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A simple U tube contains mercury to the same level in both of its arms. If water is poured to a height of 13.6 cm in one arm, how much will be the rise in mercury level in other arm? Density of mercury $13.6\times {10}^{3}kg/m^3$ and density of water = $1000kg/m^3$.

In which direction wire A will experience force due to a parallel wire B? (Each wire carries current I in the same direction.)

Another technique adopted by the writer is to use figures of speech such as a simile. A simile is used to express similarity between two things. e.g. He is as fast as lightning. The rain fell heavily on the metal roof like a machine-gun. Similes usually start with 'like' or 'as'.

Find two similes in the last section of the story.

A car starts from Bangalore to Mumbai and returns in 20 hours. What is the average velocity and average speed of the car if the odometer reading of the car when it started was 2200 km and when it finished was 3800 km?

A ball is dropped from rest from a height of $15\text{m}$. What is the time taken for it to reach the ground? Take $g=10\text{m}{\text{s}}^{-2}$.

A car accelerates uniformly from 5m/s to 10m/s in 5 sec a. Calculate the acceleration b. The distance covered by the car in that time

A solid copper sphere (density $\rho$ and specific heat capacity (c) of radius r at an initial temperature 200K is suspended inside a chamber whose walls are at almost 0K. The time required (in $\mu$ s) for the temperature of the sphere to drop to 100 K is

A fielder drags his hands towards him gradually along with the moving ball while taking a catch. What is the reason of this?

A solid circular shaft of diameter $20mm$ is subjected to tensile loads over a gauge length of $100mm$. If the observed elongation of the bar is $1.3cm$, the true strain in the shaft is:

A cube of ice is floating in water contained in a vessel. When the ice melts, the level of water in the vessel

An object is $11km$ below sea level. A ship sends down a sonar signal to confirm how deep the object is. After how long can it expect to get the echo?

(Take the speed of sound in sea water as $1520m{s}^{-1}$.)

Choose the correct option(s) for revolution of moon about earth.
Assume the terms to have their usual meanings.

Match the following:
$\begin{array}{cc}\text{I. Coating solar cooker with black paint}& \text{a. Causes greenhouse effect inside the cooker}\\ \text{II. Concave mirror}& \text{b. Absorbs more heat}\\ \text{III. Glass sheet covering}& \text{c. Converge heat at one point}\end{array}$

A train travels the first 15 km at a uniform speed of 30 km/h; the next 75 km at a uniform speed of 50 km/h; and the last 10 km at a uniform speed of 20 km/h. Calculate the average speed for the entire train journey.

If an object moves with a uniform velocity we can conclude that

The wind blows strongly and causes a lot of destruction. How can we make friends with it?

A beaker is filled with water to its brim. A child while playing drops his ball of mass 1 kg into it and eventually ends up with wetting himself with water. He weighs the water fallen on him and found it to be 1 N. Find the buoyant force experienced by the ball.

A hollow spherical shell at outer radius $R$ floats just submerged under the water surface. The inner radius of the shell is $r$. If the specific gravity of the shell material is $\frac{27}{8}$ w.r.t water, the value of $r$ is:

A boy stands between the two walls and claps his hands as shown below:

If ‘$x$’ is less than $60m$ and the time difference between the first and the second echo is $0.25s$, then calculate the value of ‘$x$’. (Velocity of sound in air is $344m{s}^{-1}$)