Assertion: A convex lens of glass (μ = 1.5) behave as a diverging lens when immersed in carbon disulphide of higher refractive index (μ = 1.65). Reason: A diverging lens is thinner in the middle and thicker at the edges.

Question

Assertion: A convex lens of glass (μ = 1.5) behave as a diverging lens when immersed in carbon disulphide of higher refractive index (μ = 1.65). Reason: A diverging lens is thinner in the middle and thicker at the edges. (A) If both assertion and reason are true and reason is the correct explanation of assertion (B) If both assertion and reason are true but reason is not the correct explanation of assertion (C) If assertion is true but reason is false (D) If both assertion and reason are false

Tardigrade Admin · Accepted Answer

μ = (μg/μc) = (1.5/1.65) < 1 As (1/f) = (μ-1)((1/R1) - (1/R2)) ∴ f becomes negative. Therefore, the lens behaves as a diverging lens.

Q. Assertion : A convex lens of glass $(μ = 1.5)$ behave as a diverging lens when immersed in carbon disulphide of higher refractive index $(μ = 1.65)$ .
Reason: A diverging lens is thinner in the middle and thicker at the edges.

If both assertion and reason are true and reason is the correct explanation of assertion

If both assertion and reason are true but reason is not the correct explanation of assertion

If assertion is true but reason is false

If both assertion and reason are false

$μ = \frac{μ _{g}}{μ _{c}} = \frac{1.5}{1.65} < 1$
As $\frac{1}{f} = (μ - 1) (\frac{1}{R _{1}} - \frac{1}{R _{2}})$
$∴ f$ becomes negative.
Therefore, the lens behaves as a diverging lens.

Q. Assertion : A convex lens of glass (μ=1.5) behave as a diverging lens when immersed in carbon disulphide of higher refractive index (μ=1.65). Reason: A diverging lens is thinner in the middle and thicker at the edges.