Q2. Which of the following is the correct equation for the law of radioactive decay? Symbols have th

Q: What is the correct answer for CUET UG Physics Q2?

The correct answer is 2. The law of radioactive decay describes how the number of undecayed nuclei in a sample decreases over time. The correct mathematical equation for this law is N(t) = N₀e^(-λt), where N(t) is the number of nuclei remaining at time t, N₀ is the initial number of nuclei at t=0, e is the base of the natural logarithm, and λ is the decay constant. This constant represents the probability of decay per uni

Q: Q2. Which of the following is the correct equation for the law of radioactive decay? Symbols have their usual meaning. (1) N(t) = Noe-t/x (2) N(t) = Noe-At (3) N(t) = Noe-2/t (4) N(t) = Noe-2At

The correct answer is 2. The law of radioactive decay describes how the number of undecayed nuclei in a sample decreases over time. The correct mathematical equation for this law is N(t) = N₀e^(-λt), where N(t) is the number of nuclei remaining at time t, N₀ is the initial number of nuclei at t=0, e is the base of the natural logarithm, and λ is the decay constant. This constant represents the probability of decay per uni

Q: What are the options for this CUET UG Physics question?

A. N(t) = Noe-t/x · B. N(t) = Noe-At · C. N(t) = Noe-2/t · D. N(t) = Noe-2At

Question

Q2. Which of the following is the correct equation for the law of radioactive decay? Symbols have their usual meaning.
(1) N(t) = Noe-t/x
(2) N(t) = Noe-At
(3) N(t) = Noe-2/t
(4) N(t) = Noe-2At

FirstInTest · Accepted Answer

The law of radioactive decay describes how the number of undecayed nuclei in a sample decreases over time. The correct mathematical equation for this law is N(t) = N₀e^(-λt), where N(t) is the number of nuclei remaining at time t, N₀ is the initial number of nuclei at t=0, e is the base of the natural logarithm, and λ is the decay constant. This constant represents the probability of decay per unit time for a nucleus. Option (2) perfectly matches this standard form. Options (1), (3), and (4) contain incorrect forms or parameters in their exponents, making them scientifically inaccurate.

Answer

N(t) = Noe-t/x

Answer

N(t) = Noe-At

Answer

N(t) = Noe-2/t

Answer

N(t) = Noe-2At

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