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10. An object is placed at a distance of 4.5 cm to the left of a convex lens A of focal

length 4 cm.

(a) Find the distance from lens A where a screen should be placed to obtain the image.

(b) The screen is removed and the image is used as an object for a diverging lens B of

focal length 2 cm so that a real image is formed at a distance of 8 cm from lens B.

Find the distance between lens A and lens B.


Iron can be extracted from haematite, Fe2O3, using either C or CO2 as the reducing agent.

The reactions are shown below.

Fe2O3(s) + 3 C(s) → 2 Fe(s) + 3 CO(g) ΔH = +492.7 kJ /mol

Fe2O3(s) + 3 CO(g) → 2 Fe(s) + 3 CO2(g) ΔH = - 24.8 kJ/mol

Substance S° (J/ K·mol)

Fe2O3 (s) 87.4

Fe (s) 27.3

C (s) 5.7

CO (g) 197.6

CO2 (g) 213.6


Use available data given to:

1. Calculate the minimum temperature at which reduction with carbon is feasible

2. Prove by calculation that reduction with carbon monoxide is feasible at all temperatures


bunty birthday:

hey!!its bunty bithday

bunty was born on 13 June 2000 he is curious to know ow many people in is locality have their birthdays on the same day,month,year

given buntyBirthday in the prefilled code and a birthdayList as an input, write js program to find the number of people having their birthdays

on the same day

in the same month

in the same year

input:['2000-05-13' , 'June 7 2021' ,'03/24/2000']

output:


1

2

["2011-12-31","2011-02-14",'June 17 1998','12/02/1990','1995-10-23']

o/p:


1



Find the measurement of the angle of refraction using the given illustration.

N

\ |

Air (n=1.00) \ |

\ |

_____________ \ | _____________

Crown |

Glass (n= 1.52) |

|


Differentiation. Find the derivative of the given function. Use quotient rule.



f(x)= (x^-1)/(x+x^-1)

Suppose that in t hours, a truck travels s(t) miles, where s(t)= 10t² . Find the average rate of change of distance with respect to time from t1 = 2 and t2 = 5.

A 76N crate is hung from a spring (k=450 n/m).how much displacement is caused by the weight of this crate



1.1 Prove that the characteristic polynomial of a 2 × 2 matrix A can be expressed as

λ^2 − tr(A)λ + det(A), where tr(A) is the trace of A.


Determine the pH of a 0.20 M NH3 solution.

proper fractions

Given two fractional values A/C ,B/D where A,B are numbers and C,D are denominators you asked to add two fractional values, if the sum gives proper fraction as output print the proper fraction if it is improper ,convert it into a mixed fraction and print it if it is a whole number, print it

the 1st line of input contains two space separeted strings A/C, B/D

input:

1/2 1/4

o/p:

3/4

i/p:

1/2 3/4

o/p:

11/4(that means 1(1/4))

i/p:

1/3 2/3

o/p:

1


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