Two toroids \(1\) and \(2\) have total no. of turns \(200\) and \(100\) respectively with average radii \(40~\text{cm}\) and \(20~\text{cm}\) respectively. If they carry the same current \(i,\) what will be the ratio of the magnetic fields along the two loops?
1. \(1:1\)
2. \(4:1\)
3. \(2:1\)
4. \(1:2\)
In Young's double-slit experiment, if there is no initial phase difference between the light from the two slits, a point on the screen corresponding to the fifth minimum has a path difference:
| 1. | \( \dfrac{5\lambda}{2} \) | 2. | \( \dfrac{10\lambda}{2} \) |
| 3. | \( \dfrac{9\lambda}{2} \) | 4. | \( \dfrac{11\lambda}{2} \) |
The angular width of the central maximum in the Fraunhofer diffraction for \(\lambda=6000~{\mathring{A}}\) is \(\theta_0.\) When the same slit is illuminated by another monochromatic light, the angular width decreases by \(30\%.\) The wavelength of this light is:
1. \(1800~{\mathring{A}}\)
2. \(4200~{\mathring{A}}\)
3. \(420~{\mathring{A}}\)
4. \(6000~{\mathring{A}}\)
An object flying in the air with velocity \((20 \hat{i}+25 \hat{j}-12 \hat{k})\) suddenly breaks into two pieces whose masses are in the ratio of \(1:5.\) The smaller mass flies off with a velocity \((100 \hat{i}+35 \hat{j}+8 \hat{k})\). The velocity of the larger piece will be:
1. \( 4 \hat{i}+23 \hat{j}-16 \hat{k}\)
2. \( -100 \hat{i}-35 \hat{j}-8 \hat{k} \)
3. \( 20 \hat{i}+15 \hat{j}-80 \hat{k} \)
4. \( -20 \hat{i}-15 \hat{j}-80 \hat{k}\)
The reading of an ideal voltmeter in the circuit shown is:
| 1. | \(0.6~\text V\) | 2. | \(0~\text V\) |
| 3. | \(0.5~\text V\) | 4. | \(0.4~\text V\) |
A few reactions are given below:
| i. | \(\small{\mathrm{CH}_3 \mathrm{CH}_2 \mathrm{CH}_2 \mathrm{Br}+\mathrm{KOH} \rightarrow \mathrm{CH}_3 \mathrm{CH}=\mathrm{CH}_2+\mathrm{KBr}+\mathrm{H}_2 \mathrm{O}}\) |
| ii. |  |
| iii. |  |
| (i) | (ii) | (iii) | |
| 1. | Elimination | Substitution | Addition |
| 2. | Elimination | Substitution | Substitution |
| 3. | Substitution | Addition | Addition |
| 4. | Elimination | Elimination | Addition |
The crystal field stabilization energy (CFSE) for [CoCl6]4– is 18000 cm–1.
The CFSE for [CoCl4]2– will be:
| 1. | 2. | ||
| 3. | 4. |
|
The standard electrode potential (E°) values of Al3+/ Al, Ag+ / Ag, K+ / K, and Cr3+ / Cr are –1.66 V, 0.80 V, –2.93 V, & –0.79 V respectively. The correct decreasing order of the reducing power of the metals is:
| 1. | Ag > Cr > Al > K | 2. | K > Al > Cr > Ag |
| 3. | K > Al > Ag > Cr | 4. | Al > K > Ag > Cr |
Which of the following represents the correct order of ionic radii?
1. H⁻ > H⁺ > H2. Na⁺ > F⁻ > O²⁻
3. F⁻ > O²⁻ > Na⁺
4. N³⁻ > Mg²⁺ > Al³⁺
Match the catalyst with the process:
| Catalyst | Process | ||
| (i) | \(V_2O_5\) | (a) | The oxidation of ethylene to ethanal |
| (ii) | \(TiCl_4 + Al(CH_3)_3\) | (b) | Polymerisation of alkynes |
| (iii) | \(PdCl_2\) | (c) | Oxidation of \(SO_2\) in the manufacture of \(H_2SO_4\) |
| (iv) | Nickel complexes | (d) | Polymerisation of ethylene |
Which of the following is the correct matching of Catalyst & Process?
| Options: | (i) | (ii) | (iii) | (iv) |
| 1. | c | d | a | b |
| 2. | a | b | c | d |
| 3. | a | c | b | d |
| 4. | c | a | d | b |
1. (i)-(c), (ii)-(d), (iii)-(a), (iv)-(b)
2. (i)-(a), (ii)-(b), (iii)-(c), (iv)-(d)
3. (i)-(a), (ii)-(n), (iii)-(b), (iv)-(d)
4. (i)-(c), (ii)-(a), (iii)-(d), (iv)-(b)
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