Given below are two statements:
Statement-I:
The law of radioactive decay states that the number of nuclei undergoing the decay per unit time is inversely proportional to the total number of nuclei in the sample.
Statement-II:
The half life of a radionuclide is the sum of the left time of all nuclei, divided by the initial concentration of the nuclei at time \(t=0.\)
In the light of the above statements, choose the most appropriate answer from the options given below:
1.
Both Statement-I and Statement-II are correct.
2.
Both Statement-I and Statement-II are incorrect.
3.
Statement-I is correct but Statement-II is incorrect.
4.
Statement-I is incorrect but Statement-II is correct.
Subtopic: Radioactivity (OLD NCERT) |
55%
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NEET - 2022
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An ideal gas follows a process described by the equation \(PV^2=C\) from the initial \((P_1, V_1, T_1)\) to final \((P_2, V_2, T_2)\) thermodynamics states, where \(C\) is a constant. Then:
| 1. | \(\text{If}~P_1>P_2~\text{then}~T_1<T_2\) |
| 2. | \(\text{If}~V_2>V_1~\text{then}~T_2>T_1\) |
| 3. | \(\text{If}~V_2>V_1~\text{then}~T_2<T_1\) |
| 4. | \(\text{If}~P_1>P_2~\text{then}~V_1>V_2\) |
Subtopic: Types of Processes |
From NCERT
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A standard filament lamp consumes \(100\) W when connected to \(200\) V AC mains supply. The peak current through the bulb will be:
1. \(0.707\) A
2. \(1\) A
3. \(1.414\) A
4. \(2\) A
1. \(0.707\) A
2. \(1\) A
3. \(1.414\) A
4. \(2\) A
Subtopic: RMS & Average Values |
70%
From NCERT
NEET - 2022
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Let \(R_1\) be the radius of the second stationary orbit and \(R_2\) be the radius of the fourth stationary orbit of an electron in Bohr's model. The ratio \(\frac{R_1}{R_2}\) is:
1. \(0.25\)
2. \(0.5\)
3. \(2\)
4. \(4\)
1. \(0.25\)
2. \(0.5\)
3. \(2\)
4. \(4\)
Subtopic: Bohr's Model of Atom |
78%
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The physical quantity that has the same dimensional formula as pressure is:
1. Force
2. Momentum
3. Young's modulus of elasticity
4. Coefficient of viscosity
1. Force
2. Momentum
3. Young's modulus of elasticity
4. Coefficient of viscosity
Subtopic: Dimensions |
80%
From NCERT
NEET - 2022
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An energy of \(484\) J is spent in increasing the speed of a flywheel from \(60\) rpm to \(360\) rpm. The moment of inertia of the flywheel is:
1. \(0.7\) kg-m2
2. \(3.22\) kg-m2
3. \(30.8\) kg-m2
4. \(0.07\) kg-m2
1. \(0.7\) kg-m2
2. \(3.22\) kg-m2
3. \(30.8\) kg-m2
4. \(0.07\) kg-m2
Subtopic: Moment of Inertia |
57%
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The magnetic flux linked to a circular coil of radius \(R\) is;
\(\phi=2t^3+4t^2+2t+5\) Wb.
The magnitude of induced emf in the coil at \(t=5\) s is:
1. \(108\) V
2. \(197\) V
3. \(150\) V
4. \(192\) V
\(\phi=2t^3+4t^2+2t+5\) Wb.
The magnitude of induced emf in the coil at \(t=5\) s is:
1. \(108\) V
2. \(197\) V
3. \(150\) V
4. \(192\) V
Subtopic: Faraday's Law & Lenz Law |
85%
From NCERT
NEET - 2022
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An observer is using an astronomical refracting telescope to observe planets in normal adjustment. The focal lengths of the objective and eyepiece used in the telescope construction are \(20\) m and \(2\) cm respectively. Consider the following statements about the telescope:
The correct statements are:
| (a) | the distance between the objective and the eyepiece is \(20.02\) m. |
| (b) | the magnification of the telescope is \(-1000\). |
| (c) | the image of the planet is erect and diminished. |
| (d) | the aperture of the eyepiece is smaller than that of the objective. |
| 1. | (a), (b), and (c) |
| 2. | (b), (c), and (d) |
| 3. | (c), (d), and (a) |
| 4. | (a), (b), and (d) |
Subtopic: Telescope |
64%
From NCERT
NEET - 2022
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At any instant, two elements X1 and X2 have the same number of radioactive atoms. If the decay constant of X1 and X2 are 10 \(\lambda\) and \(\lambda\) respectively, then the time when the ratio of their atoms becomes \(\frac1e\) will be:
1. \(\frac{1}{11\lambda}\)
2. \(\frac{1}{9\lambda}\)
3. \(\frac{1}{6\lambda}\)
4. \(\frac{1}{5\lambda}\)
1. \(\frac{1}{11\lambda}\)
2. \(\frac{1}{9\lambda}\)
3. \(\frac{1}{6\lambda}\)
4. \(\frac{1}{5\lambda}\)
Subtopic: Radioactivity (OLD NCERT) |
72%
From NCERT
NEET - 2022
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Six charges \(+q,\) \(-q,\) \(+q,\) \(-q,\) \(+q\) and \(-q\) are fixed at the corners of a hexagon of side \(d\) as shown in the figure. The work done in bringing a charge \(q_0\) to the centre of the hexagon from infinity is:
(\(\varepsilon_0-\)permittivity of free space)
1. zero
2. \(\frac{-q^2}{4\pi\varepsilon_0d}\)
3. \(\frac{-q^2}{4\pi\varepsilon_0d}\Big(3-\frac{1}{\sqrt2}\Big)\)
4. \(\frac{-q^2}{4\pi\varepsilon_0d}\Big(6-\frac{1}{\sqrt2}\Big)\)
(\(\varepsilon_0-\)permittivity of free space)
1. zero
2. \(\frac{-q^2}{4\pi\varepsilon_0d}\)
3. \(\frac{-q^2}{4\pi\varepsilon_0d}\Big(3-\frac{1}{\sqrt2}\Big)\)
4. \(\frac{-q^2}{4\pi\varepsilon_0d}\Big(6-\frac{1}{\sqrt2}\Big)\)
Subtopic: Electric Potential Energy |
82%
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NEET - 2022
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