water. Given that the density of water is1000kgm3.

Relative densities of two substances A and B are $2.5$ and $0.9$ respectively. Find densities of A and B. Also, find whether they will float or sink in water. Given that the density of water is $1000 \frac{k g}{m^{3}}$ .