To determine the duration of the \(E_2\) dose at 50 cm, we need to understand the inverse square law, which applies to the intensity of light. The law states that intensity is inversely proportional to the square of the distance from the source. Thus, if the distance is halved, the intensity increases by a factor of four.
- The given \(E_1\) dose duration is 1 minute (60 seconds) at a distance of 100 cm. Therefore, this dose can be represented as:
\(I_1 = \frac{Dose}{(100)^2}\)
- We need to find the duration \(t_2\) for the \(E_2\) dose at 50 cm distance:
\(I_2 = \frac{Dose}{(50)^2}\)
- According to the inverse square law:
\(I_1 \times t_1 = I_2 \times t_2\)
- Substitute the values and solve for \(t_2\):
\(\frac{1}{(100)^2} \times 60 = \frac{1}{(50)^2} \times t_2\)
- Simplify the equation:
\(\frac{60}{10000} = \frac{t_2}{2500}\)
- Multiply both sides by 2500 to solve for \(t_2\):
\(t_2 = \frac{60 \times 2500}{10000}\)
- Simplify:
\(t_2 = 15 \times 2.5 = 37.5\) seconds
- Therefore, the duration of the \(E_2\) dose at 50 cm is 37.5 seconds.
Thus, the correct answer is 37.5 seconds.
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Important Questions from Mixed Topic (CUET PG)
- Who was the founder of Bolshevik Communist party?
- What is the key guide to statecraft in the realist tradition?
- Chronologically arrange the events in the Cold War period.
A. Berlin Wall is constructed
B. Communist China joins the UN
C. Soviet invasion of Czechoslovakia
D. Berlin Blockade
Choose the correct answer from the options given below: Morgenthau's principles of political realism are:
A. Politics is rooted in permanent and unchanging human nature which is basically self centred, self-regarding and self-interested
B. Politics is an autonomous sphere of action and cannot therefore be reduced to morals
C. International Politics is an arena of conflicting self-interests
D. The ethics of international relations is situational ethics which is very different from private morality
Choose the correct answer from the options given below:Who among the following political thinkers consider the anarchical self help system to be a compelling factor for States to maximise their relative power positions?
