Physics

A 25 m long antenna is mounted on an antenna tower. The height of the antenna tower is 75m. The wavelength (in meter) of the signal transmitted by this antenna would be

A closed-organ pipe of length L and an open pipe contain gases of densities ρ? and ρ? respectively. The compressibility of gases are equal in both the pipes. Both the pipes are vibrating in their first overtone with same frequency. The length of the open pipe is (3/x) L √(ρ?/ρ?) where x is ---. (Round off to the Nearest Integer)

One main scale division of a vernier callipers is 'a' cm and nth division of the vernier scale coincide with(n -1)th division of the main scale. The least count of the callipers in mm is :

A resistor develops 500J of thermal energy in 20 s when a current of 1.5A is passed through it. If the current is increased from 1.5 A to 3 A, what will be the energy developed in 20 s.

A conducting bar of length L is free to slide on two parallel conducting rails as shown in the figure. Two resistors R1 and R2 are connected across the ends of the rails. There is a uniform magnetic field $\stackrel{}{}$ pointing into the page. An external agent pulls the bar to the left at a constant speed v.

The correct statement about the directions of induced currents I1 and I2 flowing through R1 and R2 respectively is:

For the given circuit, comment on the type of transformer used.

Statement I: A cyclist is moving on an un-banked road with a speed of 7 kmh?¹ and takes a sharp circular turn along a path of radius of 2m without reducing the speed. The static friction coefficient is 0.2 The cyclist will not slip and pass the curve. (g = 9.8m/s²)
Statement II: If the road is at an angle of 45°, cyclist can cross of the curve of 2m radius with the speed of 18.5 kmh?¹ without slipping
In the light of the above statements, choose the correct the answer from the options given below.

Find out the surface charge density at the intersection of point x = 3 m plane and x-axis, in the region of uniform line charge of 8 nC/m lying along the z-axis in free space.

The maximum and minimum distances of a comet from the Sun are 1.6 x1012m and 8.0 x1010m respectively. If the speed of the comet at the nearest point is 6x104ms-1, the speed at the farthest point is:

The pressure acting on a submarine is3 x10⁵ Pa at a certain depth. If the depth is doubled, the percentage in the pressure acting on the submarine would be:

(Assume that atmospheric pressure is1x10⁵ Pa, density of water is10³kgm^-3 ,g = 10ms-² )