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

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

Solve the following problem.

Find the value of resistance for the following colour code.

Orange White Red Gold

Find the value of resistance for the following colour code.

Yellow Violet Brown Silver

Solve the following problem.

Find the colour code for the following value of resistor having tolerance ± 10%

330 Ω

Solve the following problem.

Find the colour code for the following value of resistor having tolerance ± 10%

100 Ω

Solve the following problem.

Find the colour code for the following value of resistor having tolerance ± 10%

47 kΩ

Solve the following problem.

Find the colour code for the following value of resistor having tolerance ± 10%

160 Ω

Solve the following problem.

Find the colour code for the following value of resistor having tolerance ± 10%

1 KΩ

Choose the correct option.

Current through a reverse-biased p-n junction increases abruptly at: