HSC Science (General) 11th Standard - Maharashtra State Board Question Bank Solutions

Answer the following question.

Define the critical angle of incidence and obtain an expression for it.

Describe the construction and working of an optical fibre.

Answer the following question.

What are the advantages of optical fibre communication over electronic communication?

Answer the following question.

Why is prism binoculars preferred over traditional binoculars? Describe its working in brief.

Solve Numerical example.

A monochromatic ray of light is incident at 37° on an equilateral prism of refractive index 3/2. Determine angle of emergence and angle of deviation. If angle of prism is adjustable, what should its value be for emergent rays to be just possible for the same angle of incidence?

Solve Numerical example.

From the given data set, determine angular dispersion by the prism and dispersive power of its material for extreme colours. n_R = 1.62 n_V = 1.66, δ_R = 3.1°

Answer the following question.

Show that `vec"a" = (hat"i" - hat"j")/sqrt2` is a unit vector.

Answer the following question.

If `vec"v"_1 = 3hat"i" + 4hat"j" + hat"k" and vec"v"_2 = hat"i" - hat"j" - hat"k"`, determine the magnitude of `vec"v"_1 + vec"v"_2`.

For `vec v_1 = 2 hat i - 3 hat j` and `vec v_2 = -6hat i + 5 hat j`, determine the magnitude and direction of `vec v_1 + vec v_2`.

Find a vector which is parallel to `vec"v" = hat"i" - 2hat"j"` and has a magnitude 10.

Show that vectors `vec a = 2 hat i + 5 hat j - 6 hat k` and `vec b = hat i + 5/2 hat j - 3 hat k` are parallel.

Determine `veca xx vecb`, given `veca = 2hati + 3hatj and vecb = 3hati + 5hatj`.

Define a unit charge.

What is relative permittivity?

Solve numerical example.

Three equal charges of 10×10^-8 C respectively, each located at the corners of a right triangle whose sides are 15 cm, 20 cm, and 25cm respectively. Find the force exerted on the charge located at the 90° angle.

Solve the following problem.

Three resistors 10 Ω, 20 Ω, and 30 Ω are connected in series combinations.

1. Find the equivalent resistance of series combination.
2. When this series combination is connected to 12V supply, by neglecting the value of internal resistance, obtain potential difference across each resistor.

Solve the following problem.

Two resistors 1 kΩ and 2 kΩ are connected in parallel combination.

1. Find equivalent resistance of parallel combination
2. When this parallel combination is connected to 9 V supply, by neglecting internal resistance calculate current through each resistor.

Solve the following problem.

Find the value of resistance for the following colour code.

Blue Green Red Gold

Solve the following problem.

Find the value of resistance for the following colour code.

Brown Black Red Silver

Solve the following problem.

Find the value of resistance for the following colour code.

Red Red Orange Gold