Q. No.Two particles having equal charges move along circular paths in a uniform magnetic field \(B\text:\) the radii of their paths being \(R_1,R_2.\) The de-Broglie wavelengths of these particles are \(\lambda_1,\lambda_2\) respectively. Then:
1.
\({\Large\frac{\lambda_1}{\lambda_2}}={\Large\frac{R_1}{R_2}}\)
2.
\(\lambda_1R_1=\lambda_2R_2\)
3.
\({\Large\frac{\lambda_1^2}{\lambda_2^2}}={\Large\frac{R_1}{R_2}}\)
4.
\(\lambda_1^2R_1=\lambda_2^2R_2\)
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| Assertion (A): | When the frequency of incident radiation is increased, the stopping potential of the electrons in a photoelectric effect experiment increases linearly. |
| Reason (R): | The stopping potential is proportional to the kinetic energy of the fastest photoelectron, which is given by: \({\Large\frac12}mv^2_{\text{max}}=h\nu-W,\) where \(\nu\) is the frequency of incident light. |
| 1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
| 3. | (A) is True but (R) is False. |
| 4. | (A) is False but (R) is True. |
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1. \(1~\text{eV}\)
2. \(2.5~\text{eV}\)
3. \(0.5~\text{eV}\)
4. \(4~\text{eV}\)
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varies with large \(n\) as:
| 1. | \(\dfrac{1}{n}\) | 2. | \(\dfrac{1}{n^2}\) |
| 3. | \(\dfrac{1}{n^4}\) | 4. | \(n^0,\text{ constant}\) |
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1. \(101~\text{eV}\)
2. \(3~\text{eV}\)
3. \(4~\text{eV}\)
4. \(5~\text{eV}\)
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| 1. | \(\text{eV}/\mathring{A}\) | 2. | \(\text{eV}\text-\mathring{A}\) |
| 3. | \(\text{eV}\text-{\text s}\) | 4. | \(\text{eV}/{\text s}\) |
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| 1. | electrons emitted have a maximum kinetic energy of \(0.9~\text{eV}\) |
| 2. | electrons emitted have a maximum kinetic energy of \(2.9~\text{eV}\) |
| 3. | electrons emitted have a maximum kinetic energy of \(1.9~\text{eV}\) |
| 4. | electrons are not emitted |
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| 1. | \(\lambda_B\) | 2. | \({\dfrac{1}{\lambda_B}}\) |
| 3. | \(\lambda_B^{~2}\) | 4. | \({\dfrac{1}{\lambda_B^{~2}}}\) |
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When the path difference is changed by \(\delta,\) consecutive minima are observed in the neutron counting rates. This value of \(\delta\) is \(\Big(\hbar={\large\frac{h}{2\pi}},h=\text{Planck's constant}\Big)\):
| 1. | \({\Large\frac{h}{\sqrt{2mE}}}\) |
| 2. | \({\Large\frac{\hbar}{\sqrt{2mE}}}\) |
| 3. | \({\Large\frac{h}{2\sqrt{2mE}}}\) |
| 4. | \({\Large\frac{\hbar}{2\sqrt{2mE}}}\) |
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