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If A and B are two given sets, A ∩ (A ∩ B) ᶜ is equal to
Choice (d). is correct. A ∩ (A ∩ B)ᶜ = A ∩ (Aᶜ ∪ Bᶜ) = (A ∩ Aᶜ) U (A ∩ Bᶜ) = ∅ U (A ∩ Bᶜ) = A ∩ Bᶜ This question related to Chapter 1 maths Class 11th NCERT. From the Chapter 1. Sets. Give answer according to your understanding. For more please visit here: https://www.tiwariacademy.com/ncert-solutioRead more
Choice (d). is correct. A ∩ (A ∩ B)ᶜ = A ∩ (Aᶜ ∪ Bᶜ) = (A ∩ Aᶜ) U (A ∩ Bᶜ) = ∅ U (A ∩ Bᶜ) = A ∩ Bᶜ
This question related to Chapter 1 maths Class 11th NCERT. From the Chapter 1. Sets. Give answer according to your understanding.
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A black body at 20 K is found to emit maximum energy at a wavelength 14 µm. When its temperature is raised to 1000K, then wavelength at which maximum energy emitted is
According to Wien's displacement law, the wavelength at which the black body emits maximum energy varies inversely with temperature: λ_max * T = constant Let the initial temperature be 20 K with a wavelength of 14 µm, and the final temperature be 1000 K. Given that using Wien's law, λ₁ * T₁ = λ₂ * TRead more
According to Wien’s displacement law, the wavelength at which the black body emits maximum energy varies inversely with temperature:
λ_max * T = constant
Let the initial temperature be 20 K with a wavelength of 14 µm, and the final temperature be 1000 K. Given that using Wien’s law,
λ₁ * T₁ = λ₂ * T₂
14 µm * 20 K = λ₂ * 1000 K
λ₂ = (14 µm * 20 K) / 1000 K
λ₂ = 280 µm / 1000
λ₂ = 0.28 µm
Thus, the correct answer is: 2.8 µm
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Let Z denote the set of all integers and A = {(a, b) : a² + 3b² = 28, a, b ∈ Z} and B = { (a, b) ∈ A : a > b, a, b ∈ Z}. Then the number of elements in A ∩ B is
Choice (a) is correct. A = {(5,1), (5, -1), (-5, 1), (-5, -1), (4, 2), (-4, 2), (4, -2), (-4, -2), (1, 3), (1, -3), (-1, 3), (-1, -3)} B = {(5, 1), (5, -1), (4, 2), (4, -2), (1, -3), (-1, -3)} A ∩ B = {(5, 1), (5, -1), (4, 2), (4, -2), (1, -3), (-1, -3)} This question related to Chapter 1 maths ClRead more
Choice (a) is correct.
A = {(5,1), (5, -1), (-5, 1), (-5, -1), (4, 2), (-4, 2), (4, -2), (-4, -2), (1, 3), (1, -3), (-1, 3), (-1, -3)}
B = {(5, 1), (5, -1), (4, 2), (4, -2), (1, -3), (-1, -3)}
A ∩ B = {(5, 1), (5, -1), (4, 2), (4, -2), (1, -3), (-1, -3)}
This question related to Chapter 1 maths Class 11th NCERT. From the Chapter 1. Sets. Give answer according to your understanding.
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Rate of cooling at 600 K, if surrounding temperature is 300 K is R.
According to Newton's law of cooling, the rate of cooling is proportional to the difference between the temperature of the object and the surrounding temperature: Rate of cooling = k(T_object - T_surrounding) Let the initial temperature of the object be 600 K and the surrounding temperature be 300 KRead more
According to Newton’s law of cooling, the rate of cooling is proportional to the difference between the temperature of the object and the surrounding temperature:
Rate of cooling = k(T_object – T_surrounding)
Let the initial temperature of the object be 600 K and the surrounding temperature be 300 K. If the rate of cooling at 600 K is R, the rate of cooling at a temperature T is proportional to (T – 300).
For the temperature 600 K, the rate of cooling is:
R = k(600 – 300) = 300k
Now, for the temperature 300 K, the rate of cooling will be zero because the temperature difference is zero.
Thus, the correct answer is: 2 R
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If A = ∅, then the number of elements in P(A) is
Choice (b) is correct. If A = ∅, ∅ is only subset of A = ∅. P(∅) = {∅} = P(A) has only one element. This question related to Chapter 1 maths Class 11th NCERT. From the Chapter 1. Sets. Give answer according to your understanding. For more please visit here: https://www.tiwariacademy.com/ncert-solutiRead more
Choice (b) is correct. If A = ∅, ∅ is only subset of A = ∅. P(∅) = {∅} = P(A) has only one element.
This question related to Chapter 1 maths Class 11th NCERT. From the Chapter 1. Sets. Give answer according to your understanding.
For more please visit here:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-11/maths/#chapter-1