Basics of Current - NEET Physics Questions
Question 1: moderate

10,000 alpha particles per minute are passing through a straight tube of radius r. The resulting electric current is approximately :

 

1. \[0.5\times 10^{-16} amp\]
2. \[2\times 10^{12} amp\]
3. \[0.5\times 10^{12} amp\]
4. \[2\times 10^{-12} amp\]
View Answer

Let’s solve the problem step by step:


1. Key Concepts

  • Alpha particles (
    α\alpha
     

    ) have a charge of qα=2eq_\alpha = 2e 

    , where e=1.6×1019Ce = 1.6 \times 10^{-19} \, \text{C} 

    is the elementary charge.

  • Electric current
    II
     

    is the rate of flow of charge: I=Total charge passingTimeI = \frac{\text{Total charge passing}}{\text{Time}} 


2. Total Charge Passing per Minute

We are given:


  • N=10,000α N = 10,000 \, \alpha
     

    -particles per minute,

  • Each
    α\alpha
     

    -particle carries a charge qα=2e=2×1.6×1019=3.2×1019Cq_\alpha = 2e = 2 \times 1.6 \times 10^{-19} = 3.2 \times 10^{-19} \, \text{C} 

    .

The total charge passing in 1 minute is:

 

Q=Nqα=10,0003.2×1019=3.2×1015C.Q = N \cdot q_\alpha = 10,000 \cdot 3.2 \times 10^{-19} = 3.2 \times 10^{-15} \, \text{C}.

 


3. Current

Convert the time from minutes to seconds:

 

t=60seconds.t = 60 \, \text{seconds}.

 

The current is:

 

I=Qt=3.2×101560=0.533×1016A.I = \frac{Q}{t} = \frac{3.2 \times 10^{-15}}{60} = 0.533 \times 10^{-16} \, \text{A}.

 

Rounding off, the current is approximately:

 

0.5×1016A.\boxed{0.5 \times 10^{-16} \, \text{A}}.

 

Question 2: easy

Which graph best represents the relationship between conductivity and resistivity for a solid ?

1.
2.
3.
4.
View Answer

Product of Resistivity and Conductivity is 1.

\[ \rho\times \sigma= 1\]

So graph will be rectangular hyperbola.