Write number of significant digits
(i) 62.3 cm
(ii) `6.23 xx 10^(1)` cm
(iii) 20.00
(iv) `0.02 xx 10^(-19)`
(v) 500.000
(vi) 0.5210
(vii) 896.80
(viii) 201
(ix) 1200
(x) 1200 N.

Answer

To determine the number of significant digits in each of the given numbers, we will follow the rules of significant figures. Here’s a step-by-step solution for each part of the question:

### Step-by-Step Solution:

1. **(i) 62.3 cm**
- **Analysis**: All non-zero digits are significant. The digit '6', '2', and '3' are all non-zero.
- **Significant Digits**: 3

2. **(ii) 6.23 x 10^1 cm**
- **Analysis**: The power of ten does not affect the count of significant figures. The digits '6', '2', and '3' are significant.
- **Significant Digits**: 3

3. **(iii) 20.00**
- **Analysis**: All non-zero digits and any zeros after a decimal point are significant. Here, '2', '0', '0', and '0' are significant.
- **Significant Digits**: 4

4. **(iv) 0.02 x 10^(-19)**
- **Analysis**: Leading zeros are not significant. The only significant digit is '2'.
- **Significant Digits**: 1

5. **(v) 500.000**
- **Analysis**: All zeros after a decimal point are significant. Here, '5', '0', '0', '0', '0', and '0' are significant.
- **Significant Digits**: 6

6. **(vi) 0.5210**
- **Analysis**: Leading zeros are not significant. The digits '5', '2', '1', and '0' (trailing zero after decimal) are significant.
- **Significant Digits**: 4

7. **(vii) 896.80**
- **Analysis**: All digits including the trailing zero after the decimal are significant. The digits '8', '9', '6', '8', and '0' are significant.
- **Significant Digits**: 5

8. **(viii) 201**
- **Analysis**: All non-zero digits are significant. The digits '2', '0', and '1' are significant.
- **Significant Digits**: 3

9. **(ix) 1200**
- **Analysis**: The trailing zeros in a whole number without a decimal point are ambiguous. We can express it as 1.2 x 10^3 to clarify that there are 2 significant digits.
- **Significant Digits**: 2

10. **(x) 1200 N**
- **Analysis**: Similar to (ix), the trailing zeros are ambiguous. It can also be expressed as 1.2 x 10^3 N to indicate 2 significant digits.
- **Significant Digits**: 2

### Summary of Significant Digits:
- (i) 3
- (ii) 3
- (iii) 4
- (iv) 1
- (v) 6
- (vi) 4
- (vii) 5
- (viii) 3
- (ix) 2
- (x) 2