HSC Science Class 11 - Tamil Nadu Board of Secondary Education Question Bank Solutions

Estimate the total number of air molecules in a room of a capacity of 25 m³ at a temperature of 27°C.

In a simple harmonic oscillation, the acceleration against displacement for one complete oscillation will be __________.

A particle executing SHM crosses points A and B with the same velocity. Having taken 3 s in passing from A to B, it returns to B after another 3 s. The time period is ____________.

The length of a second’s pendulum on the surface of the Earth is 0.9 m. The length of the same pendulum on the surface of planet X such that the acceleration of the planet X is n times greater than the Earth is

A simple pendulum is suspended from the roof of a school bus which moves in a horizontal direction with an acceleration a, then the time period is

A simple pendulum has a time period T₁. When its point of suspension is moved vertically upwards according to as y = kt², where y is the vertical distance covered and k = 1 ms⁻², its time period becomes T₂. Then, T `"T"_1^2/"T"_2^2` is (g = 10 ms⁻²)

If the inertial mass and gravitational mass of the simple pendulum of length l are not equal, then the time period of the simple pendulum is

Define the time period of simple harmonic motion.

Define the frequency of simple harmonic motion.

What is an epoch?

Write short notes on two springs connected in series.

Write short notes on two springs connected in parallel.

State the laws of the simple pendulum?

What is meant by simple harmonic oscillation? Give examples and explain why every simple harmonic motion is a periodic motion whereas the converse need not be true.

Describe Simple Harmonic Motion as a projection of uniform circular motion.

Consider the Earth as a homogeneous sphere of radius R and a straight hole is bored in it through its centre. Show that a particle dropped into the hole will execute a simple harmonic motion such that its time period is

T = `2π sqrt("R"/"g")`

Consider a simple pendulum of length l = 0.9 m which is properly placed on a trolley rolling down on a inclined plane which is at θ = 45° with the horizontal. Assuming that the inclined plane is frictionless, calculate the time period of oscillation of the simple pendulum.

Consider two simple harmonic motion along the x and y-axis having the same frequencies but different amplitudes as x = A sin (ωt + φ) (along x-axis) and y = B sin ωt (along y-axis). Then show that

`"x"^2/"A"^2 + "y"^2/"B"^2 - (2"xy")/"AB" cos φ = sin^2 φ`

and also discuss the special cases when

1. φ = 0
2. φ = π
3. φ = `π/2`
4. φ = `π/2` and A = B
5. φ = `π/4`

Note: when a particle is subjected to two simple harmonic motions at right angle to each other the particle may move along different paths. Such paths are called Lissajous figures.

Derive an expression for the pressure exerted by a gas on the basis of the kinetic theory of gases.

Define power.