Extra Class Time Table :D

The extra class time table is being as follows:-

                  This time table will continue to be on action until and unless you will be intimated otherwise.

The classes will be till 3:40PM, so everybody is to attend all the classes without fail. No excuses such as Tuitions or Coaching Classes will be ignored.

DAYS	MORNING CLASS                       (assembly time)	EVENING CLASS                    (2:40PM to 3:40PM)
Monday	Chemistry	Maths
Tuesday	Physics	Chemistry
Wednesday	Maths	Physics
Thursday	English	Computer
Friday	Computer	English
Saturday	Physics/Chemistry	Maths/English/Computer

Physics Homework

Q.1. Name the physical quantity having the SI unit as farad/metre.

Q.2. What is the Electric Field inside a charged shell. What is the potential inside it.

Q.3. Is it possible to make a capacitor of capacitance 1 farad.Explain.

Q.4. 75% of distance between the plates of a capacitor is filled with a dielectric material of dielectric constant K. Find change in capacitance of capacitor if the initial and original capacitance was C<sub>0

Q.5. Find V and Q in each capacitor</sub>

              

Q.6. Both cells have internal resistance 1Ω, find the current through the circuit

Due to unavailabilility of a symbol for resistance, I have only given the value, please draw the above in your holiday homework

Q.7. Draw the Van de Graff generator and label it.

Q.8. Any other self made 10 questions.

MATHS HOLIDAY HOMEWORK:- Inverse Trigonometric Functions

Q.1. Find sin^-1(sin(3π/5)).

Q.2. Using principle value, evaluate                                                                                                                cos^-1(cos(2π/3))+sin^{- 1}(sin(2π/3))

Q.3. Evaluate sin^-1(sin(4π/5))

Q.4. Prove that sin^-1(4/5)+sin^-1(5/13)+sin^-1(16/65)=π/3

Q.5. Prove that Tan^-1(√x)=[cos^-1((1-x)/(1+x))]/2, where x€[0,1]

Q.6. Prove that 2Tan^-1(1/2)+Tan^-1(1/7)=Tan^-1(31/17)

Q.7. Prove that Tan^-1x+Tan^-1[2x/(1-x2)]=Tan^-1(3x-x3)/1-3x2]

Q.8. Prove that cos^-1x=sin^-1(1-x)/2)

Q.9. If Tan^-1a+Tan^-1b+Tan^-1c=π, Prove that a+b+c=abc

MATHS HOLIDAY HOMEWORK:- Relations and Functions

1-mark

Q.1.  If f(x)=x+7 and g(x)=x-7, then find fog(7)

Q.2.  Write fog if f:R->R and g:R->R, defind by f(x)=8x³ and      g(x)=x1/3

Q.3.   If * is a Binary Operation on the set Z on integers defined by a*b=a+b-5, then write the identity element of * on Z

2-MARK

Q.4.  Let * be any Binary Operation on Z defined by a*b=(3ab)/5, Show that * is commutative as well as associative. Also find the identity if it exists.

Q.5.  Consider f : [0,π/2]->R defined by f(x)=sinx and g : [0,π/2]->R and g(x)=cos x, Show that f and g are one-one, but f+g is not one-one

Q.6.  Find fog and gof if 

          i) f(x)=[x], and g(x)=sinx

         ii) f(x)=x²+2 and g(x)=1-(1/(1-x))

The last question is not clear, I will sent it to later

The next chapter's holiday homework will posted by me in a day or two. Try to complete this before them.