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1. A
   $\sqrt{\frac{T}{\rho g d}}$
2. B
   $\sqrt{\frac{4T}{3\rho g d}}$
3. C
   $\sqrt{\frac{3T}{4\rho g d}}$
4. D
   $\sqrt{\frac{2T}{\rho g d}}$

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1. A
   3.6 N
2. B
   2.4 N
3. C
   1.2 N
4. D
   6.0 N

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1. A
   isochoric process
2. B
   adiabatic process
3. C
   isothermal process
4. D
   isobaric process

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1. A
   7 A
2. B
   3.3 A
3. C
   2 A
4. D
   2.5 A

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1. A
   $\sin^{-1}\!\left(\frac{1}{4}\right)$
2. B
   $\sin^{-1}\!\left(\frac{3}{4}\right)$
3. C
   $\sin^{-1}\!\left(\frac{\sqrt{3}}{2}\right)$
4. D
   $\sin^{-1}\!\left(\frac{1}{2}\right)$

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1. A
   $6\,\Omega$
2. B
   $7\,\Omega$
3. C
   $10\,\Omega$
4. D
   $5\,\Omega$

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1. A
   $\sin^{-1}\!\left(\frac{3}{2}\right)$
2. B
   $\sin^{-1}\!\left(\frac{2}{3}\right)$
3. C
   $\sin^{-1}\!\left(\frac{4}{3}\right)$
4. D
   $\sin^{-1}\!\left(\frac{3}{4}\right)$

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1. A
   2f
2. B
   4f
3. C
   1.5f
4. D
   2.5f

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1. A
   specific heat
2. B
   thermal capacity
3. C
   water equivalent
4. D
   temperature gradient

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1. A
   6.5 s
2. B
   20 s
3. C
   16.5 s
4. D
   10 s

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1. A
   $\frac{1}{2}$
2. B
   $2$
3. C
   $\frac{1}{\sqrt{2}}$
4. D
   $\sqrt{2}$

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1. A
   $\tan^{-1}\!\left(\frac{4}{3}\right)$
2. B
   $\tan^{-1}\!\left(\frac{3}{4}\right)$
3. C
   $\tan^{-1}\!\left(\frac{3}{2}\right)$
4. D
   $\tan^{-1}\!\left(\frac{4}{5}\right)$

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1. A
   a pure direct current
2. B
   a.c. with ripples at double the input frequency
3. C
   a.c. at the same frequency as input
4. D
   pulsating d.c. at double the input frequency

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1. A
   $25$ dyne/cm
2. B
   $100$ dyne/cm
3. C
   $200$ dyne/cm
4. D
   $50$ dyne/cm

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1. A
   $\sqrt{3}$
2. B
   $3$
3. C
   $\frac{1}{\sqrt{3}}$
4. D
   $\frac{1}{3}$

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1. A
   $2.22 \times 10^{-3}$ mol dm$^{-3}$
2. B
   $1.11 \times 10^{-3}$ mol dm$^{-3}$
3. C
   $4.44 \times 10^{-3}$ mol dm$^{-3}$
4. D
   $3.33 \times 10^{-3}$ mol dm$^{-3}$

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1. A
   $\text{NaClO}_3$, NaCl and $\text{H}_2\text{O}$
2. B
   NaCl and HOCl
3. C
   $\text{Na}_2\text{O}$ and NaCl
4. D
   NaOCl and $\text{H}_2\text{O}$

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1. A
   Ca
2. B
   Sr
3. C
   Be
4. D
   Mg

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1. A
   $\text{sp}^3$
2. B
   $\text{dsp}^2$
3. C
   $\text{d}^2\text{sp}^3$
4. D
   $\text{sp}^3\text{d}^2$

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1. A
   $2.74 \times 10^{-4}$ mol dm$^{-3}$
2. B
   $3.94 \times 10^{-4}$ mol dm$^{-3}$
3. C
   $6.85 \times 10^{-4}$ mol dm$^{-3}$
4. D
   $5.48 \times 10^{-4}$ mol dm$^{-3}$

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1. A
   273.15°C
2. B
   −373.15°C
3. C
   0°C
4. D
   −273.15°C

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1. A
   Stephen reaction: SnCl2, HCl
2. B
   Etard reaction: CrO2Cl2
3. C
   Gattermann–Koch formulation: CrO3/CH3CO2O
4. D
   Rosenmund reduction: H2/Pd–BaSO4

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1. A
   (a)
   
2. B
   (b)
   
3. C
   (c)
   
4. D
   (d)
   

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1. A
   (a)
   
2. B
   (b)
   
3. C
   (c)
   
4. D
   (d)
   

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1. A
   HCl
2. B
   HI
3. C
   HBr
4. D
   HF

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