Use of hair color will lead to hair fall

No - the use of hair color does not lead to hair fall.

It is normal to lose on an average around 60 strands of hair per day. Given below are the reasons for hair fall :

Illness (Including anemia, certain deficiencies)

Certain scalp infections

Hormonal imbalances

Stress: Physical & psychological

Brushing / pulling hair in a rough manner

Hereditary

Ageing