Question

when an object is placed at a distance of 50 cm from its concave spherical mirror the magnification produced is -1/2 where should the object be placed to get a magnification of -1/5

Answer 1

Hello

here is your answer

Here,

given,

m = -1/2 (means the images is real)

u = - 50 cm.

We know,

From magnification formula

m = -v/u

=> -1/2 = -v / -50

=> v = -50/2cm

=>v = -25 cm

Also,

According to the mirror formula,

=> 1/f = 1/v -(-1/u)

=> 1/f = -1/25 - 1/50

=> 1/f = (-2-1)/50

=> 1/f = -3/50 => f = -50/3 cm

So, the focal length of mirror is 60 cm.

Now, we are given that m = -1/5

m = -v/u

=> -1/5 = -v/u => v = u/5

According to mirror formula,

1/f = 1/u + 1/v

=> -3/50 = 1/u + 5/u

=> -3/50 = 6/u

Therefore, u = -300/3 = -100 cm

Therefore, required distance of the object to produce a magnification of -1/5 is 100 cm.

Hope this helps!!!!!!!!!!
Thanks for questioning
#Be Brainly

Answer 2

Answer :--- Object should be placed at 100 cm.