Answer:
3.33 minutes (3 minutes and 20 seconds)
Explanation:
Speed of the runner = s = 5 m/s
We need to calculate how will it take for runner to complete 1 km. We have the speed, the distance and we need to find the time. Before performing any calculations, we must convert the values to same units.
Speed is in m/s and distance is in kilometers. So we have to either convert speed to km/s or distance into meters. In this case, converting distance into meters would be a convenient option.
1 kilo meters = 1000 meters
The distance, speed and time are related by the equation:
Distance = Speed x Time
So,
Time = Distance/Speed
Using the values, we get:
t = 1000/5
t = 200 seconds
This means, the runner can complete 1 kilometers in 200 seconds. Since, there are 60 seconds in a minute, we can convert this time to minutes, by dividing it by 60. i.e.

Thus, it will take the runner 3.33 minutes (3 minutes and 20 seconds) to travel 1 km.
Answer:
The angle of refraction for the ray moving through the liquid is = 32.3°
Explanation:
Refractive index of liquid (n₁/n₂) = sini/sinr
∴ n₁/n₂ = sini/sinr ................ equation 1
n₁ = index of refraction for glass, n₂ = index of refraction for liquid
Where i = incident angle of the first medium, r = angle of refraction or angle in the second medium.
Since the light ray is traveling from glass - to - liquid, the first medium is glass and the second medium is liquid. and the refractive index will be that liquid with respect to glass.
using the equation,
n₁/n₂ = sini/sinr
i = 35° , n₁ = 1.52, n₂= 1.63
Making sinr the subject of the equation above,
sinr = sini/(n₁/n₂)
sinr = sin35(1.52)/1.63
sinr =0.574(1.52)/1.63
sinr = 0.535
Taking the sin inverse of both side of the equation
sin⁻¹(sinr) = sin⁻¹(0.535)
∴ r = 32.3°
The angle of refraction for the ray moving through the liquid is = 32.3°
The right option is (b). 32.3°
Answer:
The change in momentum of the ball is 24 kg-m/s
Explanation:
It is given that,
Mass of the ball, m = 1 kg
Initial velocity of the ball, u = -12 m/s (in downwards)
Final velocity of the ball, v = +12 m/s (in upward)
We need to find the change in momentum of the ball.
Initial momentum of the ball, 
Final momentum of the ball, 
Change in momentum of the ball, 

So, the change in momentum of the ball is 24 kg-m/s. Hence, this is the required solution.
The hottest would be the O type and the coolest is M