The radius of the circle is 3.12 m. Calculate the area of the circle with regard to significant figures.

Show that a screw gauge of pitch 1mm and 100 divisions is more precise than a vernier caliper with 20 divisions on the sliding scale.

Having all units in atomic standards is more useful. Explain.

What are the steps involved in scientific method?

From a point on the ground, the top of a tree is seen to have an angle of elevation 60^o . The distance between the tree and a point is 50m. calculate the height of the tree?

State the number of significant figures in the following 600800

State the number of significant figures in the following 2.65 \(\times\)10²⁴m

Define a vector. Give examples.

Write a short note on vector product between two vectors.

Calculate the average velocity of the particle whose position vector changes from \(\overrightarrow { { r }_{ 1 } } =5\hat { i } +6\hat { j } \) to \(\overrightarrow { { r }_{ 2 } } =2\hat { i } +3\hat { j } \)  in a time 5 second.

Compare the components for the following vector equations
(a) \(T\overrightarrow { j } -mg\hat { j } =ma\hat { j } \)
(b) \(\vec { T } +\vec { F } =\vec { A } +\vec { B } \)
(c) \(\overrightarrow { T } -\overrightarrow { F } =\overrightarrow { A } -\overrightarrow { B } \)
(d) \(T\overrightarrow { j } +mg\hat { j } =ma\hat { j } \)

The Moon is orbiting the Earth approximately once in 27 days, what is the angle transversed by the Moon per day?

Compare the components of vector equation \(\vec F_1+\vec F_2+\vec F_3=\vec F_4\)

Why it is not possible to push a car from inside?

Why does a parachute descend slowly?

Can we predict the direction of motion of a body from the direction of force on it?

What is the reading shown in spring balance?
 

Apply Lami's theorem on sling shot and calculate the tension in each string?

A body of mass 100 kg is moving with an acceleration of 50 cm s^-2. Calculate the force experienced by it.

Write the various types of potential energy. Explain the formulae.

Explain the characteristics of elastic and inelastic collision.

Calculate the work done by a force of 30 N in lifting a load of 2kg to a height of 10m (g = 10ms^-2).

A bullet of mass 20 g strikes a pendulum of mass 5 kg. The centre of mass of pendulum rises a vertical distance of 10 cm. If the bullet gets embedded into the pendulum, calculate its initial speed?

Is there any network done by external forces on a car moving with a constant speed along a straight road?

A force \(\vec F=\vec i+2\vec j+3\vec k\) k acts on a particle and displaces it through a distance \(\vec S=4\vec i+6\vec j\). Calculate the work done if force and work done are in the same direction?

Why does a porter bend forward while carrying a sack of rice on his back?

State Kepler’s three laws.

Will the angular momentum of a planet be conserved? Justify your answer.

Define gravitational potential energy.

Define weight.

If the angular momentum of a planet is given by \(\vec{L}=5t^2\hat i-6t\hat j+3\hat k\) . What is the torque experienced by the planet? Will the torque be in the same direction as that of the angular momentum?

Within the elastic limit, the stretching strain produced in wires A, B, and C due to stress is shown in the figure. Assume the load applied are the same and discuss the elastic property of the material.

Write down the elastic modulus in ascending order

State Hooke’s law of elasticity. 

State Pascal’s law in fluids.

Distinguish between streamlined flow and turbulent flow.

Define angle of contact for a given pair of solid and liquid.

Why two holes are made to empty an oil tin?

Obtain an ideal gas law from Boyle’s and Charles’ law.

What is a thermal expansion?

What is meant by ‘thermal equilibrium’?

Define one calorie.

Express the change in internal energy in terms of molar specific heat capacity.

Can the given heat energy be completely converted to work in a cyclic process? If not, when can the heat can completely converted to work?

What is the microscopic origin of pressure?

Define the term degrees of freedom.

Calculate the temperature at which the rms velocity of a gas triples its value at S.T.P. (Standard temperature T₁ = 273K).

What is meant by force constant of a spring?

Write short notes on two springs connected in parallel.

The wavelength of two sine waves are λ₁ = 1m and λ₂ = 6m. Calculate the corresponding wave numbers.

What are longitudinal waves? Give one example.