The figure shows three glasses P, Q and R with water and floating ice cube. Glass P has a solid ice cube, glass Q has an ice cube with a small solid steel ball embedded in it and glass R has an ice cube with an air bubble. After the ice cube melts, the level of water in glasses P, Q and R, respectively:
Step 1: Glass P — pure ice cube.
A floating ice cube displaces water equal to its weight. When it melts, it simply becomes the same mass of water. Thus the water level remains the same.
Step 2: Glass Q — ice cube with steel ball.
The steel ball is denser than water. While the ice floats, part of the ball's weight is supported by the ice, causing extra water displacement. After melting, the steel ball sinks and displaces only its own volume, which is less water than before. Hence the water level decreases.
Step 3: Glass R — ice cube with air bubble.
The air bubble makes the ice less dense overall. While floating, the ice displaces water equal to its weight, which is more volume than the water produced after melting (because melting releases water but the bubble disappears). Hence the water level decreases.
Final Answer: (C) remains same, decreases, and decreases
The lift per unit span for a spinning circular cylinder in a potential flow is 6 N/m. The free-stream velocity is 30 m/s, and the density of air is 1.225 kg/m\(^3\). The circulation around the cylinder is __________ m\(^2\)/s (rounded off to two decimal places).
In a centrifugal compressor, the eye tip diameter is 10 cm. For a shaft rotational speed of 490 rotations per second, the tangential speed at the inducer tip is _________ m/s (rounded off to one decimal place).
An aircraft is flying at an altitude of 4500 m above sea level, where the ambient pressure, temperature, and density are 57 kPa, 259 K, and 0.777 kg/m\(^3\), respectively. The speed of the aircraft \( V \) is 230 m/s. Gas constant \( R = 287 \, {J/kg/K} \), and specific heat ratio \( \gamma = 1.4 \). If the stagnation pressure is \( p_0 \), and static pressure is \( p \), the value of \[ \frac{p_0 - p}{\frac{1}{2} \rho V^2} \] is __________ (rounded off to two decimal places).



Courage : Bravery :: Yearning :
Select the most appropriate option to complete the analogy.
We __________ tennis in the lawn when it suddenly started to rain.
Select the most appropriate option to complete the above sentence.
A 4 × 4 digital image has pixel intensities (U) as shown in the figure. The number of pixels with \( U \leq 4 \) is:

In the given figure, the numbers associated with the rectangle, triangle, and ellipse are 1, 2, and 3, respectively. Which one among the given options is the most appropriate combination of \( P \), \( Q \), and \( R \)?

A rectangle has a length \(L\) and a width \(W\), where \(L>W\). If the width, \(W\), is increased by 10%, which one of the following statements is correct for all values of \(L\) and \(W\)?
Select the most appropriate option to complete the above sentence.