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Figure given below shows two paths for the change of state of a gas from A to B. The ratio of molar heat capacities in paths 1 and 2 is

The two rods have thermal conductivities 2k and k and length `l` and `2l` respectively. The system is in steady state

The rod shown in diagram is at steady state. As we move from A to B the graph between T and length is

Four rods of same material are taken. The length l and radius of cross-section r are given below. In which rod the heat flow will be maximum when temperature difference across the ends of rods is same under steady state?

A cylinder of radius R made of a material of thermal conductivity `K_1` is surrounded by cylindrical shell of inner radius R and outer radius 2 R made of a material of termal conductivity `K_2`. The two ends of the combined system are maintained at two different temperatures. There is no loss of heat across the cylindrical surface and the system is in steady state. The effective thermal conductivity of the system is

A given quantity of a ideal gas is at pressure P and absolute temperature T. The isothermal bulk modulus of the gas is

The energy radiated per second by a spherical black body will be doubled if its

An ideal gas at a pressure of 1 atmosphere and temperature of `27^oC` is compressed adiabatically until its pressure becomes 8 times the initial pressure, then the final temperature is `(gamma=3/2)`

A black body is at temperature 2880 K. The energy of radiation emitted by this object with wavelength between 499 nm and 500 nm is `U_1`, between 999 nm and 1000 nm is `U_2` and between 1499 nm and 1500 nm is `U_3`. The Wien's constant `b = 2.88xx10^5` nm-K. Then

The process shown in diagram is same as shown in

Two different adiabatic paths for the same gas intersect two isothermals at `T_1` and `T_2` as shown in the P-V diagram. The ratio `V_a/V_b= alpha` and `V_d/V_c= beta` are such that

In the process AB 600 J of heat is added to the system and in the process BC, 200 J of heat is given to the system. The change in internal energy of the system in the process AC could be

A cyclic process is shown on the p-T diagram. Which of the curves show the same process on a p-V diagram?

The plots of intensity versus wavelength for these black bodies at temperatures `T_1, T_2` and `T_3` respectively are as shown. Their temperatures are such that

The rod shown in diagram is maintained in steady state. The temperature at the junctions A and B are respectively

The primary and secondary coils of a transformer have 50 and 1500 turns respectively. If the magnetic flux `phi` linked with primary coil is given by `phi` =`phi_0+4t` where `phi` is in weber, t in second and `phi_0` is constant the output voltage across secondary coil is

A conducting loop in the shape of right angled isosceles triangle of height 'a' is kept such that `90^o` vertex is very close to infinitely long conducting wire (see the figure). The wire is electrically insulated from the loop. The hypotenuse of triangle is parallel to the wire. Mutual inductance (M) for the system is

Two concentric and co planer circular conducting rings are shown in figure. If b >> a and current I is flowing in the ring I then flux of magnetic field through ring 2 is

A transformer is used to light a 100 W and 110 V lamp from a 220 V mains. If the main current is 0.5 A, the efficiency of transformer is approximately.

An LCR series circuit with resistance `100 Omega` is connected to an ac source of 200 V and angular frequency 300 rad/s. When only capacitor is removed, the current lags behind the voltage by `60^o`. When only the inductance is removed, the current leads the voltage by `60^o` the power dissipated in the LCR circuit is

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