
A wooden block, with a coin placed on its top, floats in water as shown in the fig. The distance and are shown there. After some time the coin falls into the water, then
A. decreases and increases
B. increases and decreases
C. Both and increases
D. Both and decreases

Answer
485.4k+ views
1 likes
Hint:Observe the force acting on the combined system of wooden block and the coin. Check how the force on the system changes when the coin falls into the water and how it affects the water level. According to that select the option which fits the situation.
Complete answer:
Given, a wooden block floats in water and a coin is placed at the top of the wooden block.
is the height of the wooden block that is underwater and is the height of the water.
We are asked what will happen to the length and when the coin falls into the water.
Let be the mass of the coin and be the mass of the wooden block. Gravitational force is acting on the wooden block and the coin downwards with acceleration due to gravity . The weight of coin will be and weight of the wooden block will be
Combined weight will be
When a body falls in a liquid it displaces some amount of liquid comparable with the body’s weight.Here, the coin is not so massive, so when the coin falls into the water it displaces negligible amounts of water.One more important concept is buoyant force or upthrust which is the force exerted by the liquid on the object in upward direction, opposite to the gravitational force.
So, when the coin falls into the water combined weight decreases thus the force acting downwards too decreases which in turn increases the upthrust and the wooden block lifts up that means the part of the wooden block under the water decreases and also the water level goes down that means height of the water decreases.
Hence, the correct answer is option D.
Note:When a body floats on liquid, its weight decreases this is due to buoyancy. Buoyancy is the force which acts opposite to that of gravity and lets a body to float. But when the weight of the body is large, that is, the gravitational force is large compared to the buoyant force then it sinks in the liquid.
Complete answer:
Given, a wooden block floats in water and a coin is placed at the top of the wooden block.
We are asked what will happen to the length
Let
Combined weight will be
When a body falls in a liquid it displaces some amount of liquid comparable with the body’s weight.Here, the coin is not so massive, so when the coin falls into the water it displaces negligible amounts of water.One more important concept is buoyant force or upthrust which is the force exerted by the liquid on the object in upward direction, opposite to the gravitational force.
So, when the coin falls into the water combined weight decreases thus the force acting downwards too decreases which in turn increases the upthrust and the wooden block lifts up that means the part of the wooden block under the water decreases and also the water level goes down that means height of the water decreases.
Hence, the correct answer is option D.
Note:When a body floats on liquid, its weight decreases this is due to buoyancy. Buoyancy is the force which acts opposite to that of gravity and lets a body to float. But when the weight of the body is large, that is, the gravitational force is large compared to the buoyant force then it sinks in the liquid.
Latest Vedantu courses for you
Grade 7 | CBSE | SCHOOL | English
Vedantu 7 CBSE Pro Course - (2025-26)
School Full course for CBSE students
₹45,300 per year
Recently Updated Pages
Master Class 9 General Knowledge: Engaging Questions & Answers for Success

Master Class 9 English: Engaging Questions & Answers for Success

Master Class 9 Science: Engaging Questions & Answers for Success

Master Class 9 Social Science: Engaging Questions & Answers for Success

Master Class 9 Maths: Engaging Questions & Answers for Success

Class 9 Question and Answer - Your Ultimate Solutions Guide

Trending doubts
Difference Between Plant Cell and Animal Cell

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

What is the Full Form of ISI and RAW

Discuss what these phrases mean to you A a yellow wood class 9 english CBSE

Name 10 Living and Non living things class 9 biology CBSE

Name the states which share their boundary with Indias class 9 social science CBSE
