Which one of the following will give thwe distance between r= a+b and r=c+b

a)/(a-c)xb/

b)/c+((a-c).b)b -a/

c)whole root/a-c/² - /(a-c).b/²

d)all three 

a,b,c are vectors

lamda, mu are scalars

please explain all the options

Future space stations may be designed to rotate in order to provide stimulantgravity for their inhabitants. If the distance from the axis of rotation of the station to the outer ring is R=100m what rotation time is necessary to stimulate one half of earth's gravity?

a)36.2s

b)42.6s

c)28.4s

d)20.4s

explain

Beat frequency is defined as

a)difference in frequencies

b)no. of times intensity becomes maximum or minimum in one second

c)average of frequencies

d)both a and b

elaborate

The no. of points at which the function f(x)= /x-0.5/+/x-1/+Tanx doesnt have a derivative in (0,2) is...............

a)1

b)2

c)3

d)4

explain fast

NaA is a salt of weak acid HA its hydrolysis constant value is 10^(-9) When 10ml of 0.1M HA is diluted to 1L the pH of the dilute solution is............

a)3

b)4

c)5

d)6

explain

In which of the following electrodes for each ten fold dilution the increase in oxidayion potential is nearly 20 millivolts?

a)Ag/Ag+

b)Cu/Cu+2

c)Zn/Zn+2

d)Cr/Cr+3

explain

How many primary hydrogen atoms are present in the major product formed in the following reaction

structure of reactant is as follows

1litre of 2.1M HCl solution is taken and 965 amperes of current is passed for 200sec What is the pH of residual solution

a).3010b)2c)1d).1

C6H5OH+[NH3, ZnCl2, heat] gives A

A + CH3COCl gives B

B + HNO3+H2SO4 gives C

C+ H2O gives D

position isomer of D is_______

a)p nitoraniline

b)mnitroaniline

c)sulphanilic acid

d)benezene diazonium chloride

explain

AcOH+SOCl₂ gives A

A + C₆H₆(Anhyd AlCl₃) GIVES B

B+ HCN gives C

C+H₂O gives D

structure of D would be

a)C₆H₅-CH₂-C(COOH)(CH₃)(OH)

b)C₆H₅-C(CN)(CH₃)(OH)

c)C₆H₅-CH₂-C(CN)(CH₃)(OH)

d)C₆H₅-C(COOH)(CH₃)(OH)

 

explain what are A, B C and D

quick please