Question

An ac generator has a maximum emf output of 150 V. What is the rms current in the circuit when the generator is connected to a 35 W resistor? a. 3.1 A c. 1.5 A b. 2.6 A d. 1.2 A

Answer 1

This is an insidious question.  Quite frankly, I would not have
expected to see it here on Brainly.  But I'm ready to play the
cards that you have dealt me.

None of the choices offered is a correct solution.

If the output of the AC generator is nice and sinusoidal, and
its maximum (peak) emf is 150 volts, then its RMS emf is

                             (1/2) (150) (√2)  =  106.07 volts.

The resistor's dissipation is   

                             Power = (current) x (voltage) .

If the resistor is dissipating its full rated 35W, then

                       35W  =  (current) x (106.07 V)

Divide each side by 106.07 V:   

           RMS Current =  (35W) / (106.07 V)  =  0.33 Ampere .
_________________________________________

Looking over the choices offered . . . 

The largest choice ... 3.1 A ... is the current in a resistor
that is dissipating 35W if the voltage is

                           (35W / 3.1A)  =  11.29 volts .

The smallest choice ... 1.2 A ... is the current in a resistor
that is dissipating 35W if the voltage is

                           (35W / 1.2A)  =  29.17 volts .

Whatever you meant the so-called "150 V" of the generator
to represent ... whether the RMS sinusoidal, peak sinusoidal,
peak square-wave, RMS square-wave, DC, average, etc. ...
none of the choices for current, in combination with any of these
generators, would dissipate 35W.