The resonance frequency of a driven rlc circuit is 1300 hz. a. what is the resonance frequency if the resistance r is doubled?
b. what is the resonance frequency if the inductance l is doubled?
c. what is the resonance frequency if the capacitance c is doubled?
d. what is the resonance frequency if the peak emf e_0 is doubled?
e. what is the resonance frequency if the emf frequency f is doubled?

a) f(R0) = 1000 Hz

b) f(R0) = 707.11 Hz

c) f(R0) = 707.11 Hz

d) f(R0) = 1000 Hz

e) f(R0) = 1000 Hz

Explanation:

Let R be the resistance of the circuit, L be the inductance of the circuit, C be the capacitance of the circuit, E_0 be the peak emf of the circuit, f be the frequency f(R) be initial resonance frequency of the circuit and f(R0) be the new respective resonance frequency in each question.

In an RCL circuit

f(R) = 1/2×π×√LC

a) f(R0) = 1000 Hz

The resonance frequency remains the same as it does not depend of resistance

b) f(R0) = 1/2×π×√2LC

f(R0)/1000 = √L/√2L

f(R0) = 7071 Hz

c) f(R0) = 1/2×π×√L2C

f(R0)/1000 = √C/√2C

f(R0) = 707.11 Hz

d)  f(R0) = 1000 Hz

The resonance frequency remains the same as it does not depend on the emf

e)   f(R0) = 1000 Hz

The resonance frequency remains the same as it does not depend of frequency

  the grams     of oxygen gas   that can be produced     is 20.6   grams of o₂

calculation

2liclo₃ →   2 licl + 3 o₂

step 1:   find the moles of liclo₃

moles = mass÷ molar mass

from periodic table the molar mass of liclo₃ =6.9 +35.5   +(16 x3) =90.4 g/mol

moles=38.7 g÷90.4 g/mol=0.4281   moles

step 2:   use the   mole ratio   to calculate the moles of o2

from equation above, liclo₃: o₂   is 2: 3  

therefore the moles of   o₂=0.4281 moles x3/2 =0.6422   moles

step 3: find mass   of o₂

mass= moles x molar mass

from periodic table the   molar mass of   o₂ = 16 x2= 32 g/mol

mass=0.6422   moles   x   32 g/mol = 20.6 grams of o₂

hello, i am papaguy.

i have found an answer to your question but use it as information.

information: because weak acids/bases have low concentration of hydrogen ions, the addition of water has a large impact on the ph. 2. a difference in 1 unit is a 10x difference in concentration for example; a liquid with ph of 3 is 10x more acidic than a liquid with a ph of 4. therefore, a liquid with a ph of 3 is stronger.

best of luck!