The red light of a wavelength 6400 Å in the air has a wavelength of 4000 Å in glass. If the wavelength of violet light in air is 4400 Å , then the wavelength in the glass is

Question

The red light of a wavelength 6400 Å in the air has a wavelength of 4000 Å in glass. If the wavelength of violet light in air is 4400 Å , then the wavelength in the glass is (A) 2570Å (B) 2750Å (C) 1600Å (D) 2510Å

Tardigrade Admin · Accepted Answer

(μ )g=(((λ )r)air/((λ )r)glass)=(6400/4000)=1.6 Now, (μ )g= (((λ )v)air/((λ )v)glass) ((λ )v)glass=(((λ )v)air/(μ )g)=(4400/1 .6)=2750â«

Q. The red light of a wavelength $6400 Å$ in the air has a wavelength of $4000 Å$ in glass. If the wavelength of violet light in air is $4400 Å$ , then the wavelength in the glass is

$2570Å$

$2750Å$

$1600Å$

$2510Å$

$(μ)_{g} = \frac{( ( λ ) _{r} ) _{ai r}}{( ( λ ) _{r} ) _{g l a ss}} = \frac{6400}{4000} = 1.6$
Now, $(μ)_{g} = \frac{( ( λ ) _{v} ) _{ai r}}{( ( λ ) _{v} ) _{g l a ss}}$
$((λ)_{v})_{g l a ss} = \frac{( ( λ ) _{v} ) _{ai r}}{( μ ) _{g}} = \frac{4400}{1.6} = 2750Å$

Q. The red light of a wavelength 6400Å in the air has a wavelength of 4000Å in glass. If the wavelength of violet light in air is 4400Å , then the wavelength in the glass is

2570Å

2750Å

1600Å

2510Å