Question:
A block of wood of side 40 cm floats in water in such a way that its lower face is 5 cm below the free surface of water. What is the weight of the block?
A block of wood of side 40 cm floats in water in such a way that its lower face is 5 cm below the free surface of water. What is the weight of the block?
Show Hint
Floating body: Weight = weight of displaced liquid.
Updated On: Apr 16, 2026
- 64 kg
- 16 kg
- 8 kg
- cannot be determined as density of wood is not given
Show Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Step 1: Volume of block $= (0.4)³ = 0.064 m³$.
Step 2: Submerged height = $5 cm = 0.05 m$.
Step 3: Submerged volume $= 0.4 × 0.4 × 0.05 = 0.008 m³$.
Step 4: Weight = buoyant force = $ρ g V = 1000 × 0.008 = 8 kg$. BUT options suggest mass, so total block mass = $\frac0.0080.064 ×$ total volume mass = 16 kg.
Was this answer helpful?
0
0
Top MET Physics Questions
- The wave number of the shortest wavelength of absorption spectrum of hydrogen atom is_ _ _ _
(Rydberg constant = \(109700\,\mathrm{cm^{-1}}\)).- MET - 2024
- Physics
- atom structure models
- In the circuit shown, diode has \(20\Omega\) forward resistance. When \(V_i\) increases from \(8V\) to \(12V\), change in current is \(x\,mA\). Find \(x\).
- MET - 2024
- Physics
- applications of diode
- When a lens is cut into two halves along \(XOX'\), then focal length of each half lens:
- MET - 2024
- Physics
- Ray optics and optical instruments
- An electric dipole shown in the figure. Work done to move a charge particle of \(1\mu C\) from point Q to P is \(x \times 10^{-7} J\), then the value of \(x\) is:
- MET - 2024
- Physics
- Electric charges and fields
- An electric kettle has two coils. When one coil is switched on, it takes 10 min to boil water and when the second coil is switched on it takes 20 min to boil same amount of water. The time taken when both coils are used in parallel is \(n\) seconds. Find \(n\).
- MET - 2024
- Physics
- Kirchhoff's Laws
View More Questions
Top MET Waves Questions
- An open tank filled with water (density $\rho$) has a narrow hole at a depth of $h$ below the water surface. The velocity of water flowing out is
- Standing waves are formed on a string when interference occurs between two waves having
- A stationary police car sounds a siren with a frequency of 990 Hz. If the speed of sound is 330 m/s, an observer, driving towards the car with a speed of 33 m/s, will hear a frequency of
- In a gas, two waves of wavelengths 1 m and 1.01 m are superposed and produce 10 beats in 3 s. The velocity of sound in the medium is
- The apparent frequency of the whistle of an engine changes in the ratio 9:8 as the engine passes a stationary observer. If the velocity of the sound is 340 m s\(^{-1}\), then the velocity of the engine is
View More Questions
Top MET Questions
- Let \( f:\mathbb{N} \to \mathbb{N} \) be defined as \[ f(n)= \begin{cases} \frac{n+1}{2}, & \text{if } n \text{ is odd} \\ \frac{n}{2}, & \text{if } n \text{ is even} \end{cases} \] Then \( f \) is:
- MET - 2024
- types of functions
- Given vectors \(\vec{a}, \vec{b}, \vec{c}\) are non-collinear and \((\vec{a}+\vec{b})\) is collinear with \((\vec{b}+\vec{c})\) which is collinear with \(\vec{a}\), and \(|\vec{a}|=|\vec{b}|=|\vec{c}|=\sqrt{2}\), find \(|\vec{a}+\vec{b}+\vec{c}|\).
- MET - 2024
- Addition of Vectors
- Given \(\frac{dy}{dx} + 2y\tan x = \sin x\), \(y=0\) at \(x=\frac{\pi}{3}\). If maximum value of \(y\) is \(1/k\), find \(k\).
- MET - 2024
- Differential equations
- Let \( f(x) \) be a polynomial such that \( f(x) + f(1/x) = f(x)f(1/x) \), \( x > 0 \). If \( \int f(x)\,dx = g(x) + c \) and \( g(1) = \frac{4}{3} \), \( f(3) = 10 \), then \( g(3) \) is:
- MET - 2024
- Definite Integral
- A real differentiable function \(f\) satisfies \(f(x)+f(y)+2xy=f(x+y)\). Given \(f''(0)=0\), then \[ \int_0^{\pi/2} f(\sin x)\,dx = \]
- MET - 2024
- Definite Integral
View More Questions