Given below are two statements: One is labeled as Assertion (A) and the other is labeled as Reason (R).
Assertion (A):

Houses made of concrete roofs overlaid with foam keep the room hotter during
summer.

Reason (R):

The layer of foam insulation prohibits heat transfer, as it contains air pockets.


In the light of the above statements, choose the correct answer from the options given below:
1. (A) is True but (R) is False.
2. (A) is False but (R) is True.
3. Both (A) and (R) are True but (R) is not the correct explanation of (A).
4. Both (A) and (R) are True and (R) is the correct explanation of (R).

Subtopic:  Conduction |
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A particle executing simple harmonic motion with amplitude \(A\) has the same potential and kinetic energies at the displacement:
1. \(2\sqrt{A}\) 2. \(\dfrac{A}{2}\)
3. \(\dfrac{\mathrm{A}}{\sqrt{2}}\) 4. \(A\sqrt{2}\)
Subtopic:  Energy of SHM |
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Two slits in Young's double slit experiment are \(1.5~\text{mm}\) apart and the screen is placed at a distance of \(1 ~\text m\) from the slits. If the wavelength of light used is \(600\times10^{-9}~\text {m}\) then the fringe separation is:
1. \(4\times10^{-5}~\text m\)
2. \(9\times10^{-8}~\text m\)
3. \(4\times10^{-7}~\text m\)
4. \(4\times10^{-4}~\text m\)
Subtopic:  Young's Double Slit Experiment |
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Water is used as a coolant in a nuclear reactor because of its:
1. high thermal expansion coefficient
2. high specific heat capacity
3. low density
4. low boiling point
Subtopic:  Nuclear Binding Energy |
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The pitch of an error-free screw gauge is \(1~\text{mm},\) and there are \(100\) divisions on the circular scale. While measuring the diameter of a thick wire, the pitch scale reads \(1~\text{mm},\) and \(63^\text{rd}\) division on the circular scale coincides with the reference line. The diameter of the wire is:
1. \(1.63 ~\text{cm}\)
2. \(0.163 ~\text{cm}\)
3. \(0.163~\text m\)
4. \(1.63 ~\text m\)
Subtopic:  Measurement & Measuring Devices |
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The following data is for a reaction between reactants A and B:
Rate
mol \(L^{-1}s^{-1}\)
 [A]  [B]
\(2 \times10^{-3}\)  0.1 M  0.1 M
\(4 \times10^{-3}\)  0.2 M  0.1 M
\(1.6 \times10^{-2}\)  0.2 M  0.2 M

The order of the reaction with respect to A and B, respectively are:

1. 1, 0
2. 0, 1
3. 1, 2
4. 2, 1
Subtopic:  Order, Molecularity and Mechanism |
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Let us consider two solenoids \(A\) and \(B,\) made from the same magnetic material of relative permeability \(\mu_{r}\) and equal area of cross-section. Length of \(A\) is twice that of \(B\) and the number of turns per unit length in \(A\) is half that of \(B.\) The ratio of self inductances of the two solenoids, \(L_A:L_B\) is:
1. \(1:2\)
2. \(2:1\)
3. \(8:1\)
4. \(1:8\)
Subtopic:  Self - Inductance |
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When the output of an OR gate is applied as input to a NOT gate, then the combination acts as a:
1. NAND gate
2. NOR gate
3. AND gate
4. OR gate
Subtopic:  Logic gates |
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Given below are two statements: 
Statement I : Propene on treatment with diborane gives an addition product with the formula \(((CH_3)_2-CH)_3 -B\)
Statement II :  Oxidation of \(((CH_3)_2-CH)_3 -B\) with hydrogen peroxide in presence of \(NaOH\) gives propan-2-ol.
In the light of the above statements, choose the most appropriate answer from the options given below:
1. Statement I is correct but Statement II is incorrect 
2. Statement I is incorrect but statement II is correct 
3. Both Statement I and Statement II are correct 
4. Both Statement I and Statement II are incorrect

 
Subtopic:  Alkanes, Alkenes and Alkynes - Chemical Properties |
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The interference pattern can be observed due to the superposition of the following waves:
A. \(y=a\sin\omega t\)
B. \(y=a\sin2\omega t\)
C. \(y=a\sin\left(\omega t-\phi\right)\)
D. \(y=a\sin3\omega t\)
Choose the correct answer from the options given below:
1. B and C 2. B and D
3. A and C 4. A and B
Subtopic:  Superposition Principle |
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