AIPMT 2006 Mock Test

Two cells having the same emf, are connected in series through an external resistance $R$. Cells have internal resistance $r_1$ and $r_2$ respectively. When the circuit is closed, the potential difference across the first cell is zero. The value of $R$ is:

A black body at $1227^{\circ }\text{C}$ emits radiations with maximum intensity at a wavelength of $5000\text{A˚}$. If the temperature of the body is increased by $1000^{\circ }\text{C}$, the maximum intensity will be observed at:

Two circular coils $1$ and $2$ are made from the same wire but the radius of the $1^{\text{st}}$ coil is twice that of the $2^{\text{nd}}$ coil. What is the ratio of the potential difference applied across them so that the magnetic field at their centres is the same?

A transistor-oscillator using a resonant circuit with an inductance $L$ (of negligible resistance) and a capacitance $C$ has a frequency $f$. If $L$ is doubled and $C$ is changed to $4C$, the frequency will be:

The binding energy of deuteron is $2.2\text{MeV}$ and that of ${}_2^4\text{He}$ is $28\text{MeV}$. If two deuterons are fused to form one ${}_2^4\text{He}$, then the energy released is: