Answer:
Magnetic field will be equal to
![B=3* 10^(-5)T](https://img.qammunity.org/2021/formulas/physics/college/exardtbk70lq9j1znnd5lrtz5g8evpavxg.png)
Step-by-step explanation:
We have given velocity of proton
![5* 10^7m/sec](https://img.qammunity.org/2021/formulas/physics/college/2rtb3o31nj2fqoy77w0b26tufeg9dvz89u.png)
Magnetic force experienced by proton
![F=1.7* 10^(-16)N](https://img.qammunity.org/2021/formulas/physics/college/nuk7uv6yuw1hwhdfcz2eb1aj76rhjdugdw.png)
Charge on proton
![q=1.6* 10^(-19)C](https://img.qammunity.org/2021/formulas/physics/college/2ih1t3stw0slt6yr6yol1lmog5s81jbpj8.png)
Angle between field and velocity
![\Theta =45^(\circ)](https://img.qammunity.org/2021/formulas/physics/college/n6zrecvl6idy7lm9oti6sasx5zvds9wyqf.png)
Force in magnetic field is equal to
![F=qBVsin\Theta](https://img.qammunity.org/2021/formulas/physics/college/jvosokq01154gqre6s7rhl4zpn4atnrmy5.png)
So
![1.7* 10^(-16)=1.6* 10^(-19)* 5* 10^7* B* sin45^(\circ)](https://img.qammunity.org/2021/formulas/physics/college/2te3gvs1qmi44jzvp4hkhhvefet8jy06gc.png)
![B=3* 10^(-5)T](https://img.qammunity.org/2021/formulas/physics/college/exardtbk70lq9j1znnd5lrtz5g8evpavxg.png)
So magnetic field will be equal to
![B=3* 10^(-5)T](https://img.qammunity.org/2021/formulas/physics/college/exardtbk70lq9j1znnd5lrtz5g8evpavxg.png)