Wash and drain daal well. Add some fresh water to cover daal.
Add crushed pepper, turmeric, ginger/garlic (you are using), cumin powder, sugar and salt. Stir and cook until daal is very soft. Add 3 cups water and stir to mix.
Remove from heat and blend by using a potato masher or a blender. This daal is textured rather than very smooth; therefore stop blending when it is slightly coarse.
Return to heat and add peas, carrots, beans, and tomatoes. Return to heat and bring the mixture to a boil, reduce heat and cook for 25 to 30 minutes on low heat or until all vegetables are cooked but not mushy.
Add green chilies and cilantro and cook for another 5 minutes.
Meanwhile, heat oil in a small saucepan, add mustard seeds and let them splurtter. Add dried red chilies and brown lightly shaking the saucepan for even browning.
Transfer prepared daal to a serving bowl and pour the Thadka ( spiced oil on top).
Stir gently to serve with Plain white rice