1.

13. A boat having some iron pieces is floating in a pond. If iron pieces are thrown in the liquid then level of liquid(2)(4)(1)(3)IncreasesDecreasesMay increase or decreaseNeither increases nor decreases

Answer»

The iron occupy some volume and weight thus displace some amount of water when placed in boat or when unloaded in water. Now, when the iron are on the boat the volume occupied by them will be greater than when they are in water. This s what causes the water level to drop as they are unloaded.

Lets see how...

The volume of water displaced when stones are in boat will be

dV = (mboat+ miron)/ρwater

(as volume = mass/density)

here,

mboatis the mass of the boat and mironis the mass of the iron

and ρwateris the density of water = 1 gm/cc

so,

dV = mboat+ miron

now,

The volume of water displaced when iron are in boat will be

dV = (Wboat/ρwater)+ (Wiron/ρiron)

so,

dV' = mboat+ (miron/ρiron)

here

ρironis the density of iron which is greater than 1 gm/cc.

so,

dV > dV'

thus, volume displaced in the first case will be more than that of the second case.

hence, correct option is (b)


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