HSC Science (Computer Science) 11th Standard - Maharashtra State Board Question Bank Solutions for Physics

Solve the numerical problem.

The speed of light is 3 × 10⁸ m/s. Calculate the frequency of red light of a wavelength of 6.5 × 10⁻⁷ m.

Calculate the wavelength of a microwave of a frequency of 8.0 GHz.

Write the answer of the question with reference to laws of gravitation.

State the universal law of gravitation.

Answer the following question.

What are the dimensions of the universal gravitational constant?

Answer the following question.

State Newton’s law of gravitation and express it in vector form.

What do you mean by a gravitational constant?

Solve the following problem.

Find the gravitational force between the Sun and the Earth.
Given Mass of the Sun = 1.99 × 10³⁰ kg
Mass of the Earth = 5.98 × 10²⁴ kg
The average distance between the Earth and the Sun = 1.5 × 10¹¹ m.

Solve the following problem.

Calculate the acceleration due to gravity at a height of 300 km from the surface of the Earth. (M = 5.98 × 10²⁴ kg, R = 6400 km).

Answer briefly.

What is the effect of pressure on the velocity of sound?

Answer briefly.

What is the effect of humidity of air on velocity of sound?

What is the limitation of Newton's formula for velocity of sound?

At what temperature will the speed of sound in the air be 1.75 times its speed at S.T.P?

Solve the following problem.

If the velocity of sound in air at a given place on two different days of a given week are in the ratio of 1:1.1. Assuming the temperatures on the two days to be same what quantitative conclusion can your draw about the condition on the two days?

Answer the following question in brief.

What could be the equation for Gauss' law of magnetism, if a monopole of pole strength p is enclosed by a surface?

Answer the following question in detail.

Explain Gauss's law for magnetic fields.

Answer the following question.

What are the dimensions of the quantity `lsqrt(l//g)`, l being the length, and g the acceleration due to gravity?

Derive the formula of the kinetic energy of a particle having mass ‘m’ and velocity ‘v’, using dimensional analysis.

An electron with charge e enters a uniform magnetic field `vec"B"` with a velocity `vec"v"`. The velocity is perpendicular to the magnetic field. The force on the charge is given by `|vec"F"|`= B e v. 
Obtain the dimensions of `vec"B"`.

An object is falling freely under gravitational force. Its velocity after travelling a distance h is v. If v depends upon gravitational acceleration g and distance, prove with the dimensional analysis that v = k`sqrt"gh"` where k is a constant.

v = `at + b/(t + c) + "v"_0` is a dimensionally valid equation. Obtain the dimensional formula for a, b and c where v is velocity, t is time and v₀ is initial velocity.