. A solid body weighs 2.10 N in air. Its relative
density is 8.4 . How much will the body weigh if
placed
(i) in water,
(ii) in a liquid of relative density 1.2 ?
Answers
Answer:
(I)upthrust=weight in air/relative density=0.25
there fore the weight in water is original weight-apparent weight which is 1.85N
(2)1.8N
Answer:
(1). Weight of solid in water = 1.85 N.
(2). Weight of body in liquid = 1.80N
Explanation:
- In context to the given question, we have to find the Weigh of body if it is placed in
- in water,
- in a liquid of relative density 1.2 ?
Given,
(1). IN WATER
⇒ Weight of solid in air = 2.10 N
⇒ Relative density of solid = 8.4
Now,
we know that,
⇒ Relative density = weight of solid in air/ loss of weight of solid in water.
Hence,
⇒ Loss of weight of solid in water = weight of solid in air/ Relative density.
Loss of weight of solid in water = 2.10/8.4 = 0.25 N.
⇒ Actual Weight of solid in water = weight in air - loss of weight in water
⇒Actual Weight of solid in water = 2.10 - 0.25 = 1.85 N.
∴ Actual Weight of solid in water = 1.85 N.
(2). IN A LIQUID OF RELATIVE DENSITY 1.2
we know that,
⇒Loss of weight of solid in water = 0.25 N
⇒Up thrust due to liquid of relative density 1.2 = Loss of weight of solid in water× R.D. of liquid
= 0.25 x 1.2 = 0.30 N
⇒Weight of body in liquid = Weight of body in air - Up thrust due to liquid
= 2.10-0.30= 1.80 N
∴Weight of body in liquid = 1.80N