If the length and time period of an oscillating pendulum have errors of 1% and 3% respectively then the error in measurement of acceleration due to gravity is

An object is dropped in an unknown planet from height 50 m, it reaches the ground in 2 s. The acceleration due to gravity in this unknown planet is

A butterfly and stone (mass of later is greater than earlier) is moving with same velocity. Momentum of the stone is____________ than the momentum of butterfly.

Force acting on the particle moving with constant speed is

If the potential energy of the particle is \(\alpha -\frac { \beta }{ 2 } { x }^{ 2 }\), then force experienced by the particle is

A round object of mass M and radius R rolls down without slipping along an inclined plane. The fractional force, 

Analogue of mass in rotational motion is ___________.

The magnitude of the Sun’s gravitational field as experienced by Earth is

For a given material, the rigidity modulus is \(\left( \frac { 1 }{ 3 } \right) \)^rd of Young’s modulus. Its Poisson’s ratio is

Amount of energy required to change liquid to gas and vice versa without any change in temperature is termed as __________________.

A hot cup of coffee is kept on the table. After some time it attains a thermal equilibrium with the surroundings. By considering the air molecules in the room as a thermodynamic system, which of the following is true

An ideal gas is maintained at constant pressure. If the temperature of an ideal gas increases from 100K to 1000K then the rms speed of the gas molecules

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

What is time period of a pendulum hanged in a satellite? (T is time period on earth)

An air column in a pipe which is closed at one end, will be in resonance with the vibrating body of frequency 83Hz. Then the length of the air column is

In an ocean surveillance system of ship fitted with a (RADAR), the time delay between generation of a radio waves reflected from an enemy ship is observed to be 5.6s. Calculate the distance of the enemy ship from the surveillance ship.

A particle is projected at an angle of θ with respect to the horizontal direction. Match the following for the above motion.
(a) v_x - decreases and increases
(b) v_y - remains constant
(c) Acceleration - varies
(d) Position vector - remains downward

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

If energy is neither created nor destroyed, what happens to the so much energy spent against friction?

A small particle of mass m is projected with an initial velocity v at an angle \(\theta\) with x-axis in X-Y plane as shown in Figure.

Find the angular momentum of the particle.

What do you mean by capillarity or capillary action?

In a petrol engine, (internal combustion engine) air at atmospheric pressure and temperature of 20°C is compressed in the cylinder by the piston to 1/8 of its original volume. Calculate the temperature of the compressed air. (For air \(\gamma \) = 1.4)

What is meant by periodic and nonperiodic motion? Give any two examples, for each motion.

What is Echo?

The vernier scale of a travelling microscope has 50 divisions which coincide with 49 main scale divisions. If each main scale division is 0.5 mm. Calculate the minimum inaccuracy in the measurement of distance.

A person initially at rest starts to walk 2 m towards north, then 1 m towards east, then 5 m towards south and then 3 m towards west. What is the position vector of the person at the end of the trip?

Explain various types of friction. Suggest a few methods to reduce friction.

Which of the two kilowatt hour or electron volt is a bigger unit of energy and by what factor?

Three masses 3 kg, 4 kg and 5 kg are located at the corners of an equilateral triangle of side 1 m. Locate the center of mass of the system.

Find the expression of the orbital speed of satellite revolving around the earth.

Two students want to increase the temperature of a gas without adding heat to it. Is it possible to increase the temperature of a gas without adding heat to it?

At what temperature the rms speed of oxygen atom equal to rms speed of helium gas atom at 10°C?
Atomic mass of helium = 4
Atomic mass of oxygen = 32

Two vibrating tuning forks produce waves whose equation is given by y₁ = 5 sin(240\(\pi\)t) and y₂ = 4 sin(244πt). Compute the number of beats per second.