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In Young's double slit experiment, the intensity of light at a point on the screen where the path difference is \(\lambda\) is \(\mathrm{K}\) units (\(\lambda\) is the wavelength of light used). The percentage change in intensity at a point where the path difference is \(\frac{\lambda}{6}\) and the above point is
The limiting molar conductivity of \(\mathrm{NH}_4 \mathrm{OH}\) is \(238 \mathrm{~S} \mathrm{~cm}^2 \mathrm{~mol}^{-1}\). At \(25^{\circ} \mathrm{C}\), molar conductance of \(0.1 \mathrm{M}\) aqueous solution of ammonium hydroxide is \(9.54 \mathrm{~S} \mathrm{~cm}^2 \mathrm{~mol}^{-1}\). The degree of ionisation of \(\mathrm{NH}_4 \mathrm{OH}\) at the same concentration and temperature is:
$$\text { Let } \mathrm{A} \text { and } \mathrm{B} \text { be two sets then } A-(A \cap B) \text { is equal to }$$
A transformer has 400 turns in its primary winding and 800 turns in its secondary winding. The primary voltage is \(20 \mathrm{~V}\) and the load in the secondary is 4 ohm. The current in the primary, assuming it to be an ideal transformer, is
A solution of \(\mathrm{KCl}(\mathrm{M}=74.5 \mathrm{~g} \mathrm{~mol}^{-1})\) containing \(1.9 \mathrm{~g}\) per \(100 \mathrm{~mL}\) of \(\mathrm{KCl}\) is isotonic with a solution of urea \((\mathrm{M}=60.0 \mathrm{~g} \mathrm{~mol}^{-1}\)) containing \(3 \mathrm{~g}\) per \(100 \mathrm{~mL}\) of urea. The degree of dissociation of \(\mathrm{KCl}\) is: [Assume both the solutions are kept at same temperature]
A relation \(R\) is defined from \(\{2,3,4\}\) to \(\{3,6,7,10\}\). If \(x R y \Leftrightarrow x\) and \(y\) are co prime numbers. Then range of \(R\) is