A rectangular loop (area = 0.250 m 2) turns in a uniform magnetic field with B = 0.210 T. At an instant when the angle between the magnetic field and the normal to the plane of the loop is π/2 rads and increasing at the rate of 0.530 rad/s, what is the magnitude of the emf induced in the loop?

0.0525 V

Explanation:

Given,

area of the loop, A = 0.250 m²

Magnetic field, B = 0.210 T

θ= 90°

angular speed,ω = 0.530 rad/s

Using emf expression

E = NBAω sin θ

E = 1 x 0.250 x 0.210 x sin 90°

E = 0.0525 V

The emf induced in the loop is equal to 0.0525 V.

you'd use the equation that establishes a relationship between  energy  and  wavelength, which looks like this

e=h⋅cλ, where

λ  - the wavelength of the photon; c  - the speed of light, usually given as  3⋅108m/s; h  -  planck's constant, equal to  6.626⋅10−34j s

plug the value you were given for the energy of the photon in the above equation to get the wavelength

e=h⋅cλ⇒λ=h⋅ce

λ=6.626⋅10−34js⋅3⋅108ms−1.257⋅10−24j=1.581⋅10−1m