Explanation

 The dimensions of Planck's constant are the same as those of angular momentum. 

Planck's constant (h) is a fundamental constant in quantum mechanics

It relates the energy (E) of a photon to its frequency (ν) through the equation E = hν.

The dimensions of Planck's constant can be derived from this relationship,

And they are found to be the same as those of angular momentum

Explanation

Explanation

If an electron has zero orbital angular momentum, its magnetic dipole moment also equals zero

This is because the magnetic dipole moment is directly proportional to the orbital angular momentum, and when the angular momentum is zero, the magnetic moment is also zero. 

Explanation

Kinetic energy (K) is related to momentum (p) by K = p² / 2m. If momentum increases by 20%, the new momentum p' = 1.2p.

The new kinetic energy K' = (p')² / 2m = (1.2p)² / 2m = 1.44p² / 2m = 1.44K.

The percentage increase in K.E is ((K' - K) / K) × 100 = ((1.44K - K) / K) × 100 = 44%.

Explanation

Force = Change in momentum / Time (from Newton’s second law).

So, change in momentum in one second is defined as force.

Explanation

• The missing piece must fill the space, which is a 2x2 grid.
• The top-left quadrant of the missing piece needs to connect with the partial floral shape above and to the left.
• The top-right quadrant must connect with the shape above and to the right.
• The bottom-left quadrant must connect with the shape below and to the left.
• The bottom-right quadrant must connect with the shape below and to the right.

Explanation

Applying the Pattern

To find the fourth figure, apply the same pattern to the third figure.

• The third figure is a large square with a triangle inside.

• Following the established pattern, you must remove the outer shape (the square) and keep only the innermost shape.

• The innermost shape of the third figure is a hollow triangle.

This leads to a figure that matches option C.

Explanation

Applying the Pattern

To find the fourth figure, apply the same horizontal reflection to the third figure.

• The top half of the third figure (a series of concentric triangles) is reflected to become the bottom half of the fourth figure.

• The bottom half of the third figure (the same concentric triangles) is reflected to become the top half of the fourth figure.

This results in a figure that matches option B

Explanation

Applying the Pattern

To find the fourth figure, apply the same vertical reflection to the third figure (the circle).

• The top-left quadrant of the third circle (solid diagonal lines) moves to the top-right quadrant.

• The bottom-left quadrant (light horizontal lines) moves to the bottom-right quadrant.

• The top-right quadrant (black) moves to the top-left quadrant.

• The bottom-right quadrant (empty) moves to the bottom-left quadrant.

This results in a figure that matches option D.

Explanation

• Based on the image, the correct answer is indeed A.
• The problem shows a relationship between two figures and asks you to find the figure that has the same relationship with a third figure.
• The relationship between the first figure (a filled square inside a larger square) and the second figure (an empty square inside a larger square) is that the inner shape becomes empty or hollow.
• The third figure shows a filled circle inside a larger circle.
• To maintain the same relationship, the fourth figure must show a hollow or empty circle inside a larger circle.
• Option A is the only one that shows a hollow circle inside a larger circle, mirroring the transformation from the first pair of figures