Consider the following statements about visible light, UV light and X-rays:

1. The wavelength of visible light is more than that of X-rays.
2. The energy of X-ray photons is higher than that of UV light photons.
3. The energy of UV light photons is less than that of visible light photons.

Which of the statements given above is/are correct?

• 1, 2 and 3

• 1 and 2 only

• 2 and 3 only

• 1 only

The time period of oscillation of a simple pendulum having length L and mass of the bob m is given as T. If the length of the pendulum is increased to 4 L and the mass of the bob is increased to 2m, then which one of the following is the new time period of oscillation?

• T

• 2T

• 4T

• _{$\frac{\mathrm{T}}{2}$}

The connecting cable of electrical appliances like electric iron, water heater or room heater contains three insulated copper wires of three different colours-red, green and black. Which one of the following is the correct colour code?

• Red-live wire, Green-neutral wire, Black-ground wire

• Red-live wire, Green-ground wire, Black-live wire

• Red-live wire, Green-ground wire, Black-neutral wire

• Red-ground wire, Green-live wire, Black-neutral wire

The graphs between current (I) and voltage (V) for three linear resistors 1,2 and 3 are given below:

If R₁, R₂ and R₃ are the resistances of these resistors, then which one of the following is correct?

• R₁ > R₂ > R₃

• R₁ < R₃ < R₂

• R₃ < R₁ < R₂

• R₃ > R₂ > R₁

Consider the following statements about a microscope and a telescope:

1. Both the eyepiece and the objective of a microscope are convex lenses.
2. The focal length of the objective of a telescope is larger, than the focal length of its eyepiece.
3. The magnification of a telescope increases with the increase in focal length of its objective.
4. The magnification of a microscope increases with the increase in focal length of its objective.

Which of the statements given above are correct?

• 1 and 3 only

• 1 and 4

• 2, 3 and 4

• 1, 2 and 3

A planet has a mass M₁ and radius R_1. The value of acceleration due to gravity on its surface is g_1. There is another planet 2, whose mass and radius both are two times that of the first planet. Which one of the following is the acceleration due to gravity on the surface of planet 2?

• g₁

• 2g₁

• $\frac{{\mathrm{g}}_1}{2}$

• $\frac{{\mathrm{g}}_1}{4}$

The wavelength of X-rays is of the order of

• 1 Å

• 1 μm

• 1 mm

• 1 cm

38.

Consider the following velocity and itme graph:

Which one of the following is the value of average acceleration from 8s to 12s?

• 8 m/s²

• 12 m/s²

• 2 m/s²

• -1 m/s²

If the focal length of a convex lens is 50 cm, which one of the following is its power?

• +2 dioptre

• +0.02 dioptre

• -0.5 dioptre

• +0.5 dioptre

A ball is released from rest and rolls down an inclined plane, as shown in the following figure, requiring 4s to cover a distance of 100 cm along the plane:

Which one of the following is the correct value of angle θ that the plane makes with the horizontal? (g = 1000 cm/s²)

• θ = ${\sin }^{-1}\left(\frac{1}{9.8}\right)$

• θ = ${\sin }^{-1}\left(\frac{1}{20}\right)$

• θ = ${\sin }^{-1}\left(\frac{1}{80}\right)$

• θ = ${\sin }^{-1}\left(\frac{1}{100}\right)$