# HOLIDAY HOMEWORK (2016-2017) CLASS- XI ( SCIENCE) HOMEWORK (2016-2017) CLASS- XI ( SCIENCE) ENGLISH Q1. Read the novel “The anterville Ghost “at home write its summary in your classwork note book

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• HOLIDAY HOMEWORK (2016-2017)

CLASS- XI ( SCIENCE)

ENGLISH

Q1. Read the novel The Canterville Ghost at home &write its summary in your

classwork note book .

Q2. Name the character of Canterville Ghost and draw the character sketch of :-

1. The ghost

2. Virginia

3. Mr& Mrs. Otis

4. Star and Strips (twins )

Q3. Describe the funeral of Sir Simon ?

Q4 . Why did Mr. Otis request to Lord Canterville to accept the jewels ? What was

Q5. Give a twist to the end of the novel and write the end in your own words ?

Q7. Write an Article on Depletion of The Earth and its Resource in context to

the chapter The Ailing Planet

Q8 construct a story on the following sketches :-

• Maths

Q1. Which of the followings are sets ?

(i) The collection of all students of your class

(ii) The collection of all short boys of your class

(iii) The collection of all plants of solar system.

(iv) The collection of five most talented writers of India.

(v) The collection of all good athletes of India.

(vi) The collection of fat boys of your locality.

Q2. Let A = { 2, 4, 6, 8, 10 } insert the symbol or

(i) 6 A

(ii) 1 A

(iii) 5 A

(iv) 10 A

(v) 2 A

(vi) 3 A

(vii) A

Q3. Write in roster form

(i) A = { x : R and x2 5x + 6 = 0 }

(ii) B = { x : Z+ and x2 = x }

(iii) C = { x : N , x is a multiple of 5 and x2 < 400 }

(iv) D = { x : x is perfect square and x < 50 }

Q4. Write in set Builder form.

(i) A = { 1, 3, 32, 33, }

(ii) B = { 2, 1, 0, 1, 2 }

(iii) C = { 1, 2, 3, 4, 6, 8, 12, 24 }

(iv) D = 1,1

2,

1

3,

1

4,

1

5

Q5. Which of following set is empty Set.

(i) A = { x N : 2x + 5 = 6 }

(ii) B = { x : x N , 1 < x < 2 }

• (iii) C = { x : x is prime, 90 < x < 96}

(iv) D = { x : N , x2 + 4 = 0 }

Q6. Which of the following are pairs of equal Sets.

(i) A = { x : set of letters of word ALLOY }

B = { x : set of letters of word LOYAL }

(ii) C = { x : Z , x2 4 }

D = { x : Z , x2 4 = 0 }

(iii) E = { x : Z , x 3 = 0 }

F = { x : Z , x2 9 = 0 }

(iv) G = { 1 , 1 }

H = { x : Z , x2 1 = 0 }

Q7. Which of the following are pairs of equivalent sets.

(i) A = { 1, 2, 3 } , B = { 2, 4, 6 }

(ii) P = { 0 } , =

(iii) C = { 2, 1, 0 } , D = { 1, 2, 3 }

(iv) E = { x : N , x < 3 }

F = { x : W , x < 3 }

Q8. Write all the subsets of the following .

(i) A = { 3 }

(ii) B = { 2, 5 }

(iii) C = { 3, 0, 3 }

(iv) D = { a , b }

(v) E =

(vi) F = { 2, { 3 } }

(vii) G = { 5 , { 7 , 8 } }

Q9. Express each of the following sets an interval.

(i) A = { x : R , 4 < x < 0 }

• (ii) A = { x : R , 0 x < 3 }

(iii) B = { x : R , 2 < x 6 }

(iv) C = { x : R , 5 x 2 }

Q10. Write each of the following in set builder form.

(i) A = ] 2 , 3 ]

(ii) B = [ 5 , 9 ]

(iii) C = ] 8 , 11 [

(iv) D = [ 0 , 4 [

(v) E = [ 4 , 9 [

Q11. If A = { 3 , { 4 , 5 } , 6 } . which one is true.

(i) { 4 , 5 } A

(ii) 4 A

(iii) A

(iv) { 4 , 5 } A

(v) { 3 } A

(vi) { 3 , 4 , 5 } A

(vii) { { 4 , 5 } } A

(viii) { } A

Q12. If A = { a , b , c , d , e , f } , B = { c , e , g , h } and C = { a , e , m , n } . find. all of following

when = set of all alphabets.

(i) ( A B ) C

(ii) ( A B ) ( B C )

(iii) ( A B ) C

(iv) ( A B )

(v) A ( B C )

(vi) ( A B ) ( B A )

(vii) A ( B C )

(viii) ( A C )

(ix) ( A B )

• (x) ( B C )

Q13. Draw Venn diagrams to represents of sets

(i) A B

(ii) A ( B C )

(iii) A B

(iv) B A

(v) A ( B C )

(vi) ( A C ) ( B C )

(vii) ( A B )

(viii) B A

Q14. In a survey of 100 students, the number of students studying the various languages

is found as : English only 18, English but not Hindi 23, English and Sanskrit 8, Sanskrit

and Hindi 8, English 26, Sanskrit 48 and no language 24. Find

(i) no. of Hindi

(ii) no. of English and Hindi both.

Q15. In a class of 35 students, 15 study Economics, 22 study Business Studies and 14

study Advance Accountancy. If 11 students study both Economics and Business studies,

8 study both Business studies and Advanced Accountancy and 5 study both Economics

and Advanced Accountancy and if 3 study all the three subjects. Find how many

students of the class are not taking any of these subjects.

Q16. Prove that

(i) ( A B ) C = A ( B C )

(ii) A ( B A ) =

(iii) ( A B ) B =

(iv) A B = B A

(v) A ( B C ) = ( A B ) ( A C )

• PHYSICS

EXERCISE-1 (OBJECTIVE QUESTIONS)

Q.1 In the S.I. system, the unit of temperature is-

(C) degree Celsius (D) degree Fahrenheit

Q.2 In the S.I. system the unit of energy is-

(A) erg (B) calorie (C) joule (D) electron volt

Q.3 The dimensions of the ratio of angular momentum to linear momentum is

(A) [M0LT0] (B) [MLT1] (C) [ML2T1] (D) [M1L1T1]

Q.4 If Force = (x/density) +C is dimensionally correct, the dimension of x are -

(A)MLT2 (B) MLT3 (C) ML2T3 (D)M2L2T2

Q.5 The dimensional formula for angular momentum is -

(A)ML2T2 (B) ML2T1 (C) MLT1 (D) M0L2T2

Q.6 For 10 , the dimension of a is-

(A)M0 L0 T0 (B)M0 L0 T1 (C) M0 L0 T1 (D)None of these

Q.7 The velocity of a moving particle depends upon time t as v=at + . Then

dimensional formula for b is -

(A) [M0 L0 T0] (B) [M0 L1 T0] (C) [M0 L1 T1 ] (D) [M0 L1 T2]

Q.8 The pairs having same dimensional formula -

(A)Angular momentum, torque

(B)Torque ,work

(C) Plank's constant, boltzman's constant

(D)Gas constant, pressure

• Q.9 If F = ax + bt + c where F is force, x is distance and t is time. Then what is

dimension of ?

(A) [M L2 T2] (B) [M L T2] (C) [M0 L0 T0] (D) [M L T1]

Q.10 If force, time and velocity are treated as fundamental quantities then

dimensional formula of energy will be

(A) [FTV] (B) [FT2V] (C) [FTV2] (D) [FT2V2]

Q.11 Which of the following physical quantities do not have the same dimensions

(A) Pressure,Yongs modulus, stress (B)Electromotive force, voltage, potential

(C)Heat ,Work, Energy (D)Electric dipole, electric field, flux

EXERCISE-2 (Miscellaneous Exercise)

Q.1 Taking force, length and time to be the fundamental quantities find the

dimensions of

(I)Density (II) Pressure (III) Momentum and (IV) Energy

Q.2 The frequency of vibration of a string depends on the length L between the

nodes, the tension F in the string and its mass per unit length m. Guess the

expression for its frequency from dimensional analysis.

Q.3 The intensity ofX-rays decreases exponentially according to the law ,where is the initial intensity of X-rays and I is the intensity after it penetrates a distance x through lead. If be the absorption coefficient, then find the dimensional formula for . Q.4 Find the dimensions of Planck's constant h fromthe equation E = h where E

is the energy and is the frequency.

Q.5 If the velocity of light (c), gravitational constant (G) and the Plancks constant

(h) are selected as the fundamental units, find the dimensional formulae for mass,

length and time in this new system of units.

Q.6 The distance moved by a particle in time from centre of ring under the

influence of its gravity is given by

• x = asin where a and are constants. If is found to depend on the radius of the ring (r), itsmass (m) and universal gravitation constant (G), find using

dimensional analysis an expression for interms of r,m and G.

Q.9 A particle is in a uni-directional potential field where the potential energy(U)

of a particle depends on the x-coordinate given by U = k(1 cosax) and k and a

are constants. Find the physical dimensions of a and k.

Q.10 Consider a planet of mass (m), revolving round the sun. The time period (T)

of revolution of the planet depends upon the radius of the orbit (r),mass of the sun

(M) and the gravitational constant (G). Using dimensional analysis, verify Keplers

third law of planetary motion.

EXERCISE-3 (passage based)

PASSAGE (1 to 5)

The van-der Waals equation iswhere P is pressure,V is molar volume and T is the

temperature of the given sample of gas .R is called molar gas constant, a and b are

called van-der Wall constants.

Q.1 The dimensional formula for b is same as that for

(A) P (B)V (C) PV (D)RT

Q.2 The dimensional formula for a is same as that for

(A)V (B) P (C) PV (D)RT

Q.3 Which of the following does not possess the same dimensional formula as that

for RT

(A) PV (B) Pb (C) a/V (D) ab/V

Q.4 The dimensional formula for ab/RTis

(A)M L T (B)M L T (C) M L T (D)M L T

• Q5 The dimensional formula of RT is same as that of

(A) energy (B) force (C) spec

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