Car P is heading east with a speed V and car Q is heading north with a speed \(\sqrt{3}\). What is the velocity of car Q with respect to car P?
A ring of radius 1.75 m stands vertically. A small sphere of mass 1kg rolls on the inside of this ring without slipping. If it has a velocity of 10m/s at the bottom of the ring,then its velocity when it reaches the top is:(Take g=10 m/s2)
An ideal diatomic gas is made up of molecules that do not vibrate. Its volume compressed by a factor of 32,without any exchange of heat. If the initial and final pressures are P1 and P2,respectively,the ratio P1:P2,is:
A small bar magnet lies along the x-axis with its Centre fixed at the origin. If the magnetic field at point (5\(\hat{i}\)) m due to this magnet is 4x106 T,then the magnetic field at point (10\(\hat{j}\)) m will be :
The rod PQ slides along 2 parallel rails as shown in the figure. It has a length of 20 cm and is perpendicular to the 2 rails. It performs simple harmonic motion with amplitude 5 cm and frequency 10 Hz. The magnetic field is 10-4T and is directed perpendicular to the plane of paper. What is the peak induced electro-magnetic force?
A long wire carrying a current of 5 A lies along the positive Z-axis. The magnetic field the point with position vector \(\vec{r}\) =(\(\hat{i}\)+2\(\hat{j}\)+2\(\hat{k}\)) m will be:(μo=4\(\pi\)×10-7 in SI units)
A metallic bullet with an initial velocity of 500 m/s penetrates a solid object and melts. The initial temperature of the bullet is 30°C and its melting point is 280°C. The ratio of total heat generated to the initial kinetic energy of the bullet will be : [Latent heat of fusion of metal=3.0x104 J/kg and specific heat capacity of metal=200 J/kg-K]