**Answer:**

c. detecting the gravitational effect of an orbiting planet (The Wobble"") by looking for the Doppler shifts in the star's spectrum

**Explanation:**

In a solar system the mass of the star and planets affect each other's orbital movements. The center of gravity of a star and a planet is inside the star. This causes the star to be closer and farther from the Earth at different times. Due to this wobble the star appears to be red shifted when it is farther and blue shifted when it is closer.

When the mass of the planet is high, like a hot Jupiter it causes more wobble i.e., change in radial velocity. This makes it easier to detect the planet. The earliest hot Jupiter found by this method is the planet 51 Pegasi b.

B . it should be convert energy.

**Answer:**

y = 0.0233 m

**Explanation:**

In a Young's Double Slit Experiment the distance between two consecutive bright fringes is given by the formula:

**Δx = λL/d**

where,

Δx = distance between fringes

λ = wavelength of light

L = Distance between screen and slits

d = Slit Separation

Now, for initial case:

λ = 425 nm = 4.25 x 10⁻⁷ m

y = 2Δx = 0.0177 m => Δx = 8.85 x 10⁻³ m

Therefore,

**8.85 x 10⁻³ m = (4.25 x 10⁻⁷ m)L/d**

**L/d = (8.85 x 10⁻³ m)/(4.25 x 10⁻⁷ m)**

**L/d = 2.08 x 10⁴ **

using this for λ = 560 nm = 5.6 x 10⁻⁷ m:

**Δx = (5.6 x 10⁻⁷ m)(2.08 x 10⁴)**

**Δx = 0.0116 m**

and,

**y = 2Δx**

**y = (2)(0.0116 m)**

<u>**y = 0.0233 m**</u>

Inertia is the property of all matter by which it tends to remain

in constant, uniform motion unless acted on by external force.

**Answer:**

The angle of separation is

**Explanation:**

From the question we are told that

The angle of incidence is

The refractive index of violet light in diamond is

The refractive index of red light in diamond is

The wavelength of violet light is

The wavelength of red light is

Snell's Law can be represented mathematically as

Where is the angle of refraction

=>

Now considering violet light

substituting values

Now considering red light

substituting values

The angle of separation between the red light and the violet light is mathematically evaluated as

substituting values