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(A): A small metal ball is suspended in ...

(A): A small metal ball is suspended in a uniform electric field with an insulated thread. If high energy X-ray beam falls on the ball, the ball will be deflected in the electric field.
(R ): X-rays emits photoelectron and metal becomes negatively charged.

A

Both .A. and .R. are true and .R. is the correct explanation of .A.

B

Both .A. and .R. are tru and .R. is not the correct explanation of .A.

C

A. is true and .R. is false

D

A. is false and .R. is true

Text Solution

AI Generated Solution

The correct Answer is:
To solve the given question, we will analyze both the assertion (A) and the reason (R) step by step. ### Step-by-Step Solution: 1. **Understanding the Assertion (A)**: - The assertion states that a small metal ball suspended in a uniform electric field will be deflected when a high-energy X-ray beam falls on it. - The ball is suspended with an insulated thread, which means it can move freely without any interference from other forces. 2. **Effect of the Electric Field**: - In a uniform electric field, a charged object experiences a force. The direction of this force depends on the sign of the charge. - The force acting on the ball can be described by the equation \( F = Q \cdot E \), where \( F \) is the force, \( Q \) is the charge on the ball, and \( E \) is the electric field strength. 3. **Impact of the X-ray Beam**: - When a high-energy X-ray beam strikes the metal ball, it can cause the emission of electrons from the surface of the metal. This phenomenon is known as the photoelectric effect. - The emitted electrons are referred to as photoelectrons. 4. **Charge of the Metal Ball**: - As electrons are ejected from the metal ball due to the X-ray beam, the ball loses negative charge (electrons). - Consequently, the metal ball becomes positively charged because it has lost negatively charged electrons. 5. **Deflection of the Ball**: - Since the ball is now positively charged, it will experience a force in the direction of the electric field. - Therefore, the ball will be deflected in the electric field due to its positive charge. 6. **Understanding the Reason (R)**: - The reason states that X-rays emit photoelectrons and that the metal becomes negatively charged. - However, this statement is incorrect. While X-rays do emit photoelectrons, the metal ball becomes positively charged due to the loss of these electrons, not negatively charged. 7. **Conclusion**: - The assertion (A) is true: the ball will be deflected in the electric field. - The reason (R) is false: the metal ball does not become negatively charged; it becomes positively charged. ### Final Answer: - Assertion (A) is true. - Reason (R) is false.
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