Number 33 apparently the answer is 4 but i have no idea why

It would help if you managed to capture the whole question and all the answer choices
in the picture. Fortunately, you caught the whole question in the picture of #32.

Tools you need in order to answer this one:
-- When the frequency of a wave goes up, the wavelength gets shorter. 
(That's why the high numbers on a radio receiver are called 'short-wave'.)
-- Photons with higher frequency carry more energy.
(That's why x-rays and gamma rays are dangerous to our delicate human tissues.)

Do you remember hearing these things in class ?

Anyway, as the frequency of the photons increases,  their
energy increases, and their wavelengths get shorter.

I hope that's one of the choices that escaped getting caught in the photo.

Because the sun is the biggest and if the sun orbits the earth we will be dead probably

Answer: a charge of -1.0  × 10⁻⁴ c must be placed  at x = 26 m.the sign of the charge will be the same sign as the  -4.0  µc charge.======electricstatic force between two point charges  is given by    where k is coulomb's constant,  8.99×10⁹  n·m²/c², q₁ and q₂ are the point charges, and r is the distance between the two point charges.assign positive to q₁let q₁ =  6.0 µc, q₂ = -4.0  µc, q₀ represent the charge at the origin, and q₃ represent this new charge to place.the charge at the origin q₀ would experience the following force f₀₁ from q₁, with r = 6.0 m (note that 1  µc = 10⁻⁶ c)    the force from q₂    the force from q₃    the net force on the origin charge, q₀, has to be zero for no electrostatic forcehaving an equation where k and q₀ can be divided out of the equation will allow us to solve for q₃    isolating:     a charge of -1.0  × 10⁻⁴ c must be placed  at x = 26 m.the sign of the charge will be the same as the  -4.0  µc charge