Explanation

The equation is separable:

  dy/dx = –y

  ⇒ dy/y = –dx

  ⇒ ∫(1/y) dy = ∫(–1) dx

  ⇒ ln|y| = –x + C

  ⇒ y = Ce⁻ˣ (where C is the constant of integration)

Explanation

The least distance of distinct vision for a normal human eye is 25 cm.

It is the minimum distance at which the eye can see an object clearly without strain.

Explanation

Dipole-induced dipole force is the weakest among intermolecular forces, caused when a polar molecule induces a dipole in a nonpolar molecule.

It is weaker than dipole-dipole and ion-dipole interactions.

Explanation

Deciles divide an ordered data set into 10 equal parts.

Each decile represents 10% of the data distribution.

Explanation

Mutually exclusive events cannot happen at the same time.

So, P(A or B) = P(A) + P(B) when A and B are mutually exclusive.

Explanation

The role of the court acrobat was intended to entertain and bring joy, especially to the king.

The idea behind creating this position was to provide amusement and lighten the mood at court.

Explanation

Aquatic arthropods like crabs, prawns, and some aquatic insects use gills to extract oxygen from water.

Gills provide a large surface area for gas exchange in an aquatic environment.

Explanation

In the family Mimosaceae (now included in Fabaceae subfamily Mimosoideae), the basal placentation is commonly observed.

Basal placentation means the ovule is attached at the base of the ovary, typical in flowers with a single ovule.

Explanation

 At the open end of an organ pipe, antinodes are formed. CK-12 Foundation

An antinode is a point of maximum displacement in a standing wave,

And since the air molecules at the open end of an organ pipe can vibrate freely, they create an antinode there. 

Explanation

When an object is placed at the focus of a convex lens, the refracted rays become parallel.

These rays do not converge to form a real image.

So technically, the image is formed at infinity and is real, inverted, and highly enlarged.

Therefore, the image will be real, formed at infinity.