It might be a or d not too sure though
Answer:
4.7 x 10³ rad / s
Explanation:
During the time light goes and comes back , one slot is replaced by next slot while rotating before the light source
Time taken by light to travel a distance of 2 x 500 m is
= (2 x 500) / 3 x 10⁸
= 3.333 x 10⁻⁶ s .
In this time period, two consecutive slots come before the source of light one after another by rotation. There are 400 slots so time taken to make one rotation
= 3.333 x 10⁻⁶ x 400
= 13.33 x 10⁻⁴ s
This is the time period so
T = 13.33 X 10⁻⁴
Angular speed
= 2π / T
= 
4.7 x 10³ rad / s
Heat required to change the phase of ice is given by
Q = m* L
here
m = mass of ice
L = latent heat of fusion
now we have
m = 45 kg
L = 334 KJ/kg
now by using above formula


In KJ we can convert this as

so the correct answer is D option
Answer:
The value is 
Explanation:
From the question we are told that
The depth of the mountain is
Generally the velocity of the surface wave is mathematically represented as
=>
=> 
Generally using the Froude number is mathematically represented as

Here V is the velocity of the current
Given that the waves do not travel upstream, then the flow of the current is supercritical which means that

=> 
=> 
Hence the minimum velocity of the current is

This because the velocity of the current is greater velocity of the surface wave , so minimum will be like the lowest possible value of V which is v