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Physics
Question: An object is placed at a distance of 15cm in front of a convex lens of focal length 30cm. Find the nature and position of the image.

Posted by: Ningthoujam r. on 06.04.2022

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Answer:
Distance of the object from optical centre of the convex lens (u)= 15 c.m. Focal length of the convex lens (v)= 30 c.m. Let's, distance of image formed from optical centre= v c.m. Now, applying lens formula, 1/v - 1/u = 1/f; or, 1/v -1/15= 1/30 or, 1/v= 1/15 - 1/30 or, 1/v= - 1/30 or,v= -30 So, from sign convention formula of lens image will be formed on same side of the object and 30 cm from optical centre. Image nature will be virtual and erect.
Answer:

Given Let Distance of object be u = 15cm, focal length of convex lens, f = 30cm, Position of image, v = ?

Hence 1st apply, len's formula and sign convention and re-arrange the equation to find the value of v.

so 1/v - 1/u = 1/f ; 

after solving we get v = - 30cm. So image is formed on the same side of the object and its nature is erect and virtual

Answer:

Here,u= -15cm f=30 cm Now,by lens formula, 1/v-1/u=1/f Thus,v= -30 cm Nature of the image is real and inverted

Answer:
Erect ,virtual and is formed on the side of object
Answer:
Here u = -15 , f = 30, from lens formula 1/v - 1/u = 1/f , v = -30, so image is on same side of object at 30cm from lens which is focus itself, and is virtual and erect.
Answer:
Focal length of convex lens is positive F=30cm U=-15cm V=? Lens formula 1/f=1/v-1/u 1/30=1/v-1/-15 1/30=1/v+1/15 1/v=1/30-1/15 1/v=15-30/450 1/v=-15/450 v=-450/15 v=-30cm Therefore Nature of image is virtual, erect and of same size
Answer:
Apply sign convention for convex lens.all distances are measured from the optic centre,which is the geometric mid point of a lens.any distance measured in the direction of light is positive and opposite to the direction of light is negative...so u = -15,v = ? f = +30 .formula for lens is 1/f =1/v -1/u...so 1/30 =1/v -(-1/15) . 1/30 =1/v + 1/15 . 1/30 - 1/15 =1/v.. on calculating 1/v = -1/30 . So v=-30...so image is erect ,virtual,and on the side of object...
Answer:

Real and inverted.

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