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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: An Object is kept at 30cm from concave mirror of focal length 20cm.If mirror starts moving
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budku007 (396)

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An Object is kept at 30cm from concave mirror of focal length 20cm.If mirror starts moving towards the object with velocity 2cm/s then find instantaneous velocity of image.

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Aapatsu Magnah Smaranam Tvadeeyam Karomi Durge Karunarna Veshi I
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budku007 (396)

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sorry mate wrong answer

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Anyone who has never made a mistake has never tried anything new
You can never solve a problem on the level on which it was created.
When you are courting a nice girl an hour seems like a second. When you sit on a red-hot cinder a second seems like an hour. That's relativity

Purpose of solving a problem is not simply to get the answer(the answer is only an evidence) but to develop your thinking ability
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jain108 (415)

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edited


Aapatsu Magnah Smaranam Tvadeeyam Karomi Durge Karunarna Veshi I
Naitaccha Thatvam Mum Methah Kshudhartrisharta Jananim Smaranti II

Jagdamb Vichitramatra Kim Paripoorna Karunaasti Chenmayi I
Aparadha Parampara Param Na Hi Mata Samupekshate Sutam II
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budku007 (396)

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sorry mate wrong answer

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Anyone who has never made a mistake has never tried anything new
You can never solve a problem on the level on which it was created.
When you are courting a nice girl an hour seems like a second. When you sit on a red-hot cinder a second seems like an hour. That's relativity

Purpose of solving a problem is not simply to get the answer(the answer is only an evidence) but to develop your thinking ability
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phanikrishna (136)

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i think the answer is 2cm/sec

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jain108 (415)

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then ...... correct 1??????????


Aapatsu Magnah Smaranam Tvadeeyam Karomi Durge Karunarna Veshi I
Naitaccha Thatvam Mum Methah Kshudhartrisharta Jananim Smaranti II

Jagdamb Vichitramatra Kim Paripoorna Karunaasti Chenmayi I
Aparadha Parampara Param Na Hi Mata Samupekshate Sutam II
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phanikrishna (136)

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is it correct if correct plsssssss accept my answer

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do not forget to rate me

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budku007 (396)

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no wrong answer

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Anyone who has never made a mistake has never tried anything new
You can never solve a problem on the level on which it was created.
When you are courting a nice girl an hour seems like a second. When you sit on a red-hot cinder a second seems like an hour. That's relativity

Purpose of solving a problem is not simply to get the answer(the answer is only an evidence) but to develop your thinking ability
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priyesh (1584)

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for concave mirror
 
1/u + 1/v = 1/f
differentiating
-1/u^2du/dt - 1/v^2dv/dt = 0
=> velocity of image = - (v/u)^2velocity of object
Note:both are w.r.t to mirror
 
now to find v we use the mirror equation
1/v + 1/(-30) = 1/(-20)
=> 1/v = 1/30 - 1/20 = -1/60
so v = -60
so (v/u)^2 = (60/30)^2 = 4
 
so velocity of image w.r.t mirror = -4*2 = -8cm/sec
 
so velocity of image w.r.t ground = -8 - 2 = -10cm/sec
 
so velocity of image is 10cm/sec in the same direction as the velocity of mirror
 

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budku007 (396)

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right answer Priyesh

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Anyone who has never made a mistake has never tried anything new
You can never solve a problem on the level on which it was created.
When you are courting a nice girl an hour seems like a second. When you sit on a red-hot cinder a second seems like an hour. That's relativity

Purpose of solving a problem is not simply to get the answer(the answer is only an evidence) but to develop your thinking ability
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phanikrishna (136)

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1/u + 1/v = 1/f
differentiating
-1/u^2du/dt - 1/v^2dv/dt = 0
=> velocity of image = - (v/u)^2velocity of object


now to find v we use the mirror equation
1/v + 1/(-30) = 1/(-20)
=> 1/v = 1/30 - 1/20 = -1/60
so v = -60
so (v/u)^2 = (60/30)^2 = 4

so velocity of image w.r.t mirror = -4*2 = -8cm/sec

so velocity of image w.r.t ground = -8 - 2 = -10cm/sec

so velocity of image is 10cm/sec in the same direction as the velocity of mirr

krishna
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phanikrishna (136)

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