## Question

Consider the situation shown in figure. The elevator is going up with an acceleration of 2.00 m/s^{2} and the focal length of the mirror is 12.0 cm. All the surfaces are smooth and the pulley is light. The mass – pulley system is released from rest (with respect to the elevator ) at t = 0 when the distance of B from the mirror is 42.0 cm. find the distance between the image of the block B and the mirror at t = 0.200 s. Take g = 10 m/s^{2}

### Solution

v = 8.57 cm

mg + 2m – T = ma

T = ma

Solving a = 6 m/s^{2}

u = 1 – (42 – 12) = 1 – 30 cm, f = + 12 cm

#### SIMILAR QUESTIONS

A ray of light passing through a prism having refractive index √(2) suffers minimum deviation. It is found that the angle of incidence is double the angle of refraction within the prism. what is the angle of prism?

In a glass sphere, there is a small bubble 2 ×10^{-2 }m from its centre. If the bubble is viewed along a diameter of the sphere, from the side on which it lies, how far from the surface will it appear? The radius of glass sphere is 5 ×10^{-2 }m and refractive index of glass is 1.5

Considering normal incidence of ray, the equivalent refractive index of combination of two slabs shown in figure is

A ray of light falls on a transparent glass slab of refractive index 1.62. What is the angle of incidence, if the reflected ray and refracted ray are mutually perpendicular?

Calculate the refractive index of glass with respect to water. It is given that refractive indices of glass and water with respect to air are 3/2 and 4/3 respectively

The refractive index of the medium, if a light wave has a frequency of and a wavelength of metres in a medium, will be

A small object is placed at the centre of the bottom of a cylindrical vessel of radius 3 cm and height 4 cm filled completely with water, Consider the ray leaving the vessel through a corner. Suppose this ray and the ray along the axis of the vessel are used to trace the image. Find the apparent depth of the image and the ratio of real depth to the apparent depth under the assumptions taken. Refractive index of water = 1.33

A convex lens has a focal length of 10 cm. Find the location and nature of the image if point object is placed on the principal axis at a distance of (a) 9.8 cm, (b) 10.2 cm from the lens.

A mass m =50g is dropped on a vertical spring of spring constant 500 N/m from a height h =10 cm as shown in figure. The mass sticks to the spring and executed simple harmonic oscillations after that. A concave mirror of focal length 12 cm facing the mass is fixed with its principal axis coinciding with the line of motion of the mass, its pole being at a distance of 30 cm from the free end of the spring. Find the length in which the image of the mass oscillated