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# Important Questions for HSC Science (General) 11th - Maharashtra State Board

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A card from a pack of 52 playing cards is lost. From the remaining cards of the pack three cards are drawn at random (without replacement) and are found to be all spades. Find the probability of the lost card being a spade.

Appears in 3 question papers
Chapter:  Probability
Concept: Independent Events

What is space wave propagation?

Appears in 2 question papers
Chapter:  Electromagnetic Waves
Concept: Propagation of Electromagnetic Waves

If A =  ([cos alpha, sin alpha],[-sinalpha, cos alpha]) , find α satisfying 0 < α < pi/rwhen A+A^T=sqrt2I_2 where AT is transpose of A.

Appears in 1 question paper
Chapter:  Matrices
Concept: Operations on Matrices > Addition of Matrices

Solve the equations x + y = 4 and 2x - y = 5 using the method of reduction.

Appears in 1 question paper
Chapter:  Matrices
Concept: Introduction of Matrices

If A = [(1,2,3), (2,k,2), (5,7,3)] is a singular matrix then find the value of 'k'.

Appears in 1 question paper
Chapter:  Matrices
Concept: Introduction of Matrices

If A = [(7,1), (2,5)] and B = [(1,2), (3,-1)] then verify that |AB| = |A|  |B|.

Appears in 1 question paper
Chapter:  Matrices
Concept: Introduction of Matrices

Express the truth of each of the following statements by Venn diagram:

(a) Some hardworking students are obedient.

(b) No circles are polygons.

(c) All teachers are scholars and scholars are teachers.

Appears in 1 question paper
Chapter: [12.01] Set
Concept: Venn Diagrams

If the function f : R → R be defined by f(x) = 2x − 3 and g : R → R by g(x) = x3 + 5, then find the value of (fog)−1 (x).

Appears in 1 question paper
Chapter: [12.03] Functions
Concept: Composition of Functions and Invertible Function

An insurance agent insures lives of 5 men, all of the same age and in good health. The probability that a man of this age will survive the next 30 years is known to be 2/3 . Find the probability that in the next 30 years at most 3 men will survive.

Appears in 1 question paper
Chapter:  Probability
Concept: Conditional Probability

Suppose that 80% of all families own a television set. If 5 families are interviewed at  random, find the probability that
a. three families own a television set.
b. at least two families own a television set.

Appears in 1 question paper
Chapter:  Probability
Concept: Conditional Probability

Obtain an expression for torque acting on a rotating body with constant angular acceleration. Hence state the dimensions and SI unit of torque.

Appears in 1 question paper
Chapter:  Force
Concept: Torque and Angular Momentum

The distance between two bodies is doubled. How is the magnitude of the gravitational force between them affected?

Appears in 1 question paper
Chapter:  Force
Concept: Centre of Gravity

Define emissive power and coefficient of emmision of a body.

Appears in 1 question paper
Chapter:  Thermal Properties of Matter
Concept: Temperature and Heat

A metal sphere cools at the rate of 4°C / min. when its temperature is 50°C. Find its rate of cooling at 45°C if the temperature of surroundings is 25°C.

Appears in 1 question paper
Chapter:  Thermal Properties of Matter
Concept: Temperature and Heat

Two copper spheres of radii 6 cm and 12 cm respectively are suspended in an evacuated enclosure. Each of them are at a temperature 15°C above the surroundings. The ratio of their rate of loss of heat is.................

1. 2:1
2. 1:4
3. 1:8
4. 8:1
Appears in 1 question paper
Chapter:  Thermal Properties of Matter
Concept: Temperature and Heat

The dimensions of emissive power are

Appears in 1 question paper
Chapter:  Thermal Properties of Matter
Concept: Temperature and Heat

A pinhole is made in a hollow sphere of radius 5 cm whose inner wall is at temperature 727oC. Find the power radiated per unit area. [Stefan’s constant σ = 5.7 x 10-8 J/m2 s K4 , emissivity (e) = 0.2]

Appears in 1 question paper
Chapter:  Thermal Properties of Matter
Concept: Temperature and Heat

Compute the temperature at which the r.m.s. speed of nitrogen molecules is 832 m/s. [Universal gas constant, R = 8320 J/k mole K, molecular weight of nitrogen = 28.]

Appears in 1 question paper
Chapter:  Thermal Properties of Matter
Concept: Temperature and Heat

The light from the Sun is found to have a maximum intensity near the wavelength of 470 nm. Assuming the surface of the Sun as a black body, the temperature of the Sun is .................

[Wien's constant b = 2 .898 x l0- 3mK]

(a) 5800 K

(b) 6050 K

(c) 6166 K

(d) 6500 K

Appears in 1 question paper
Chapter:  Thermal Properties of Matter
Concept: Temperature and Heat

A metal ball cools from 64 °C to 50 °C in 10 minutes and to 42 °C in next 10 minutes. The ratio of rates of fall of temperature during the two intervals is _______.

Appears in 1 question paper
Chapter:  Thermal Properties of Matter
Concept: Temperature and Heat
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